不确定微机电谐振混沌系统的模糊自适应滑模控制

Fuzzy Adaptive Sliding Mode Control of Uncertain Micro-Electro-Mechanical Chaos System

摘要: 针对不确定混沌系统的控制问题，提出了一种模糊自适应滑模控制的方法。分析了微机电谐振系统的混沌动力学特性，给出了系统的混沌相图、时间历程图、庞加莱截面图和李雅普诺夫指数图。利用模糊逼近理论，对不确定的微机电谐振混沌系统进行模糊近似建模，在此基础上结合模糊与滑模控制，提出了一种模糊自适应滑模控制策略。自适应控制法能够在线估计系统中的参数，并结合模糊滑模控制快速将系统控制到目标轨迹。仿真结果验证了该策略的有效性和鲁棒性。

Abstract: For the control problem of uncertain chaotic system, fuzzy adaptive sliding mode controller is pre-sented. The chaos dynamic behavior of micro-electro-mechanical system is analyzed, the chaotic phase space, time state diagram, poincare diagram and lyapunov exponents diagram are given. modeling the uncertain micro-electro-mechanical chaos system with the fuzzy approximation theo-ry, combining with fuzzy control and sliding control based on it, fuzzy adaptive sliding mode control strategy is proposed. Adaptive controller can estimate the parameter of the system on line, and combine it with fuzzy sliding mode controller, the system is controlled to target orbit rapidly. The simulation results verify the effectiveness and robustness of the proposed controller.