摘要
讨论了一类Lipschitz非线性系统基于观测器的鲁棒镇定问题,所考虑的系统具有非线性时变扰动项,设计了状态观测器与状态反馈控制器使得其能够镇定一类Lipschitz非线性系统.利用Lyapunov稳定性理论和线性矩阵不等式(LMIs)方法,给出了该系统基于观测器的鲁棒镇定的充分条件,并通过求解LMIs构造了系统鲁棒稳定的基于观测状态反馈的控制器,所得结果减少了控制器设计的盲目性.最后,通过仿真实验证明了该方法的可行性.
The problem of observer-based robust stabilization for a class of Lipschitz nonlinear systems was studied.The purpose is to design a state observer and state feedback controller such that the closedloop system is asymptotically stable.By virtue of Lyapunov stability theory and LMIs,a sufficent condition for solving this problem is given;and the state feedback controller and observer is obtained by LMIs;and the research results reduce blindness in the controller design.Finally,a numerical example is given to illustrate our results.
出处
《三峡大学学报（自然科学版）》
CAS
2010年第5期82-85,共4页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金项目(60773190)
湖北省杰出青年团队项目(T200809)
湖北省教育厅重点项目(D20081306)
三峡大学研究生创新基金项目(200946)
