一类基于模糊逻辑系统的非线性不确定系统的自适应控制

利用模糊逻辑系统分析和研究了一类非线性不确定系统的自适应控制问题。控制器和自适应律的构成直接利用了系统的数学结构信息和模糊逻辑系统的对不确定性的输出信息，在较弱的假设条件下，这种控制器使被控系统的状态及参数估计误差一致终极有界。最后对水箱组合系统的仿真实例说明了本所采用的方法是比较有效的。

Adaptive Control for a Class of Nonlinear Uncertain Systems Based on Fuzzy Logic Systems

Refs. 2 through 5 all dealt with fuzzy control but they all require that the bounded functions of uncertainties be known. Employing a fuzzy logic system that can approximate any continuous function with arbitrary exactness, we synthesize the adaptive laws and controller for a class of nonlinear system with uncertainties, whose bounded functions are unknown. Section 2 describes the main results of our research. We find that the architecture of adaptive laws and controller depends directly on the structure information of the system to be controlled and on the output of fuzzy logic system. Section 2 concludes that, under some simple conditions, the adaptive laws and controller that we propose can ensure two groups to be uniformly ultimately bounded (UUB):(1) the states of the system to be controlled and (2) parameter estimate errors. Section 3 takes as example a system composed of two water tanks as shown in Fig. 1. Simulation results, given in Figs. 3 through 5, show preliminarily the validity of our method.