一类多变量非线性系统的自适应模糊控制

针对一类具有干扰和不确定性的多变量非线性系统, 提出了一种自适应模糊控制方法. 该多变量系统由 m 个互连子系统组成, 每个互连子系统中的未知函数是非仿射的. 由于不确定非仿射函数的存在和互连子系统之间的耦合, 这类系统是很难控制的. 通过利用均值定理、模糊系统、Backstepping 设计方法以及引入 Nussbaum 类型函数, 克服了这个困难. 另外, 与大多数研究结果相比较, 提出的方法减少了在线调节参数的数量. 提出的控制方法能实现闭环系统的所有信号是有界的. 仿真实验表明该控制方法的有效性.

Adaptive Fuzzy Control for a Class of Multivariable Nonlinear Systems

An adaptive fuzzy control approach is proposed for a class of multivariable nonlinear systems with dis- turbances and uncertainties.The multivariable systems are composed of m interconnected subsystems.The unknown functions in each interconnected subsystem are non-affine.It is difficult to control this class of systems due to the existence of the uncertain non-affine functions and the couplings among interconnected subsystems.This difficulty is overcome by using the mean value theorem,the fuzzy system,the backstepping design method and introducing Nussbaum-type func- tions.In addition,compared with most of the research results,the proposed approach reduces the quantity of the online adjusted parameters.The approach can achieve that all the signals of the closed-loop system are bounded.Simulation experiment demonstrates the effectiveness of the control approach.