Paul Goulart - University of Oxford

Reliably-Stabilizing Piecewise-Affine Neural Network Controllers
Filippo Fabiani and Paul J. Goulart
IEEE Transactions on Automatic Control, vol. 68, no. 9, pp. 5201-5215, 2023.
BibTeX URL Preprint

@article{FG:2023,
  author = {Fabiani, Filippo and Goulart, Paul J.},
  title = {Reliably-Stabilizing Piecewise-Affine Neural Network Controllers},
  journal = {IEEE Transactions on Automatic Control},
  year = {2023},
  volume = {68},
  number = {9},
  pages = {5201-5215},
  url = {https://ieeexplore.ieee.org/document/9928332},
  doi = {10.1109/TAC.2022.3216978}
}

Stochastic MPC with Dynamic Feedback Gain Selection and Discounted Probabilistic Constraints
Shuhao Yan, P. J. Goulart and Mark Cannon
IEEE Transactions on Automatic Control, vol. 67, no. 11, pp. 5885-5899, November 2022.
BibTeX Preprint

@article{YGC:2022,
  author = {Shuhao Yan and P. J. Goulart and Mark Cannon},
  title = {Stochastic MPC with Dynamic Feedback Gain Selection and Discounted Probabilistic Constraints},
  journal = {IEEE Transactions on Automatic Control},
  year = {2022},
  volume = {67},
  number = {11},
  pages = {5885-5899},
  doi = {10.1109/TAC.2021.3128466}
}

Stochastic output feedback MPC with intermittent observations
Shuhao Yan, Mark Cannon and Paul J. Goulart
Automatica, vol. 141, pp. 110282, July 2022.
BibTeX URL Preprint

@article{YCG:2022,
  author = {Shuhao Yan and Mark Cannon and Paul J. Goulart},
  title = {Stochastic output feedback MPC with intermittent observations},
  journal = {Automatica},
  year = {2022},
  volume = {141},
  pages = {110282},
  url = {https://www.sciencedirect.com/science/article/pii/S0005109822001285},
  doi = {10.1016/j.automatica.2022.110282}
}

Probabilistic stabilizability certificates for a class of black-box linear systems
Filippo Fabiani, Kostas Margellos and Paul J. Goulart
IEEE Control Systems Letters, vol. 6, pp. 584-589, June 2022.
BibTeX URL Preprint

@article{FMG:2022b,
  author = {Filippo Fabiani and Kostas Margellos and Paul J. Goulart},
  title = {Probabilistic stabilizability certificates for a class of black-box linear systems},
  journal = {IEEE Control Systems Letters},
  year = {2022},
  volume = {6},
  pages = {584-589},
  url = {https://ieeexplore.ieee.org/document/9441020},
  doi = {10.1109/LCSYS.2021.3083962}
}

Neural network controllers for uncertain linear systems
Filippo Fabiani and Paul J. Goulart
April 2022.
BibTeX Preprint

@misc{FG:2022,
  author = {Filippo Fabiani and Paul J. Goulart},
  title = {Neural network controllers for uncertain linear systems},
  year = {2022}
}

A dynamic programming framework for optimal delivery time slot pricing
Denis Lebedev, Paul J. Goulart and Kostas Margellos
European Journal of Operational Research, vol. 292, no. 2, pp. 456-468, July 2021.
BibTeX URL Preprint

@article{LGM:2021b,
  author = {Denis Lebedev and Paul J. Goulart and Kostas Margellos},
  title = {A dynamic programming framework for optimal delivery time slot pricing},
  journal = {European Journal of Operational Research},
  year = {2021},
  volume = {292},
  number = {2},
  pages = {456-468},
  url = {https://www.sciencedirect.com/science/article/pii/S0377221720309565},
  doi = {10.1016/j.ejor.2020.11.010}
}

Output feedback stochastic MPC with packet losses
S. Yan, M. Cannon and P. J. Goulart
in IFAC World Congress, Berlin, Germany, July 2020.
BibTeX

@inproceedings{YCG:2020,
  author = {S. Yan and M. Cannon and P. J. Goulart},
  title = {Output feedback stochastic MPC with packet losses},
  booktitle = {IFAC World Congress},
  year = {2020}
}

ADMM for Block Circulant Model Predictive Control
I. Kempf, P. J. Goulart and S. Duncan
in 2019 IEEE Conference on Decision and Control (CDC), Nice, France, pp. 4311-4316, December 2019.
BibTeX Preprint

@inproceedings{KGD:2019,
  author = {I. Kempf and P. J. Goulart and S. Duncan},
  title = {ADMM for Block Circulant Model Predictive Control},
  booktitle = {2019 IEEE Conference on Decision and Control (CDC)},
  year = {2019},
  pages = {4311-4316}
}

Stochastic Model Predictive Control with Discounted Probabilistic Constraints
S. Yan, P. J. Goulart and M. Cannon
in European Control Conference, Limassol, Cyprus, pp. 1003-1008, June 2018.
BibTeX

@inproceedings{YGC:2018,
  author = {S. Yan and P. J. Goulart and M. Cannon},
  title = {Stochastic Model Predictive Control with Discounted Probabilistic Constraints},
  booktitle = {European Control Conference},
  year = {2018},
  pages = {1003-1008}
}

Robust Optimal Control with Adjustable Uncertainty Sets
X. Zhang, M. Kamgarpour, A. Georghiou, P. J. Goulart and J. Lygeros
Automatica, vol. 75, no. 1, pp. 249-259, January 2017.
BibTeX URL Preprint

@article{ZKGetal:2017,
  author = {X. Zhang and M. Kamgarpour and A. Georghiou and P. J. Goulart and J. Lygeros},
  title = {Robust Optimal Control with Adjustable Uncertainty Sets},
  journal = {Automatica},
  year = {2017},
  volume = {75},
  number = {1},
  pages = {249-259},
  url = {http://dx.doi.org/10.1016/j.automatica.2016.09.016},
  doi = {10.1016/j.automatica.2016.09.016}
}

A scenario approach for non-convex control design
S. Grammatico, X. Zhang, K. Margellos, P. J. Goulart and J. Lygeros
IEEE Transactions on Automatic Control, vol. 61, no. 2, pp. 334-345, February 2016.
BibTeX URL Preprint

@article{GZMetal:2016,
  author = {S. Grammatico and X. Zhang and K. Margellos and P. J. Goulart and J. Lygeros},
  title = {A scenario approach for non-convex control design},
  journal = {IEEE Transactions on Automatic Control},
  year = {2016},
  volume = {61},
  number = {2},
  pages = {334-345},
  url = {http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=7108021},
  doi = {10.1109/TAC.2015.2433591}
}

Distributionally robust control of constrained stochastic systems
B. Van Parys, D. Kuhn, P. J. Goulart and M. Morari
IEEE Transactions on Automatic Control, vol. 61, no. 2, pp. 430-442, February 2016.
BibTeX URL Preprint

@article{PKGM:2016,
  author = {B. Van Parys and D. Kuhn and P. J. Goulart and M. Morari},
  title = {Distributionally robust control of constrained stochastic systems},
  journal = {IEEE Transactions on Automatic Control},
  year = {2016},
  volume = {61},
  number = {2},
  pages = {430-442},
  url = {http://dx.doi.org/10.1109/TAC.2015.2444134},
  doi = {10.1109/TAC.2015.2444134}
}

Linear Controller Design for Chance Constrained Systems
G. Schildbach, P. J. Goulart and M. Morari
Automatica, vol. 51, no. 1, pp. 278-284, January 2015.
BibTeX URL Preprint

@article{SGM:2015,
  author = {G. Schildbach and P. J. Goulart and M. Morari},
  title = {Linear Controller Design for Chance Constrained Systems},
  journal = {Automatica},
  year = {2015},
  volume = {51},
  number = {1},
  pages = {278-284},
  url = {http://dx.doi.org/10.1016/j.automatica.2014.10.096},
  doi = {10.1016/j.automatica.2014.10.096}
}

Selling Robustness Margins: A Framework for Optimizing Reserve Capacities for Uncertain Systems
X. Zhang, M. Kamgarpour, P. J. Goulart and J. Lygeros
in IEEE Conference on Decision and Control, Los Angeles, CA, USA, pp. 6419-6424, December 2014.
BibTeX URL Preprint

@inproceedings{ZKGL:2014,
  author = {X. Zhang and M. Kamgarpour and P. J. Goulart and J. Lygeros},
  title = {Selling Robustness Margins: A Framework for Optimizing Reserve Capacities for Uncertain Systems},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2014},
  pages = {6419-6424},
  url = {http://dx.doi.org/10.1109/CDC.2014.7040396},
  doi = {10.1109/CDC.2014.7040396}
}

Randomized nonlinear MPC for uncertain control-affine systems with bounded closed-loop constraint violations
X. Zhang, S. Grammatico, K. Margellos, P. J. Goulart and J. Lygeros
in IFAC World Congress, Cape Town, South Africa, pp. 1649-1654, August 2014.
BibTeX URL Preprint

@inproceedings{ZGMetal:2014,
  author = {X. Zhang and S. Grammatico and K. Margellos and P. J. Goulart and J. Lygeros},
  title = {Randomized nonlinear MPC for uncertain control-affine systems with bounded closed-loop constraint violations},
  booktitle = {IFAC World Congress},
  year = {2014},
  pages = {1649-1654},
  url = {http://dx.doi.org/10.3182/20140824-6-ZA-1003.02436},
  doi = {10.3182/20140824-6-ZA-1003.02436}
}

On the sample size of randomized MPC for chance-constrained systems with application to building climate control
X. Zhang, S. Grammatico, G. Schildbach, P. J. Goulart and J. Lygeros
in European Control Conference, Strasbourg, France, pp. 478-483, June 2014.
BibTeX URL Preprint

@inproceedings{ZGSetal:2014,
  author = {X. Zhang and S. Grammatico and G. Schildbach and P. J. Goulart and J. Lygeros},
  title = {On the sample size of randomized MPC for chance-constrained systems with application to building climate control},
  booktitle = {European Control Conference},
  year = {2014},
  pages = {478-483},
  url = {http://dx.doi.org/10.1109/ECC.2014.6862498},
  doi = {10.1109/ECC.2014.6862498}
}

Stochastic Model Predictive Control Using a Combination of Randomized and Robust Optimization
X. Zhang, K. Margellos, P. J. Goulart and J. Lygeros
in IEEE Conference on Decision and Control, Florence, Italy, pp. 7740-7745, December 2013.
BibTeX URL Preprint

@inproceedings{ZMGL:2013,
  author = {X. Zhang and K. Margellos and P. J. Goulart and J. Lygeros},
  title = {Stochastic Model Predictive Control Using a Combination of Randomized and Robust Optimization},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2013},
  pages = {7740-7745},
  url = {http://dx.doi.org/10.1109/CDC.2013.6761118},
  doi = {10.1109/CDC.2013.6761118}
}

Infinite Horizon Performance Bounds for Uncertain Constrained Systems
B. Van Parys, P. J. Goulart and M. Morari
IEEE Transactions on Automatic Control, vol. 58, no. 11, pp. 2803-2817, November 2013.
BibTeX URL Preprint

@article{PGM:2013,
  author = {B. Van Parys and P. J. Goulart and M. Morari},
  title = {Infinite Horizon Performance Bounds for Uncertain Constrained Systems},
  journal = {IEEE Transactions on Automatic Control},
  year = {2013},
  volume = {58},
  number = {11},
  pages = {2803-2817},
  url = {http://dx.doi.org/10.1109/TAC.2013.2270052},
  doi = {10.1109/TAC.2013.2270052}
}

The Linear Quadratic Regulator with Chance Constraints
G. Schildbach, P. J. Goulart and M. Morari
in European Control Conference, Zürich, Switzerland, pp. 2746-2751, July 2013.
BibTeX URL Preprint

@inproceedings{SGM:2013,
  author = {G. Schildbach and P. J. Goulart and M. Morari},
  title = {The Linear Quadratic Regulator with Chance Constraints},
  booktitle = {European Control Conference},
  year = {2013},
  pages = {2746-2751},
  url = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6669660}
}

Performance Bounds for Constrained Linear Min-Max Control
T. H. Summers and P. J. Goulart
in European Control Conference, Zürich, Switzerland, pp. 185-190, July 2013.
BibTeX URL Preprint

@inproceedings{SG:2013,
  author = {T. H. Summers and P. J. Goulart},
  title = {Performance Bounds for Constrained Linear Min-Max Control},
  booktitle = {European Control Conference},
  year = {2013},
  pages = {185-190},
  url = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6669333}
}

Infinite-horizon performance bounds for constrained stochastic systems
B. Van Parys, P. J. Goulart and M. Morari
in IEEE Conference on Decision and Control, Maui, HI, USA, pp. 2171-2176, December 2012.
BibTeX URL Preprint

@inproceedings{PGM:2012b,
  author = {B. Van Parys and P. J. Goulart and M. Morari},
  title = {Infinite-horizon performance bounds for constrained stochastic systems},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2012},
  pages = {2171-2176},
  url = {http://dx.doi.org/10.1109/CDC.2012.6426848},
  doi = {10.1109/CDC.2012.6426848}
}

Performance bounds for min-max uncertain constrained systems
B. Van Parys, P. J. Goulart and M. Morari
in IFAC Workshop on Nonlinear Model Predictive Control, Amsterdam, Netherlands, pp. 107-112, August 2012.
BibTeX URL Preprint

@inproceedings{PGM:2012a,
  author = {B. Van Parys and P. J. Goulart and M. Morari},
  title = {Performance bounds for min-max uncertain constrained systems},
  booktitle = {IFAC Workshop on Nonlinear Model Predictive Control},
  year = {2012},
  pages = {107-112},
  url = {http://dx.doi.org/10.3182/20120823-5-NL-3013.00018},
  doi = {10.3182/20120823-5-NL-3013.00018}
}

An Efficient Method to Estimate the Suboptimality of Affine Controllers
M. Hadjiyannis, P. J. Goulart and D. Kuhn
IEEE Transactions on Automatic Control, vol. 56, no. 12, pp. 2841-2853, December 2011.
BibTeX URL Preprint

@article{HGK:2011b,
  author = {M. Hadjiyannis and P. J. Goulart and D. Kuhn},
  title = {An Efficient Method to Estimate the Suboptimality of Affine Controllers},
  journal = {IEEE Transactions on Automatic Control},
  year = {2011},
  volume = {56},
  number = {12},
  pages = {2841-2853},
  url = {http://dx.doi.org/10.1109/TAC.2011.2139390},
  doi = {10.1109/TAC.2011.2139390}
}

Stability of Model Predictive Control using Markov Chain Monte Carlo Optimisation
E. Siva, P. J. Goulart, J. M. Maciejowski and N. Kantas
in European Control Conference, Budapest, Hungary, pp. 2851-2856, August 2009.
BibTeX URL

@inproceedings{SGMK:2009,
  author = {E. Siva and P. J. Goulart and J. M. Maciejowski and N. Kantas},
  title = {Stability of Model Predictive Control using Markov Chain Monte Carlo Optimisation},
  booktitle = {European Control Conference},
  year = {2009},
  pages = {2851-2856},
  url = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7074840}
}

Control of Constrained Discrete-Time Systems With Bounded ℓ_2 Gain
P. J. Goulart, E. C. Kerrigan and T. Alamo
IEEE Transactions on Automatic Control, vol. 54, no. 5, pp. 1105-1111, May 2009.
BibTeX URL

@article{GKA:2009,
  author = {P. J. Goulart and E. C. Kerrigan and T. Alamo},
  title = {Control of Constrained Discrete-Time Systems With Bounded ℓ_2 Gain},
  journal = {IEEE Transactions on Automatic Control},
  year = {2009},
  volume = {54},
  number = {5},
  pages = {1105-1111},
  url = {http://dx.doi.org/10.1109/TAC.2009.2013002},
  doi = {10.1109/TAC.2009.2013002}
}

Stochastic Optimisation for Nonlinear Stochastic MPC
E. Siva, P. J. Goulart and J. M. Maciejowski
in IFAC Workshop on Nonlinear Model Predictive Control, Pavia, Italy, September 2008.
BibTeX

@inproceedings{SGM:2008,
  author = {E. Siva and P. J. Goulart and J. M. Maciejowski},
  title = {Stochastic Optimisation for Nonlinear Stochastic MPC},
  booktitle = {IFAC Workshop on Nonlinear Model Predictive Control},
  year = {2008}
}

Efficient Robust Optimization for Robust Control with Constraints
P. J. Goulart, E. C. Kerrigan and D. Ralph
Mathematical Programming, vol. 114, no. 1, pp. 115-147, July 2008.
BibTeX URL Preprint

@article{GKR:2008,
  author = {P. J. Goulart and E. C. Kerrigan and D. Ralph},
  title = {Efficient Robust Optimization for Robust Control with Constraints},
  journal = {Mathematical Programming},
  year = {2008},
  volume = {114},
  number = {1},
  pages = {115-147},
  url = {http://dx.doi.org/10.1007/s10107-007-0096-6},
  doi = {10.1007/s10107-007-0096-6}
}

Input-to-state stability of robust receding horizon control with an expected value cost
P. J. Goulart and E. C. Kerrigan
Automatica, vol. 44, no. 4, pp. 1171-1174, April 2008.
BibTeX URL Preprint

@article{GK:2008,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {Input-to-state stability of robust receding horizon control with an expected value cost},
  journal = {Automatica},
  year = {2008},
  volume = {44},
  number = {4},
  pages = {1171-1174},
  url = {http://dx.doi.org/10.1016/j.automatica.2007.08.009},
  doi = {10.1016/j.automatica.2007.08.009}
}

Constrained Control Using Model Predictive Control
J. M. Maciejowski, P. J. Goulart and E. C. Kerrigan
in Advanced strategies in control systems with input and output constraints, pp. 273-291, July 2007.
BibTeX URL

@incollection{MGK:2007,
  author = {J. M. Maciejowski and P. J. Goulart and E. C. Kerrigan},
  title = {Constrained Control Using Model Predictive Control},
  booktitle = {Advanced strategies in control systems with input and output constraints},
  publisher = {Springer},
  year = {2007},
  pages = {273-291},
  url = {http://dx.doi.org/10.1007/978-3-540-37010-9_9},
  doi = {10.1007/978-3-540-37010-9_9}
}

Output Feedback Receding Horizon Control of Constrained Systems
P. J. Goulart and E. C. Kerrigan
International Journal of Control, vol. 80, no. 1, pp. 8-20, January 2007.
BibTeX URL Preprint

@article{GK:2007,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {Output Feedback Receding Horizon Control of Constrained Systems},
  journal = {International Journal of Control},
  year = {2007},
  volume = {80},
  number = {1},
  pages = {8-20},
  url = {http://dx.doi.org/10.1080/00207170600892949},
  doi = {10.1080/00207170600892949}
}

A Convex Formulation for Receding Horizon Control of Constrained Discrete-Time Systems with Guaranteed ℓ_2 Gain
P. J. Goulart and E. C. Kerrigan
in IEEE Conference on Decision and Control, San Diego, CA, USA, pp. 5447-5452, December 2006.
BibTeX URL

@inproceedings{GK:2006a,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {A Convex Formulation for Receding Horizon Control of Constrained Discrete-Time Systems with Guaranteed ℓ_2 Gain},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2006},
  pages = {5447-5452},
  url = {http://dx.doi.org/10.1109/CDC.2006.377625},
  doi = {10.1109/CDC.2006.377625}
}

A Method for Robust Receding Horizon Output Feedback Control of Constrained Systems
P. J. Goulart and E. C. Kerrigan
in IEEE Conference on Decision and Control, San Diego, CA, USA, pp. 5471-5476, December 2006.
BibTeX URL

@inproceedings{GK:2006,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {A Method for Robust Receding Horizon Output Feedback Control of Constrained Systems},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2006},
  pages = {5471-5476},
  url = {http://dx.doi.org/10.1109/CDC.2006.377218},
  doi = {10.1109/CDC.2006.377218}
}

Affine Feedback Policies for Robust Control with Constraints
P. J. Goulart
PhD thesis, University of Cambridge, November 2006.
BibTeX URL

@phdthesis{Gou:2006,
  author = {P. J. Goulart},
  title = {Affine Feedback Policies for Robust Control with Constraints},
  school = {University of Cambridge},
  year = {2006},
  url = {pdfs/PJGthesis.pdf}
}

Robust Receding Horizon Control with an Expected Value Cost
P. J. Goulart and E. C. Kerrigan
in UKACC Conference, Glasgow, Scotland, August 2006.
BibTeX

@inproceedings{GK:2006b,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {Robust Receding Horizon Control with an Expected Value Cost},
  booktitle = {UKACC Conference},
  year = {2006}
}

Optimization Over State Feedback Policies for Robust Control with Constraints
P. J. Goulart, E. C. Kerrigan and J. M. Maciejowski
Automatica, vol. 42, no. 4, pp. 523-533, April 2006.
BibTeX URL Preprint

@article{GKM:2006,
  author = {P. J. Goulart and E. C. Kerrigan and J. M. Maciejowski},
  title = {Optimization Over State Feedback Policies for Robust Control with Constraints},
  journal = {Automatica},
  year = {2006},
  volume = {42},
  number = {4},
  pages = {523-533},
  url = {http://dx.doi.org/10.1016/j.automatica.2005.08.023},
  doi = {10.1016/j.automatica.2005.08.023}
}

State Feedback Policies for Robust Receding Horizon Control: Uniqueness, Continuity, and Stability
P. J. Goulart, E. C. Kerrigan and J. M. Maciejowski
in IEEE Conference on Decision and Control, Seville, Spain, pp. 3753-3758, December 2005.
BibTeX URL

@inproceedings{GKM:2005,
  author = {P. J. Goulart and E. C. Kerrigan and J.M. Maciejowski},
  title = {State Feedback Policies for Robust Receding Horizon Control: Uniqueness, Continuity, and Stability},
  booktitle = {IEEE Conference on Decision and Control},
  year = {2005},
  pages = {3753-3758},
  url = {http://dx.doi.org/10.1109/CDC.2005.1582746},
  doi = {10.1109/CDC.2005.1582746}
}

An Efficient Decomposition-Based Formulation for Robust Control with Constraints
P. J. Goulart and E. C. Kerrigan
in IFAC World Congress, Prague, Czech Republic, July 2005.
BibTeX URL

@inproceedings{GK:2005a,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {An Efficient Decomposition-Based Formulation for Robust Control with Constraints},
  booktitle = {IFAC World Congress},
  year = {2005},
  url = {http://dx.doi.org/10.3182/20050703-6-CZ-1902.00986},
  doi = {10.3182/20050703-6-CZ-1902.00986}
}

Relationships Between Affine Feedback Policies for Robust Control with Constraints
P. J. Goulart and E. C. Kerrigan
in IFAC World Congress, Prague, Czech Republic, July 2005.
BibTeX URL

@inproceedings{GK:2005,
  author = {P. J. Goulart and E. C. Kerrigan},
  title = {Relationships Between Affine Feedback Policies for Robust Control with Constraints},
  booktitle = {IFAC World Congress},
  year = {2005},
  url = {http://dx.doi.org/10.3182/20050703-6-CZ-1902.01042},
  doi = {10.3182/20050703-6-CZ-1902.01042}
}