Practical stabilization of delta operator systems subject to actuator saturation and disturbances

2017 ◽  
Vol 354 (5) ◽  
pp. 2199-2225 ◽  
Author(s):  
Hongjiu Yang ◽  
Ce Yan ◽  
Yuanqing Xia ◽  
Jinhui Zhang
Keyword(s):  
Actuator Saturation ◽  
Delta Operator ◽  
Operator Systems ◽  
Practical Stabilization ◽  
Delta Operator Systems

Null controllable region of delta operator systems subject to actuator saturation

2016 ◽  
Vol 89 (7) ◽  
pp. 1509-1521
Author(s):  
Hongjiu Yang ◽  
Ce Yan ◽  
Yuanqing Xia ◽  
Jinhui Zhang
Keyword(s):  
Actuator Saturation ◽  
Delta Operator ◽  
Operator Systems ◽  
Delta Operator Systems

scholarly journals Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1084 ◽  
Author(s):  
Hafsaa Rachid ◽  
Ouarda Lamrabet ◽  
El Houssaine Tissir
Keyword(s):  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Domain Of Attraction ◽  
Original System ◽  
Linear Matrix ◽  
Delta Operator ◽  
Time Varying Delay ◽  
Operator Systems ◽  
Small Gain ◽  
Delta Operator Systems

The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov–Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.

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