Published January 21, 2004
by Springer .
Written in English
Lecture Notes in Control and Information Sciences
|The Physical Object|
|Number of Pages||232|
back optimal control laws for these more complex systems in the same way as algorithms for solving the Riccati equation are the main tools for computing optimal controllers for linear systems. In the second part of the book we focus on linear systems with polyhedral constraints on inputs and states. We study ﬁnite time and inﬁnite time op-File Size: 1MB. Constrained Optimal Control of Linear and Hybrid Systems Published in: IEEE Transactions on Automatic Control (Volume: 50, Issue: 7, July ) Article #. Request PDF | On Jul 1, , F. Borelli and others published Constrained Optimal Control of Linear and Hybrid Systems | Find, read and cite all the research you need on ResearchGate. Abstract: We consider the constrained finite and infinite time optimal control problem for the class of discrete-time linear hybrid systems. When a linear performance index is used the finite and infinite time optimal solution is a piecewise affine state feedback control by:
A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. Currently he is an assistant professor at the “Universitá del Sannio”, Benevento, Italy. He is author of the book “Constrained Optimal Control of Linear and Hybrid Systems” published by Springer Verlag. He is the winner of the “Innovation Prize ” from the ElectroSwiss by: We developed the declarative language HYSDEL (HYbrid System DEscription Language) which fully automatizes the construction of MLD and Piecewise Affine (PWA) forms from a high level description of the hybrid system. For hybrid systems we study constrained optimal controllers which are able to stabilize hybrid systems on desired reference. For linear systems in particular, there exist several methods [8,9]for systematically computing the optimal feedback control law for different regions in the state space depending on the goal region and the convex state and input : Francesco Borrelli.
BOOKS  A. Bemporad  A. Bemporad and M. Morari, “Predictive control of constrained hybrid systems,” in Nonlinear Model Predictive Control, F A. Bemporad, and J. Sá da Costa, “Robust optimal control of linear hybrid systems: An MLD approach,” in Sixth Portuguese Conference on Automatic Control. This book focuses on the efficient and systematic computation of closed-form optimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. These systems may exhibit rather complex behavior and are equivalent to many other hybrid system formalisms (combining continuous-valued dynamics with logic rules) reported. Abstract. In this chapter we study the solution to optimal control problems for discrete time linear hybrid systems. First, we show 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 state feedback control law. Constrained Optimal Control: Piecewise Affine and Linear Parameter-Varying Systems [Besselmann, Thomas J.] on *FREE* shipping on qualifying offers. Constrained Optimal Control: Piecewise Affine and Linear Parameter-Varying Systems.