Resilient guaranteed cost control for a class of 2-D uncertain discrete systems
一类2-D不确定离散系统的弹性保成本控制

When there exist uncertainties in the mathematical model of a controlled system, robust controller is needed to stabilize the controlled system. But if controller itself has uncertainties too, the controlled system will become complicated and difficult to control, at the same time, desirable control target is hard to achieve by traditional robust control methods, even stability can not be guaranteed either. For these reasons, the study was conducted to provide convenient methods to design stable controllers for those systems which have uncertainties in their models and controllers. By describing uncertainties as additive and multiplicative perturbations respectively, two resilient guaranteed cost control problems were considered, and the design methods for corresponding controllers were given simultaneously. During the study, the main results were expressed as LMIs by employing various mathematical techniques, such as zooms of matrix inequalities, equivalent parameter transformations etc. Using LMI tool box of Matlab software, it is very easy to design the appropriate controllers. Finally, through employing one controller designed by results in this paper and the other one designed by existed methods on the same controlled system, it is found that the former could stabilize the system perfectly, but the latter fails, which proveed the effectiveness of the derived results.