A minimal-order observer-based guaranteed cost controller for uncertain time-varying delay systems

2011 ◽  
Vol 29 (1) ◽  
pp. 113-132 ◽  
Author(s):  
E. Susanto ◽  
M. Ishitobi ◽  
S. Kunimatsu ◽  
D. Matsunaga
Keyword(s):  
Delay Systems ◽  
Time Varying ◽  
Minimal Order ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Uncertain Time ◽  
Varying Delay

Guaranteed Cost Control of Saturated Time-Varying Delay Systems

2012 ◽  
Vol 235 ◽  
pp. 129-134
Author(s):  
Han Lin He ◽  
Xiao Dong Wang ◽  
Wei Jun Li
Keyword(s):  
Schur Complement ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Degree Function ◽  
Varying Delay

This paper mainly considers the control problem of saturated time-varying delay systems. Applying the saturation degree function and the convex hull theory to handle the saturated terms, we put forward the guaranteed cost controller of the system according to the Lyapunov-Krasovskii theorem. Then we make use of Schur complement to convert the QMI (quadratic matrix inequality) to a LMI (linear matrix inequality) and so it can be easily used as controller synthesis. Finally, we apply the guaranteed cost controller to a two dimentional time-varying delay cellular neural networks, and the simulation results show the effectiveness of the proposed controller.

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