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首页> 美国政府科技报告 >4(n+1)-Dimensional Model Reference Adaptive Control for the Stabilization of any Strictly Proper Minimum Phase Linear Systems with Relative Degree Not Exceeding Two and Dimension Not Exceeding n
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4(n+1)-Dimensional Model Reference Adaptive Control for the Stabilization of any Strictly Proper Minimum Phase Linear Systems with Relative Degree Not Exceeding Two and Dimension Not Exceeding n

机译：4（n + 1）维模型参考自适应控制，用于稳定任意严格适当的最小相位线性系统，相对度不超过2且不超过n

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摘要

In a recent paper it was shown that there are smooth, nonlinear, three-dimensional controllers, not incorporating probing signals, which are capable of adaptively stabilizing any single-input, single-output, minimum phase, relative degree two or less linear system of any dimension. Controllers of this type are based on minimal dynamic compensator synthesis. While such controllers are simple in structure they do not have a model-following capability. In this paper we develop a new algorithm based on observer theory, which can adaptively stabilize and achieve model-following as well. The controller, which is a smooth nonlinear dynamical system of dimension 4(n+1), can adaptively stabilize any physical process with scalar input u and scalar output y, provided the process can be modelled by a strictly-proper, minimum phase, linear system of dimension not exceeding n and relative degree not exceeding two.

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