Conference Paper

A parameter-dependent Lyapunov function based approach to H∞-control of LPV discrete-time systems with delays

Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
DOI: 10.1109/CDC.2008.4738738 Conference: Decision and Control, 2008. CDC 2008. 47th IEEE Conference on, At Cancun, Mexico, Volume: pp. 4669-4674
Source: DBLP

ABSTRACT In this paper we study the problem of H control of linear parameter-varying (LPV) discrete-time systems with delays. In an LPV system, the state-space matrices are a function of time-varying parameters which are assumed to be real-time measurable. We utilize a parameter-dependent Lyapunov function to establish a delay-dependent H performance condition for the LPV system with unknown but bounded delays. On the basis of the H performance condition established, we develop a linear matrix inequality (LMI) based H control strategy. We show that solving the related LMI optimization problem paves the way for designing a H controller for the LPV discrete-time system with delays. We also use a numerical example to demonstrate the application of the presented H controller design method.

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May 27, 2014