非线性切换系统鲁棒非脆弱控制器设计与仿真  

Design and Simulation of Robust Non-Fragil Controller for Uncertain Nonlinear Switched Systems

作　　者：卢军锋[1] 吴钟鸣[1] 向峥嵘[2] 

机构地区：[1]金陵科技学院机电工程学院,南京211169 [2]南京理工大学自动化学院,南京210094

出　　处：《计算机测量与控制》2013年第9期2464-2467,2476,共5页Computer Measurement &Control

基　　金：国家自然科学基金资助(60974027);南京市科技局科技发展项目(2011ZD008);金陵科技学院科研基金(jit-n-2009012;jit-n-201105)

摘　　要：针对外部扰动与控制器增益摄动对切换系统不良影响的问题,研究了一类不确定非线性切换系统的鲁棒非脆弱H∞保性能控制问题;假设系统存在外部扰动和参数不确定性;提出利用公共李亚普诺夫函数法和线性矩阵不等式技术,给出当控制器存在加性摄动与乘性摄动时,鲁棒非脆弱H∞保性能控制器存在的充分条件,设计的控制器保证切换系统在任意切换规则下能全局二次稳定并且满足H∞性能指标和成本函数性能上界;最后,通过建立和求解凸优化问题得到鲁棒非脆弱H∞最优保性能控制器存在的充分条件。仿真结果表明了控制器的有效性。Aimed at the passive effect of external disturbance and perturbation of controller gain for switched systems, robust non--fragile H∞ guaranteed cost control for uncertain nonlinear switched systems is discussed. Firstly, it is assumed that the systems contain external disturbance and parameter uncertainties. Based on the common Laypunov function method and linear matrix inequality technique, sufficient conditions for the existence robust non--fragile H∞ guaranteed cost controller are derived, when the controller gain is assumed to have additive and multiplicative gain perturbation. The controllers that designed guarantee the systems globally quadratically stability, H∞ performance and upper bound of the guaranteed cost function for all arbitrary switching law. Finally, a convex optimization problem is formulated and sufficient conditions of robust non--fragile H∞ optimal guaranteed cost controller are obtained. Simulation results illustrate the effectiveness of controllers.

关 键 词：非线性切换系统 非脆弱 保性能控制 H∞控制 公共李雅普诺夫函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]