摘要
研究切换系统鲁棒非脆弱保性能H∞控制器设计与切换问题。针对一类非线性切换系统,为了克服控制器增益摄动与外部扰动对系统的不良影响,使系统具有抗干扰性,首先假设系统存在外部扰动,并且系统矩阵带有范数有界不确定性;然后当控制器存在加性摄动和乘性摄动并且每个子系统均不能镇定时,利用线性矩阵不等式技术、凸组合技术和李亚普诺夫函数法分别设计了鲁棒非脆弱保性能次优H∞控制器和切换策略,使得切换系统能二次稳定并且满足成本函数性能上界和H∞性能指标;最后,通过凸优化问题得到了鲁棒非脆弱保性能最优H∞控制器。仿真结果表明,设计的控制器对系统的参数不确定性和外部扰动具有鲁棒性和抑制力。
Robust non -fragile guaranteed cost H∞ controller and switching law for switched systems were investi- gated. For a class of nonlinear switched systems, in order to overcome the passive effect of perturbation of controller gain and external disturbance for systems, and make systems anti -jamming, it is assumed that the systems contain external disturbance and systems matrices contain norm - bounded parameter uncertainties. Next, when the controler gain is assumed to have additive and muhiplicative gain perturbation, each subsystem can not be stabilized, linear matrix inequality （LMI） technique. Convex combination technique and Laypunov function method were adopted to design robust non - fragile guaranteed cost suboptimal H∞ controller, and a switching law was used to guarantee the systems quadratically stability, upper bound of the guaranteed cost function and H∞ performance. Finally, a convex optimization was used to acquire robust non - fragile guaranteed cost optimal H∞ controller. Simulation results show that the controllers are robust to parameter uncertainties and can suppress disturbances.
出处
《计算机仿真》
CSCD
北大核心
2013年第10期427-432,共6页
Computer Simulation
关键词
切换系统
非脆弱
凸组合
保成本控制
H∞控制
Switched systems
Non - fragile
Convex combination
Guaranteed cost control
H ∞ control
