Non-fragile Control Of The Generalized Delta Computing Subsystem

Singular system is a kind of more general dynamic system than normal system.Since it was proposed in the control field, because it is able to describe more general and complex practical systems, singular system possess more distinct theoretical connotation and wider application foreground than normal system. It can avoid the shortcoming of traditional discretization method by using delta operator method. Mathematical mode must be exact in the process of parameters realization of traditional robust controller.But,in fact, parameters of controller are uncertain under the influence of many factors. So, the uncertainties of controller must be considered to design the non-fragile control that guarantee high performance and stable operation of the system.This dissertation investigates the problem of non-fragile control for singular delta operator systems, including non-fragile admissible control and non-fragile H? control.And the controller gain matrix contains two classes of gain perturbations, namely,additive perturbation and multiplicative perturbation. By means of linear matrix inequality(LMI), necessary and sufficient conditions are given for the existence of suitable non-fragile controllers under the above two classes of gain perturbations,respectively. Meanwhile, the design methods of the corresponding controllers are also obtained in terms of the solutions to LMIs to make the closed loop systems are generalized quadratical admissible and satisfy corresponding conditions. Finally,numerical examples are provided to demonstrate the practicability and validity of the theoretical results.