Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 24, Issue 1, Pages 235-241Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2015.2450834
Keywords
Average dwell time (ADT); stabilization; switched nonlinear systems; Takagi-Sugeno (T-S) fuzzy modeling
Funding
- National Natural Science Foundation of China [61203123, 61573069, 61322301]
- Liaoning Excellent Talents in University [LR2014035]
- Liaoning Provincial Natural Science Foundation, China [2015020053]
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This paper is concerned with the control problem for a class of switched nonlinear systems possibly composed of all unstable modes by using time-controlled switching signals. To tackle the problem, a new mode-dependent average dwell time (MDADT) switching property is proposed, which is different from the existing one in the literature. Then, the stabilization condition under such MDADT switching signals is established for the switched nonlinear systems with possibly all unstable subsystems. By proposing a class of time-scheduled multiple quadratic Lyapunov function and applying T-S fuzzy models to represent the underlying nonlinear subsystems, numerically easily verified stabilization conditions are further derived in the form of linear matrix inequalities. A numerical example is finally provided to illustrate the effectiveness of the obtained theoretical results.
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