离散时间低阶积分控制器考虑运算延迟的参数化形式

对于离散时间线性系统的输出反馈设计,我们考虑使用预测型降维观测器的积分控制器。在找到了一个二重互质分解的状态空间表达式后,通过使用YJB参数化方法,给出了所有稳定化控制器的一个方便的参数化形式。在这个参数化表达式中,关于稳态特性和运算延迟的要求被描述为对自由参数的约束。重新定义这个自由参数,我们可以获得一个改进的参数化形式,而其中的自由参数可以是一个任意真的和稳定的有理函数矩阵。

A Parametrization of Discrete-Time Low-Order Integral Controllers with Computation Delay

For the output feedback design of discrete-time linear system, we consider the integral controller using prediction type reduced-order observer. A state space representation of the doubly co-prime factorization is obtained, and then a converient parametrization of all stabilizing controllers is given by use of YJB parametrization method. In this parmetrization, the requirements on the steady state characteristics and the computation delay can be expressed by simple constraint on the free param-eter. Redefining free parameter, we can obtain a modified parametrization where the free parameter can be an arbitrary proper and stable rational matrix.