L∞ Static Output Feedback Control of T-S Fuzzy Systems with Time-varying State Delay
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摘要: 针对一类具有状态变时滞的 T-S 模糊非线性系统, 通过定义一类时滞相关 Lyapunov 函数, 引入基于 L∞ 范数理论的鲁棒性能指标, 并利用线性矩阵不等式(LMI), 给出了模糊鲁棒输出反馈控制器的设计方法和存在的充分条件, 保证整个闭环系统的渐近稳定性. 最后, 倒车控制系统的仿真表明了本方法的有效性.
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关键词:
- T-S模糊系统 /
- 变时滞 /
- 输出反馈 /
- 鲁棒控制 /
- 线性矩阵不等式(LMI)
Abstract: By defining a delay-dependent Lyapunov function and introducing a robust performance based on the theory of L∞-norm, the synthetical design procedures for a class of T-S fuzzy nonlinear systems with time-varying state delay were given and some sufficient conditions for the existence of the robust output feedback controllers were derived in terms of the LMIs, so that the closed-loop system was asymptotically stable. Simulation results of the control of a truck-trailer system show theeffectiveness of the proposed method.
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