Guaranteed Cost Control of State-Delay System Based on the Equivalent-Input-Disturbance Approach
Fang Gao*, Min Wu **, †, Jinhua She**,***, and Pan Yu*
*School of Information Science and Engineering, Central South University
Changsha 410083, China
**School of Automation, China University of Geosciences
Wuhan 430074, China
***School of Engineering, Tokyo University of Technology
Hachioji 192-0987, Japan
This paper considers a guaranteed cost control problem for state-delay systems with exogenous disturbances for a proper plant. The equivalent-input-disturbance (EID) approach is extended to be able to handle a state-delay system. A new control law is constructed that incorporates an EID estimate in order to ensure a satisfactory control performance. A stability condition for the closed-loop system is provided in terms of a linear matrix inequality, using the Lyapunov function method. Furthermore, a guaranteed cost control state feedback control law and a state observer are designed, based on the linear matrix inequality (LMI). Two numerical examples are provided to demonstrate the validity of the method.
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