多时滞非线性系统的鲁棒非脆弱H_∞控制  

Robust non-fragile H_∞ control for non-linear systems with multi-time delay

作　　者：付兴建[1] 刘小河[1] 管萍[1] 厉虹[1] 

机构地区：[1]北京信息科技大学自动化学院,北京100192

出　　处：《华中科技大学学报（自然科学版）》2011年第4期69-72,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11072038);北京市自然科学基金资助项目(4082010)

摘　　要：针对一类不确定多时变时滞非线性系统,探讨了鲁棒非脆弱H∞控制器的设计问题.假定其中的不确定性是范数有界的,并且系统的状态是完全可测的,利用李亚普诺夫稳定性方法,以线性矩阵不等式的形式,给出了使该不确定多时变时滞非线性闭环系统渐近稳定及非脆弱鲁棒H∞状态反馈控制器存在的充分条件.通过求解相应的线性矩阵不等式就可得到系统的非脆弱鲁棒H∞控制器,同时也能保证从扰动到受控输出之间传递函数的H∞范数不大于给定的指标值.数值算例验证了所给方法的有效可行性.The robust H∞ non-fragile controller design for uncertain non-linear systems with multi-time delay was considered based on the proper Lyapunov functions and linear matrix inequality, under the assumption that the uncertainty is norm-bounded and the states of the non-linear system are available. An approach to design a state feedback H∞ controllers for all admissible uncertainties was proposed, which makes the closed-loop non-linear systems asymptotically stable, as well as satisfying H∞ control properties achieve disturbance attenuation. The robust non-fragile H∞ controller can be obtained by solving the corresponding linear matrix inequality. Finally, a numerical example was presented to illustrate the validity and feasibility of this approach.

关 键 词：非线性系统 非脆弱 鲁棒控制 不确定性 时滞 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]