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- Paul J. Goulart, Eric C. Kerrigan, Jan M. Maciejowski
- Automatica
- 2006

This paper is concerned with the optimal control of linear discrete-time systems, which are subject to unknown but bounded state disturbances and mixed constraints on the state and input. It is shownâ€¦ (More)

- Kostas Margellos, Paul J. Goulart, John Lygeros
- IEEE Transactions on Automatic Control
- 2014

We propose a new method for solving chance constrained optimization problems that lies between robust optimization and scenario-based methods. Our method does not require prior knowledge of theâ€¦ (More)

- Juan Luis Jerez, Paul J. Goulart, Stefan Richter, George A. Constantinides, Eric C. Kerrigan, Manfred Morari
- IEEE Transactions on Automatic Control
- 2014

Faster, cheaper, and more power efficient optimization solvers than those currently possible using general-purpose techniques are required for extending the use of model predictive control (MPC) toâ€¦ (More)

- Joseph Warrington, Paul J. Goulart, SÃ©bastien MariÃ©thoz, Manfred Morari
- IEEE Transactions on Power Systems
- 2013

This paper introduces the concept of affine reserve policies for accommodating large, fluctuating renewable in feeds in power systems. The approach uses robust optimization with recourse to determineâ€¦ (More)

- Bart P. G. Van Parys, Paul J. Goulart, Daniel Kuhn
- Math. Program.
- 2016

A sharp upper bound on the probability of a random vector falling outside a polytope, based solely on the first and second moments of its distribution, can be computed efficiently using semidefiniteâ€¦ (More)

- Sergei Chernyshenko, Paul J. Goulart, D. Huang, Athanasia Papachristodoulou
- Philosophical transactions. Series Aâ€¦
- 2014

The first part of this paper reviews the application of the sum-of-squares-of-polynomials technique to the problem of global stability of fluid flows. It describes the known approaches and the latestâ€¦ (More)

- Michael J. Hadjiyiannis, Paul J. Goulart, Daniel Kuhn
- IEEE Conference on Decision and Control andâ€¦
- 2011

Robust dynamic optimization problems involving adaptive decisions are computationally intractable in general. Tractable upper bounding approximations can be obtained by requiring the adaptiveâ€¦ (More)

- Michael J. Hadjiyiannis, Paul J. Goulart, Daniel Kuhn
- IEEE Transactions on Automatic Control
- 2011

We consider robust feedback control of time-varying, linear discrete-time systems operating over a finite horizon. For such systems, we consider the problem of designing robust causal controllersâ€¦ (More)

- Paul J. Goulart
- 1996

This thesis is concerned with the optimal control of linear discrete-time systems with convex state and input constraints and subject to bounded disturbances. It is shown that the nonconvex problemâ€¦ (More)

- Juan Luis Jerez, Paul J. Goulart, Stefan Richter, George A. Constantinides, Eric C. Kerrigan, Manfred Morari
- 2013 European Control Conference (ECC)
- 2013

Model predictive control (MPC) in resource-constrained embedded platforms requires faster, cheaper and more power-efficient solvers for convex programs than is currently offered by software-basedâ€¦ (More)