广义离散系统的状态反馈鲁棒H∞控制及仿真

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.

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

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.