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Content Provider | IEEE Xplore Digital Library |
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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 | |
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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