Output-based disturbance rejection control for 1-D anti-stable Schrödinger equation with boundary input matched unknown disturbance

2017 ◽  
Vol 27 (18) ◽  
pp. 4686-4705 ◽  
Author(s):  
Huacheng Zhou
Keyword(s):  
Schrödinger Equation ◽  
Disturbance Rejection ◽  
Schrodinger Equation ◽  
Disturbance Rejection Control ◽  
Unknown Disturbance ◽  
Boundary Input

Stabilization for Schrödinger equation with a time delay in the boundary input

2015 ◽  
Vol 95 (5) ◽  
pp. 963-977 ◽  
Author(s):  
Hao-Yue Cui ◽  
Zhong-Jie Han ◽  
Gen-Qi Xu
Keyword(s):  
Time Delay ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Boundary Input

scholarly journals Robust Output Feedback Disturbance Rejection Control by Simultaneously Estimating State and Disturbance

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Jeang-Lin Chang
Keyword(s):  
Disturbance Rejection ◽  
Sliding Mode ◽  
Estimation Error ◽  
Original System ◽  
Small Region ◽  
The State ◽  
Descriptor System ◽  
Simultaneous Estimation ◽  
Disturbance Rejection Control ◽  
Unknown Disturbance

This paper tackles the problem of simultaneous estimation of the state and the unknown disturbance of an MIMO disturbed system and designs the disturbance rejection controller according to the estimation information. Through a series of transformations, we can transform the original system into two subsystems and then propose a sliding mode observer and a descriptor system form observer, respectively. Our algorithm can simultaneously estimate the state and the unknown disturbance. The estimation error is shown to be bounded within a small region. Moreover, the controller algorithm developed in this paper can effectively avoid the peaking phenomenon. Finally, the feasibility and the performance using the proposed method are analyzed and demonstrated with two simulated examples.

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