scholarly journals Design of Robust Output Feedback Guaranteed Cost Control for a Class of Nonlinear Discrete-Time Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yan Zhang ◽  
Yali Dong ◽  
Tianrui Li
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Cost Control ◽  
Sufficient Conditions ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Output Measurement ◽  
Discrete Time Systems ◽  
Guaranteed Cost ◽  
Time Systems

This paper investigates static output feedback guaranteed cost control for a class of nonlinear discrete-time systems where the delay in state vector is inconsistent with the delay in nonlinear perturbations. Based on the output measurement, the controller is designed to ensure the robust exponentially stability of the closed-loop system and guarantee the performance of system to achieve an adequate level. By using the Lyapunov-Krasovskii functional method, some sufficient conditions for the existence of robust output feedback guaranteed cost controller are established in terms of linear matrix inequality. A numerical example is provided to show the effectiveness of the results obtained.

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