Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays |
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| Authors: | P Selvaraj R Sakthivel S Marshal Anthoni M Rathika Mo Yong‐Cheol |
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| Affiliation: | 1. Department of Mathematics, Anna University‐Regional Centre, Coimbatore, Tamilnadu, India;2. Department of Mathematics, Sungkyunkwan University, Suwon, South Korea |
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| Abstract: | This article investigates the delay‐dependent robust dissipative sampled‐data control problem for a class of uncertain nonlinear systems with both differentiable and non‐differentiable time‐varying delays. The main purpose of this article is to design a retarded robust control law such that the resulting closed‐loop system is strictly (Q, S, R)‐dissipative. By introducing a suitable Lyapunov–Krasovskii functional and using free weighting matrix approach, some sufficient conditions for the solvability of the addressed problem are derived in terms of linear matrix inequalities. From the obtained dissipative result, we deduce four cases namely, H∞ performance, passivity performance, mixed H∞, and passivity performance and sector bounded performance of the considered system. From the obtained result, it is concluded that based on the passivity performance it is possible to obtain the controller with less control effort, and also the minimum H∞ performance and the maximum allowable delay for achieving stabilization conditions can be obtained via the mixed H∞ and passivity control law. Finally, simulation studies based on aircraft control system are performed to verify the effectiveness of the proposed strategy. © 2015 Wiley Periodicals, Inc. Complexity 21: 142–154, 2016 |
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| Keywords: | nonlinear uncertain systems robust dissipative control sampled‐data approach aircraft control systems |
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