输入受限的参数摄动分段仿射系统鲁棒控制  

Robust Control of Piecewise Affine System with Constrained Input and Parameter Perturbation

作　　者：刘志林[1] 裴润[1] 慕香永[1] 刘志远[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001

出　　处：《系统仿真学报》2007年第22期5234-5237,5242,共5页Journal of System Simulation

基　　金：国家自然科学基金(60374027)

摘　　要：研究了一类有输入约束和参数摄动的离散分段仿射系统的稳定性及其控制器的设计方法。提出了各分段仿射子系统离散时间状态集的椭圆集表示方法,结合Lyapunov意义的稳定约束,以LMIs形式给出了闭环分段仿射系统的鲁棒稳定充分条件和控制器的设计方法。同时将常见的输入约束转换成LMIs,通过LMIs的凸约束保证了求解控制器的可行性。最后通过仿真实例验证了所提方法的有效性。A discrete-time piecewise affine （PWA） system with constrained control input and parameter perturbation was studied, The PWA systems was described as ellipsoid which could be characterized by a set of vector inequalities, thereby the constraint of linear matrix inequalities （LMIs） was released, In terms of LMIs, the perturbed impulsive PWA system with constrained control input could be robust stabilized in Lyapunov theory. A convex optimization problem with LMIs constraints was formulated to design the controller. The simulation results verify the effectiveness of the proposed method.

关 键 词：参数摄动 分段仿射系统 椭圆集 LMI 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]