广义离散系统的状态反馈鲁棒H_∞控制及仿真  

State Feedback Robust H-infinity Control for Discrete-time Singular Systems and Its Simulation

作　　者：方晨 

机构地区：[1]秦皇岛市中等专业学校,河北秦皇岛066000

出　　处：《计算机仿真》2007年第9期301-303,311,共4页Computer Simulation

摘　　要：针对一类范数有界参数不确定性的广义离散线性系统,研究了该系统的状态反馈鲁棒H∞控制问题。利用线性矩阵不等式(LMI)的方法,得到了问题可解的条件,并给出了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∞控制律使广义离散线性系统对所有容许的不确定性参数,能够保证闭环系统正则、具有因果关系并且渐进稳定,同时其传递函数矩阵能够满足给定的H∞性能指标。正常离散线性系统的相对应结果可作为论文结果的特殊形式。仿真例子验证了该方法的正确性。For a class of uncertain singular discrete - time linear systems with norm - bounded parameter uncertainties, the state feedback robust H - infinity control is studied. A sufficient condition for the solvability of the problem and the state feedback robust H - infinity feekback controller were obtained in terms of linear matrix inqualities. The designed controller guaranteed that the closed - loop systems was regular, causal, stable and satisfy a prescribed H - infinity norm bounded constraint for all admissible uncertain parameters under some conditions. The result of the normal discrete - time systems can be regarded as a particular form of this articale＇s conclusion. A simulation example was given to demonstrate the effectiveness of the proposed method.

关 键 词：广义离散系统 状态反馈 鲁棒控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]