不确定非线性时变时滞系统的可靠H_∞控制  

Reliable H_∞ control for uncertain nonlinear with time-varying delay system

作　　者：李萍[1] 于永新[1] 程月[1] 李洪海[2] 

机构地区：[1]辽宁科技大学理学院,辽宁鞍山114051 [2]鞍山市产品质量监督检验所,辽宁鞍山114006

出　　处：《鞍山科技大学学报》2007年第1期28-33,36,共7页Journal of Anshan University of Science and Technology

摘　　要：研究了不确定非线性时变时滞系统的可靠H∞控制问题。系统考虑了状态滞后、参数的不确定性、非线性及外部扰动。参数不确定性满足匹配条件,同时非线性满足有界条件。目的是设计一个状态反馈控制器,对于所有可允许的不确定性,使得当部分执行器失效时,系统仍能保持渐近稳定。基于Lyapunov泛函方法,通过求解一个线性矩阵不等式就可得到可靠H∞状态反馈控制器。用数值算例及仿真结果验证了所给方法的有效性。The problem of reliable H∞control for uncertain nonlinear with time-varying delay system was studied. The system considered state time-delay, parameter uncertainties, nonlinearities and external disturbances. The uncertainties are assumed to .satisfy the match condition, and the nonlinearities are assumed to satisfy the frontier condition. The purtpose is to design the state feedback controller for all admissible uncertainties, if part actuator failures occurs, the system still can keep exponentially stable. Based on Lyapunov method,the controller can be obtained by .relying the LMI The example and simulation result verifies the validity of this approach.

关 键 词：不确定性 非线性 时变时滞系统 可靠控制 线性矩阵不等式 

分 类 号：TP271.72[自动化与计算机技术—检测技术与自动化装置]