An LMI approach to H∞ controller design for linear time-delay systems
Automatica (Journal of IFAC)
A Unified Algebric Approach to Control Design
A Unified Algebric Approach to Control Design
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Delay-dependent robust H∞ control for uncertain systems with a state-delay
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Polynomial modeling for time-varying systems based on a particle swarm optimization algorithm
Information Sciences: an International Journal
On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances
Information Sciences: an International Journal
Information Sciences: an International Journal
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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.Y. Xu, L. James, Y. Zou, New results on delay-dependent robust H"~ control for systems with time-varying delays, Automatica 42 (2006) 343-348; T. Li, L. Guo, C. Lin, Y.M. Zhang, Delay-range-dependent bounded real lemma for time-delay systems, Asian Journal of Control 10 (2008) 708-717] are actually equivalent to the special cases of the obtained BRL. Numerical examples are also given to demonstrate the effectiveness of the proposed result.