Performance analysis of piecewise linear systems and model predictive control systems

Author

Bemporad, A. ; Torris, F.D. ; Morari, M.

Author_Institution

Autom. Control Lab., Swiss Federal Inst. of Technol., Switzerland

Volume

5

fYear

2000

fDate

2000

Firstpage

4957

Abstract

Bemporad and Morari (1999) provided a tool for obtaining the explicit solution of constrained model predictive control (MPG) problems by showing that the control law is a continuous piecewise affine (PWA) function of the state vector. Therefore, the feedback interconnection between the MPC controller and a linear system, or a PWA system (e.g., a PWA approximation of a nonlinear system), is a PWA system. For discrete-time PWA and hybrid systems, the present authors (2000) presented an algorithm for verification/reachability analysis. In this paper, we formulate the performance analysis problem of closed-loop PWA systems (including MPC feedback loops where the prediction model and the plant model could be different) as a reachability analysis problem, and use our algorithm to obtain a tool for characterizing (i) the set of states for which the evolution is feasible, (ii) the domain of stability, (iii) the performance of the closed-loop

Keywords

control system analysis; feedback; linear systems; predictive control; reachability analysis; stability; continuous piecewise affine function; feedback interconnection; feedback loops; hybrid systems; model predictive control systems; performance analysis; piecewise linear systems; plant model; prediction model; reachability analysis problem; stability domain; Control systems; Linear feedback control systems; Linear systems; Nonlinear control systems; Performance analysis; Piecewise linear techniques; Predictive control; Predictive models; Reachability analysis; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914718

Filename

914718