scholarly journals Anti-windup controller design for singularly perturbed systems subject to actuator saturation

2016 ◽  
Vol 10 (4) ◽  
pp. 469-476 ◽  
Author(s):  
Chunyu Yang ◽  
Jing Sun ◽  
Lingli Zhang
Keyword(s):  
Controller Design ◽  
Actuator Saturation ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Perturbed Systems

scholarly journals Passive Control andε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Singular Perturbation ◽  
Passive Control ◽  
Controller Design ◽  
Design Method ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Storage Function ◽  
Rlc Circuit ◽  
Perturbed Systems

This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties. By a novel storage function depending on the singular perturbation parameterε, a new method is proposed to estimate theε-bound, such that the system is passive when the singular perturbation parameter is lower than theε-bound. Furthermore, a controller design method is proposed to achieve a predefinedε-bound. The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general. Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.

scholarly journals Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yanzi Miao ◽  
Lei Ma ◽  
Xiaoping Ma ◽  
Linna Zhou
Keyword(s):  
Disturbance Rejection ◽  
State Feedback ◽  
Actuator Saturation ◽  
Optimization Problems ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Convex Optimization Problems ◽  
Perturbed Systems ◽  
Disturbance Tolerance

We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation andL2disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence ofL2disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.

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