基于观测器的模糊Delta算子系统的控制器设计

对于非线性模糊系统控制器和观测器的分析和设计,提出一种统一方法。利用Delta域离散T—S模糊模型对非线性系统建模,并基于李雅普诺夫稳定性理论给出模糊状态反馈控制器和观测器的设计策略,将所得结果归结为求解一组线性矩阵不等式。同时结论表明:分离性原理对Delta算子T—S模糊系统仍然成立。所得结果可将现有关于连续和离散T—S模糊系统的相关结论统一于Delta算子框架内。

Observer-based Output Feedback Controller Design for Delta-operator Formulated Fuzzy Systems

This paper is concerned with a unified methodology for the analysis and design of the fuzzy(controller) and the fuzzy observer for nonlinear system.The discrete-time Takagi-Sugeno(TS) fuzzy model in delta-operator form is adopted for fuzzy modeling of the nonlinear system.Based on Lyapunov stable(theory,) new design techniques for state feedback and output feedback controllers are proposed.It is shown that the resulting closed-loop system is globally stable and the controller can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software.In other(words,) it is shown that the separation principle of the controller and observer design is still maintained for delta-(domain) TS fuzzy model.The proposed results can bring existing related results for discrete and continuous fuzzy control systems into the unified delta operator framework.