具有凸多面体不确定参数Delta算子时滞系统的可靠保性能控制  

Reliable Guaranteed Cost Control for Delta Operator Systems with Time-delay and Parameter Uncertainties of Convex Polyhedron

作　　者：王佑恩[1] 

机构地区：[1]三明学院信息工程学院,福建三明365004

出　　处：《三明学院学报》2013年第6期9-16,共8页Journal of Sanming University

基　　金：三明学院科研基金项目(B201206/Q)

摘　　要：研究Delta算子描述的线性不确定时滞系统的可靠保性能控制问题。考虑系统含有具有凸多面体不确定性参数和连续模型执行器故障,根据Lyapunov稳定性理论,给出对于所有允许的不确定性和执行器故障,均使闭环系统渐近稳定且给定性能指标具有一定上界的状态反馈控制器的存在条件,由此提出相应控制器的设计方法。通过数值算例验证了设计方法的可行性。The problem of reliable guaranteed cost control for a class of delta operator formulated systems with time-delay and parameter uncertainties is studied in this paper. Convex polyhedron uncertainties and actuator failures with continuous model are considered. Based on Lyapunov theory in delta domain, a sufficient condition of existence of the con- trollers is presented in terms of linear matrix inequalities, which makes the close-loop systems robust asymptotically stable and the value of cost function less than a certain upper bound for all admissible uncertainties and actuator failures. And then a design method of the controllers is proposed. A numerical example is given to illustrate the availability and effectiveness of the method.

关 键 词：DELTA算子 可靠控制 执行器故障 时滞系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]