离散时滞区间广义线性系统的输出反馈H_∞控制器设计

Output Feedback H-infinity Controller Design for Discrete-time Time-delay Interval Singular Linear Systems

在确定系统中某些系数矩阵均存在不确定性情况下,利用区间矩阵研究了一类离散时滞广义不确定线性系统的输出反馈鲁棒H∞控制器设计问题。通过运用系统参数不等式方法给出离散时滞区间广义系统的等价描述,利用等价描述系统得到了该系统的输出反馈控制器。所设计的控制器不仅使得闭环系统是正则的、稳定的,而且使得传递函数的范数界在给定的范围内。算例验证了该设计方法的有效性。

In the case that uncertainties exist in some parameter matrices, the problem of output feedback H∞controller design for a kind of discrete-time time-delay singular uncer- tainty linear systems is discussed through the use of interval matrix. Firstly, a class of equiv- alent decription of the discrete-time time-delay interval singular linear systems is given through the application of system parameters inequality approch. Then output feedback ro- bust H~ controller is obtained in terms of the equivalent description systems. The designed controller guarantees that the closed-loop systems is regular and stable as well as satisfies a prescribed transfer function of the norm bounded constraint within the given range. Finally, a numerical example shows the effectiveness of the design method.