一类确定性多变量非线性系统的自适应控制
Adaptive Control of A Class of Deterministic Nonlinear Multivariable Systems
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摘要: 本文研究了可用确定性多变量Hammerstein模型描述的一类多变量非线性系统的自适 应控制,基于对一步最优控制律所产生的闭环系统的稳定性条件的分析,提出了一种适用于线 性部分为具有任意关联矩阵的非最小相位系统的简单次优控制律及相应的直接自适应控制算 法,并证明了算法的全局收敛性.Abstract: This paper is concerned with adaptive control of a class of nonlinear systems which can be characterized by a deterministic multivariable H mmerstein model. Based on the analysis of the closed-loop system resulted from one-step-ahead optimal control, a simple suboptimal control law and its adaptation algorithm are proposed for the control of this class of systems whose linear part is not necessarily minimum phase and possesses an arbitrary interactor matrix. The global convergence of the proposed adaptation algorithm is also proved.
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Key words:
- Adaptive control /
- nonlinear systems /
- multivariable systems /
- stability /
- convergence
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