不确定离散奇异系统的鲁棒H_∞控制及仿真  

Robust H_∞ Control of Discrete-Time Singular Systems and Simulation

作　　者：方晨[1] 

机构地区：[1]秦皇岛职业技术学院,河北秦皇岛066100

出　　处：《计算机仿真》2011年第3期231-233,258,共4页Computer Simulation

摘　　要：针对一类具有时不变且模有界参数不确定性的离散奇异系统,为了提高控制系统的稳定性,解决了系统的状态反馈鲁棒H∞控制的难点问题。提出采用线性矩阵不等式(LMI)的方法,可得到问题求解的条件,并给出相应的状态反馈控制律。在一定条件下,所得的状态反馈鲁棒H∞控制律不仅使离散奇异系统对所有容许的不确定性参数,能够保证闭环系统正则,形成因果关系并且渐进稳定,而且同时其传递函数矩阵能够满足给定的H∞性能指标。定理深化与丰富了鲁棒H∞控制理论。仿真验证了方法的正确性。For a class of uncertain singular discrete-time linear systems with time-invariant norm-bounded parameter uncertainties,the problem of state feedback robust H-infinity control is resolved.A sufficient condition for the solvability of the problem and the state feedback robust H-infinity feedback controller were obtained in terms of liner matrix inequalities.The designed controller not only guaranteed that the closed-loop systems was regular,causal relationship and stable but also satisfied a prescribed H-infinity norm bounded constraint for all admissible uncertain parameters under some conditions.The result deepens and enriches the content of robust H∞ control theory.An simulation example was given to demonstrate the effectiveness of the proposed method.

关 键 词：离散奇异系统 鲁棒控制 仿真 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]