摘要
利用遗传算法研究了一类切换规则只由状态决定的切换系统的控制器优化设计问题.首先由线性矩阵不等式(LMI)来设计切换控制器,然后应用遗传算法来对切换规则进行优化.优化后的切换规则不仅可保证闭环系统渐近稳定,而且具有良好的动态性能.将本文提出的方法应用在小车倒立摆控制系统上,仿真结果表明了本文设计方法的有效性.
This paper deals with the design and optimization of a kind of switching controller, whose switching law is determined by states. A switching controller was designed based on linear matrix inequalities ( LMIs), and the switching law was optimized by genetic algorithm. The proposed controller not only can stabilize the closed - loop system, but also give a promising dynamical performance. The proposed approach was applied to control an inverted pendulum, and the simulation result showed its availability.
出处
《动力学与控制学报》
2007年第1期58-61,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(60474034)~~
关键词
切换系统
遗传算法
优化设计
动态性能
倒立摆
switched system, genetic algorithm, optimization, dynamical performance, inverted pendulum