观测器型H_∞控制器设计的LMI方法

OBSERVER BASED H ∞ CONTROLLER DESIGN: AN LMI METHOD

观测器型控制器由于其结构简单和物理意义明确而受到广泛重视．在假定控制器为一般的动态补偿器情况下，利用ＬＭＩ技术解Ｈ∞控制器使得未知参数较多且求取过程复杂．现利用ＬＭＩ技术研究观测器型Ｈ∞控制器，则控制器参数可通过三个ＬＭＩ即可获得，这个ＬＭＩ组的适定性问题用现有的工具软件即可确定．

Observer based controller is widely accepted for its simple structure and explicit physical meaning. But the controller structure is often assumed as general compensator in the procedure of H ∞ controller synthesis by LMI technology. This has increased the number of unknown parameters and complicated the design procedure, moreover, the controller derived from this way is unclear in physical meaning. We investigate in this paper the LMI method to design H ∞ controller under the assumption of observer based type. The final result is that controller parameters can be derived from three LMI's and the feasibility problem can be determined by existing tool box.