A delay-dependent bounded real lemma for singular LPV systems with time-variant delay. (English) Zbl 1273.93088

Int. J. Robust Nonlinear Control 22, No. 5, 559-574 (2012); corrigendum ibid. 23, No. 5, 590 (2013).
Summary: This paper is concerned with establishing a delay-dependent Bounded Real Lemma (BRL) for singular Linear Parameter-Varying (LPV) systems with time-variant delay. In terms of linear matrix inequality, a delay-dependent BRL is presented to ensure singular time-delay LPV systems to be admissible and satisfy a prescribed \(H_{\infty }\) performance level. The BRL is obtained based on the construction of a parameter-dependent Lyapunov-Krasovskii functional. The effectiveness of the proposed approach is shown by several numerical examples.


93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
93B36 \(H^\infty\)-control
93D99 Stability of control systems
Full Text: DOI


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