多变量控制系统的行化梯典范形与最小阶Kx-观测器的线性设计方法
Simplified Row Trapezoid Canonical form of Linear Multivariable Systems and Linear Design Method for Minimal Order Kx-Observer
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摘要: 本文提出了定基形矩阵的概念及多变量系统的行简化梯形典范形理论.该典范形与系统 的可观测性矩阵或可控性矩阵之间可用子块集建立计算关系式.应用该理论可以把最小阶 Kx-观测器设计中的一组非线性代数方程组化为一类可解的线性代数方程组(附录中介绍了这 一分析过程).由此得到一种新的最小阶Kx-观测器线性设计法.该算法较Roman-Bullock设 计法计算简单,计算误差小,且更便于用计算机设计.文中还用例题指出Sirisena设计法的缺 点.Abstract: In this paper a Simplified Row Trapezoid Canonical Form (SRTCF) for Linear multivariable systems is introduced. Between the SRTCF and the observability matrix or controllability matrix of a system, a set of computational expressions for their submatrices exists, which may be useful in system synthesis problems, such as the minimal order Kx-observer design problem, On this basis, new linear design method for minimal order Kx-observers is given.
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