Dilated model predictive control strategy for linear parameter-varying systems with a time-varying terminal set

G. Franzè; D. Famularo; E. Garone; A. Casavola

Dilated model predictive control strategy for linear parameter-varying systems with a time-varying terminal set

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Dilated model predictive control strategy for linear parameter-varying systems with a time-varying terminal set

Author(s): G. Franzè ; D. Famularo ; E. Garone ; A. Casavola
DOI: 10.1049/iet-cta:20070290

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Author(s): G. Franzè ¹ ; D. Famularo ² ; E. Garone ¹ ; A. Casavola ¹
- Affiliations: 1: Dipartimento di Elettronica, Informatica e Sistemistica, Universitá degli Studi della Calabria, Rende (CS), Italy
  2: DIMET, Facoltá di Ingegneria, Universitá degli Studi di Reggio Calabria, Reggio Calabria, Italy
Source: Volume 3, Issue 1, January 2009, p. 110 – 120
DOI: 10.1049/iet-cta:20070290 , Print ISSN 1751-8644, Online ISSN 1751-8652

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We propose a model predictive control (MPC) strategy for input-saturated polytopic linear parameter-varying (LPV) discrete-time systems. Under the hypothesis that the plant parameter is measurable at each time instant, a dilation technique and parameter time-varying Lyapunov functions are exploited to reduce the conservativeness of pre-existing robust MPC paradigms. The contribution of this paper is to extend the MPC scheme presented in (Casavola et al. 2006) to the general case of control horizons of arbitrary length N, by considering the terminal constraint set to be time-varying. Feasibility and closed-loop stability of this strategy are proved and a final numerical example presented in order to show performance improvements with respect to pre-existing techniques.

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Dilated model predictive control strategy for linear parameter-varying systems with a time-varying terminal set

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