Improved delay-dependent bounded real lemma for uncertain time-delay systems. (English) Zbl 1171.93333

Li, Tao; Guo, Lei; Xin, Xin

Inf. Sci. 179, No. 20, 3711-3719 (2009).

Summary: This paper concerns reducing the conservatism of delay-dependent Bounded Real Lemma (BRL) of time-delay systems with uncertainty described by a linear fractional form. By introducing an augmented Lyapunov functional, an improved BRL is established in terms of Linear Matrix Inequalities (LMIs). Theoretical comparisons show that the obtained BRL is less conservative than some previous ones and the recent results in [S. Xu, J. Lam and Y. Zou, Automatica 42, No. 2, 343–348 (2006; Zbl 1099.93010); T. Li, L. Guo, C. Lin and Y. M. Zhang, Delay-range-dependent bounded real lemma for time-delay systems, Asian J. Control 10, 708–717 (2008)] are actually equivalent to the special cases of the obtained BRL. Numerical examples are also given to demonstrate the effectiveness of the proposed result.

MSC:

93C05	Linear systems in control theory
93C15	Control/observation systems governed by ordinary differential equations
93B35	Sensitivity (robustness)
93C41	Control/observation systems with incomplete information

Keywords:

time-delay systems; delay-dependent; robustness; linear fractional form; bounded real Lemma; linear matrix inequality (LMI)

Citations:

Zbl 1099.93010

References:

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