Affiliations: [a] School of Information Science and Engineering, Northeastern University, Shenyang, China
| [b] Shenyang Academy of Instrumentation Science, Shenyang, China
Abstract: In this paper, a new method, namely, the dynamic delay partitioning method, is firstly developed to solve the problems of stability analysis and stabilization for a class of unknown nonlinear systems. To study the system stability and facilitate the design of fuzzy controller, Takagi-Sugeno (T-S) fuzzy models are employed to represent the system dynamics of the unknown nonlinear systems. Different from previous results, the delay interval [0, d (t)] is partitioned into some variable subintervals by employing dynamic delay partitioning method. Thus, new delay-dependent stability criteria for fuzzy time-delay systems is derived, which is less conservative than previous results. By the criteria, the approach to design a fuzzy controller is developed. Two examples are provided to demonstrate the effectiveness for conservatism reduction.
