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Performance analysis of piecewise linear systems and model predictive control systems

Bemporad, Alberto and Torrisi, Fabio Danilo and Morari, Manfred Performance analysis of piecewise linear systems and model predictive control systems. In: Decision and Control Conference. IEEE, Sydney, Australia December, 2000, pp. 4957-4962. ISBN 0-7803-6638-7 (2000)

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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

Item Type: Book Section
Identification Number: 10.1109/CDC.2001.914718
Uncontrolled Keywords: 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 system analysis; feedback; linear systems; predictive control; reachability analysis; stability
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:16
Last Modified: 17 Jul 2014 12:22
URI: http://eprints.imtlucca.it/id/eprint/574

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