现代控制理论的MATLAB实现

现代控制理论是对系统的状态进行分析和综合的理论,是自动控制理论的一个主要组成部分。现代控制理论的最基本的分析方法是时域法,是建立在状态空间的基础上,不用传递函数,而是利用状态矢量方程的特点对复杂系统进行系统建模,并进一步通过状态方程求解分析,研究系统的能控性、能观性及其稳定性,分析系统的实现问题。研究MATLAB在状态空间分析法、状态方程求解的方法,简化计算,由此提出借助于MATLAB软件来实现对系统的分析的设想,并进行论证,来实现对现代控制理论系统的分析,如对系统稳定性以及系统能控性、能观性的分析。

MATLAB Application of Modern Control Theory

Modem control theory, analysis and synthesis of theory, the state of the system is a major component of the automatic control theory. The most basic analytical methods of modem control theory is a time domain method, is built on the basis of the state space, without the transfer function, but the characteristics of the state vector equation system modeling of complex systems, and further solve the equation of state analysis to study the system controllability, observability and its stability analysis system problems. In this paper, MATLAB analysis in the state space, solve the equation of state, simplify the calculation, which put forward the idea of the help of MATLAB software analysis system, and to demonstrate to the modem control theory, system analysis, such as system stability and controllability, observability analysis.