一类输入受限的多变量系统随机自适应控制

Stochastic Multivariable Adaptive Control for a Class of Input Constrained System

提出了一种输入同时受到幅值与速度约束的多变量随机自适应控制算法，该算法通过预选加权阵与在线修改相结合，可以抵消输入非线性特性，并有限度地防止控制进入非线性区间．这种新方法适用于具有任意交互矩阵的非最小相位的随机系统．本文给出了算法的全局收敛性分析和仿真实例．

A stochastic multivariable adaptive control algorithm with amplitude and rate both constrainedis proposed.This controller can offset to the nonlinear property of the input by means of choosing weightingmatrices,and prevent the control from entering the nonlinear zone partly.The new method may control thearbitary interacting matrices and nonminimum phase systems.Its stability and convergence are given.