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对于一类工作点可变的线性系统 ,即被控系统表达为两个典型工作点上的传递函数矩阵的正则稳定的既约分解的线性内插 ,考虑其镇定控制器设计问题 .假设被控对象在典型工作点上的传递函数矩阵的既约分解组成一个集合 ,提出了镇定该集合的控制器的设计方法 .对于线性内插系数不可知的情形 ,提出了两种固定型镇定控制器的设计方法 ;对于线性内插系数可知的情形 ,提出了一种内插型镇定控制器设计方法 .文中将控制器的设计问题转化为 H∞ 控制问题 ,再转化为状态空间下的基于线性矩阵不等式 ( LMI)的凸有效性问题进行求解
For a class of linear system with variable operating point, that is, the controlled system expresses a regular stable and approximately decomposable linear interpolation of transfer function matrices on two typical working points, and consider its stabilization controller design problem. The approximate decomposition of the transfer function matrix of the object at a typical working point forms a set, and the design method of the controller to stabilize the set is proposed. For the case of the linear interpolation coefficient agnosticity, two fixed-type stabilization controllers Design method of linear interpolation coefficient is proposed.In this paper, a design method of interpolation-type stabilization controller is proposed.In this paper, the controller design problem is transformed into H∞ control problem, and then transformed into the linear matrix inequality (LMI) to solve the convex validity problem