A Delay Decomposition Approach to Delay-Dependent Robust Passive Control for Takagi-Sugeno Fuzzy Nonlinear Systems

作者：Balasubramaniam P^*; Nagamani G

来源：Circuits, Systems, and Signal Processing, 2012, 31(4): 1319-1341.

DOI：10.1007/s00034-011-9384-8

• Linear matrix inequalities (LMIs)
• Lyapunov-Krasovskii functional
• Nonlinear systems
• Passive control
• Time-varying delays

This paper is concerned with the problem of delay-dependent robust passive control for a fuzzy nonlinear system with time-varying delays. A Takagi-Sugeno fuzzy model approach is exploited to design a passive control for nonlinear systems with time-varying delay. By decomposing the delay interval into multiple equidistant subintervals, new Lyapunov-Krasovskii functionals (LKFs) are constructed on these intervals. Employing these new LKFs, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of the time delay. We also design a state feedback controller that guarantees a robustly strictly passive closed-loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques.

• 出版日期2012-8