Abstract and Applied Analysis

Nonfragile Robust Finite-Time L 2 - L Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays

Jun Song and Shuping He

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Abstract

The nonfragile robust finite-time L 2 - L control problem for a class of nonlinear uncertain systems with uncertainties and time-delays is considered. The nonlinear parameters are considered to satisfy the Lipschitz conditions and the exogenous disturbances are unknown but energy bounded. By using the Lyapunov function approach, the sufficient condition for the existence of nonfragile robust finite-time L 2 - L controller is given in terms of linear matrix inequalities (LMIs). The finite-time controller is designed such that the resulting closed-loop system is finite-time bounded for all admissible uncertainties and satisfies the given L 2 - L control index. Simulation results illustrate the validity of the proposed approach.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 265473, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450428

Digital Object Identifier
doi:10.1155/2013/265473

Mathematical Reviews number (MathSciNet)
MR3045041

Zentralblatt MATH identifier
1271.93051

Citation

Song, Jun; He, Shuping. Nonfragile Robust Finite-Time ${L}_{2}$ - ${L}_{\infty }$ Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 265473, 9 pages. doi:10.1155/2013/265473. https://projecteuclid.org/euclid.aaa/1393450428


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