Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 25, Issue 6, Pages 914-936Publisher
WILEY
DOI: 10.1002/rnc.3121
Keywords
Switched delay systems; finite-time boundedness; H control; delay-dependent stability conditions; average dwell time
Funding
- National Natural Science Foundation of China [61273123, 61304059, 61374004, 61104136, 61104007]
- Program for New Century Excellent Talents in University [NCET-13-0878]
- Program for Scientific research innovation team in Colleges and universities of Shandong Province
- Australian Research Council
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In this paper, the problem of finite-time H control is addressed for a class of discrete-time switched nonlinear systems with time delay. The concept of H finite-time boundedness is first introduced for discrete-time switched delay systems. Next, a set of switching signals are designed by using the average dwell time approach, under which some delay-dependent sufficient conditions are derived to guarantee the H finite-time boundedness of the closed-loop system. Then, a finite-time H state feedback controller is also designed by solving such conditions. Furthermore, the problem of uniform finite-time H stabilization is also resolved. All the conditions are cast into linear matrix inequalities, which can be easily checked by using recently developed algorithms for solving linear matrix inequalities. A numerical example and a water-quality control system are provided to demonstrate the effectiveness of the main results. Copyright (c) 2013 John Wiley & Sons, Ltd.
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