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| DOI：10.1007/s11768-010-8082-6 |
| Received:May 06, 2008Revised:October 28, 2008 |
| 基金项目:The National Natural Science Foundation of China |
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| Nonfragile guaranteed cost control for Delta operator-formulated uncertain time-delay systems |
| Ruiquan LIN,Silian CHEN,Xuwei DING |
| (College of Electrical Engineering and Automation, Fuzhou University) |
| Abstract: |
| With consideration that the controller parameters may vary from the designed value when the controller
is realized, based on Lyapunov stability theory, a design method of nonfragile guaranteed cost control for a class of Delta
operator-formulated uncertain time-delay systems is studied. A sufficient condition for the existence of the nonfragile
guaranteed cost controller is given. A numeric example is then given to illustrate the effectiveness and the feasibility of the
designed method. The results show that even if the parameters of the designed controller are of variations, the closed-loop
system is still asymptotically stable and the super value of the cost function can also be obtained, while the closed-loop
system will be unstable if the variations of the controller parameters are not considered when the controller is designed. The
nonfragile guaranteed cost controller derived from the traditional shift operator method may cause the closed-loop system
to be unstable, while the nonfragile guaranteed cost controller based on Delta operator method can avoid the unstable
problem of the closed-loop system. |
| Key words: Delta operator time-delay system non-fragile control guaranteed cost control LMI |
