线性控制系统闭环稳定的结构稳定性
The Structural Stability on the Closed Loop Stability of Linear Control System
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摘要: 设反馈控制系统为 y(s)=G(s,θ)u(s)(1) u(s)=-K(s)y(s)+v(s). (2) 本文的主要结果如下: 当G(s,θ)在θ=θ0处零实部不升阶时,存在反馈控制(2),使得闭环稳定θ=θ.处 是结构稳定的一个充分必要条件为G(s,θ)在θ=θa处,正实部不是本质的升阶;当G(s,θ) 的零实部升阶时,这条件仅是必要的.Abstract: Consider the feedbacd control system y(s)=G(s,θ)(1) u(s)=-K(s)y(s)+v(s). (2) In this paper we obtained following result: When zero-real part of G(s,θ) at θ=θ0 is not ascending order the feedbacd control (2)exists such that closed loop stability is structurally stable at θ=θ0 if and only if positive real part G(s,θ) atθ=θ0 is not essential ascending order. When zero-real prat of G(s,θ) at θ=θ0 is ascending order this condition is only necessary.
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