执行器饱和的线性连续系统的镇定  

Stabilization of Linear Continuous Control System with Actuator Saturation

作　　者：杜鸿波[1] 景丽[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《计算技术与自动化》2015年第1期16-19,共4页Computing Technology and Automation

基　　金：辽宁省自然科学基金项目(201202200)

摘　　要：针对控制系统中广泛存在饱和问题,主要研究执行器饱和线性连续系统的镇定问题并进行吸引域估计。首先根据Finsler’s引理和Lyapunov函数方法研究系统稳定的充分条件,得到执行器饱和控制系统稳定的新判据。其次,在稳定条件下,应用凸组合方法和新引入的自由权矩阵使得系统吸引域估计具有更小的保守性,将所得非线性矩阵不等式转化为线性矩阵不等式,给出求解最大吸引域的优化方法和状态反馈控制器的设计方案。最后通过仿真算例验证结果的有效性和可行性。Aiming at the saturation which plays important roles in the control theory,this paper studied the problem of stabilization of linear continuous time system with actuator saturation,and estimated the domain of attraction of the system.First,by using Finsler＇s lemma and Lyapunov equation method to study the stability condition of the system,we get the new criterion of the stability of the actuator saturation control system.In addition,under the condition of stability,by using convex combination method and the newly introduced liberty matrix,this paper reduced the conservatism of the estimation of domain of attraction.By converting the nonlinear matrix inequality to linear matrix inequality,the optimization method of the biggest domain of attraction and the design scheme of the state feedback controller were presented.Finally,the simulation example verifies the feasibility and effectiveness of the results.

关 键 词：连续系统 执行器饱和 吸引域估计 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]