A BMI approach to guaranteed cost control of discrete-time uncertain system with both state and input delays

作者：Zhou, Xiaojun^*; Dong, Tianxue; Tang, Xiaolin; Yang, Chunhua; Gui, Weihua

来源：Optimal Control Applications and Methods, 2015, 36(6): 844-852.

DOI：10.1002/oca.2138

• guaranteed cost control
• uncertain system
• state and input delays
• bilinear matrix inequality
• PENLAB

In this study, the guaranteed cost control of discrete time uncertain system with both state and input delays is considered. Sufficient conditions for the existence of a memoryless state feedback guaranteed cost control law are given in the bilinear matrix inequality form, which needs much less auxiliary matrix variables and storage space. Furthermore, the design of guaranteed cost controller is reformulated as an optimization problem with a linear objective function, bilinear, and linear matrix inequalities constraints. A nonlinear semi-definite optimization solver-PENLAB is used as a solution technique. A numerical example is given to demonstrate the effectiveness of the proposed method.

• 出版日期2015-12
• 单位中南大学