线性采样系统二次型最优控制器的MATLAB实现

当被控对象具有较大滞后特性时通常运用采样控制方式进行控制，而线性二次型最优控制又以其综合性、灵活性和实用性受到重视和发展。MATLAB软件的Simulink模块可以快速方便地对控制系统进行建模和仿真。文中通过实例给出了完整的线性采样系统二次型最优控制器的设计过程，简述了连续系统离散化以及线性二次型最优控制器的基本原理、设计方法，并提出了一个Simulink环境下的仿真模型，通过得到的闭环系统的阶跃响应分析了参数变化对最优控制系统的影响。整个设计表明了运用Smulink对采样系统进行设计和分析是完全可行的。

Applying MATLAB to Design of Linear Quadratic Optimal Controller of Sampling Systems

Sampled-data systems are usually applied to control a plant with characteristics such as large lag,while linear quadratic optimal controller is studied and developed because of its integration, flexibility and practicability. Control system can often be modele and simulated with one toolbox of MATLAB called Simulink. The whole design process for linear quadratic optimal controller is discussed in this paper. The basis principle and design ways of the controller as well as how to disperse linear system are outlined. A simulated model is preseated in Simulink, and the influence on optimal control system which is caused by the change of parameters is illustrated by analyzing the step response of this closed - loop system. The whole design shows applying Simulink to design and analysis of sampled - data systems is feasible.