NDLI: Performance analysis of piecewise linear systems and model predictive control systems

Content Provider	IEEE Xplore Digital Library
Author	Bemporad, A. Torris, F.D. Morari, M.
Copyright Year	2000
Description	Author affiliation: Autom. Control Lab., Swiss Federal Inst. of Technol., Switzerland (Bemporad, A.)
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.
Starting Page	4957
Ending Page	4962
File Size	776239
Page Count	6
File Format	PDF
ISBN	0780366387
ISSN	01912216
DOI	10.1109/CDC.2001.914718
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-12-12
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Performance analysis Piecewise linear techniques Predictive models Reachability analysis Predictive control Vectors Linear feedback control systems Nonlinear control systems Control systems Linear systems
Content Type	Text
Resource Type	Article

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