Bilinear matrix inequality approaches to robust guaranteed cost control for uncertain discrete-time delay system
Article first published online: 2 APR 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Optimal Control Applications and Methods
How to Cite
Nian, X., Sun, Z., Wang, H., Zhang, H. and Wang, X. (2012), Bilinear matrix inequality approaches to robust guaranteed cost control for uncertain discrete-time delay system. Optim. Control Appl. Meth.. doi: 10.1002/oca.2029
- Article first published online: 2 APR 2012
- Manuscript Accepted: 2 MAR 2012
- Manuscript Revised: 24 FEB 2012
- Manuscript Received: 21 NOV 2011
- National Natural Science Foundation of P. R. China. Grant Numbers: 60774045, 61075065, 60604005, U1134108
- bilinear matrix inequality;
- state feedback;
- output feedback
The robust guaranteed cost control problem for uncertain discrete-time delay system is considered in this paper. Sufficient conditions for the existence of the robust guaranteed cost controllers via memoryless state feedback and static output feedback are expressed as bilinear matrix inequality (BMI). Furthermore, the design methods of optimal robust guaranteed cost controllers, which minimize the upper bound of a given quadratic cost function are presented. Alternate iterative algorithms are proposed to solve the nonconvex optimization problems with BMI constrains. A numerical example is given to illustrate the effectiveness of the proposed methods.Copyright © 2012 John Wiley & Sons, Ltd.