Disturbance Tolerance and Rejection

Author(s):  
Yuanlong Li ◽  
Zongli Lin
2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Zhenhua Zhou ◽  
Mao Wang ◽  
Qitian Yin

This paper is concerned with the problem of designing robust H-infinity output feedback controller and resilient filtering for a class of discrete-time singular piecewise-affine systems with input saturation and state constraints. Based on a singular piecewise Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques, the H-infinity stabilization condition is established and the resilient H-infinity filtering error dynamic system is investigated, and, meanwhile, the domain of attraction is well estimated. Under energy bounded disturbance, the input saturation disturbance tolerance condition is proposed; then, the resilient H-infinity filter is designed in some restricted region. It is shown that the controller gains and filter design parameters can be obtained by solving a family of LMIs parameterized by one or two scalar variables. Meanwhile, by using the corresponding optimization methods, the domain of attraction and the disturbance tolerance level is maximized, and the H-infinity performanceγis minimized. Numerical examples are given to illustrate the effectiveness of the proposed design methods.


2011 ◽  
Vol 100 (1) ◽  
pp. 151-160 ◽  
Author(s):  
Ylva Lekberg ◽  
Tim Schnoor ◽  
Rasmus Kjøller ◽  
Sean M. Gibbons ◽  
Lars H. Hansen ◽  
...  

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yanzi Miao ◽  
Lei Ma ◽  
Xiaoping Ma ◽  
Linna Zhou

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.


1988 ◽  
Vol 11 (1) ◽  
pp. 119 ◽  
Author(s):  
Allan J. Mueller ◽  
Philip O. Glass

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