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To my family. Acknowledgments This book is a revised version of my Ph.D. thesis from the automatic control laboratory at ETH-Zurich, written during the years 2001 to 2002. My thesis advisors were Manfred Morari and Alberto Bemporad. Almost all the material presented in this book is extracted from work done jointly with them. I would like to express my… (More)

- A. Bemporad, F. Borrelli, M. Morari
- 2000

In this paper we propose a procedure for synthesizing piecewise linear optimal controllers for hybrid systems and investigate conditions for closed-loop stability. Hybrid systems are modeled in discrete-time within the mixed logical dynamical (MLD) framework [8], or, equivalently [7], as piecewise affine (PWA) systems. A stabilizing controller is obtained… (More)

— For discrete-time uncertain linear systems with constraints on inputs and states, we develop an approach to determine state feedback controllers based on a min-max control formulation. Robustness is achieved against additive norm-bounded input disturbances and/or polyhedral para-metric uncertainties in the state-space matrices. We show that the… (More)

—This brief presents a model-based predictive control (MPC) approach to building cooling systems with thermal energy storage. We focus on buildings equipped with a water tank used for actively storing cold water produced by a series of chillers. First, simplified models of chillers, cooling towers, thermal storage tanks, and buildings are developed and… (More)

—In this paper a Model Predictive Control (MPC) approach for controlling an Active Front Steering system in an autonomous vehicle is presented. At each time step a trajectory in assumed to be known over a finite horizon, and an MPC controller computes the front steering angle in order to follow the trajectory on slippery roads at the highest possible entry… (More)

This paper presents an efficient algorithin for coiiiput-ing the solution to the constrained infinite time linear quadratic regulator (CLQR) problem for discrete time systems. The algorithm coinbiiies multi-parametric quadratic programming with reachability analysis to obtain the optiinal piecewise affine (PWA) feedback law. The algorithm reduces the time… (More)

We present a detailed study on the design of decentralized Receding Horizon Control (RHC) schemes for decoupled systems. We formulate an optimal control problem for a set of dynamically decoupled systems where the cost function and constraints couple the dynamical behavior of the systems. The coupling is described through a graph where each system is a node… (More)

— We consider a set of identical decoupled dynamical systems and a control problem where the performance index couples the behavior of the systems. The coupling is described through a communication graph where each system is a node and the control action at each node is only function of its state and the states of its neighbors. A distributed control design… (More)

In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise affine feedback control law. Then, we give an insight into the… (More)