A parametric design method of observer‐based state feedback controller for quasi‐linear systems

This paper designs an observer‐based feedback controller for quasi‐linear systems when the entire state vector is unavailable for measurement. First, based on the solution of a type of generalised Sylvester equations, general complete parameterisation of the full‐order observer is proposed. Second,...

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Bibliographic Details
Published in:IET control theory & applications 2022-11, Vol.16 (16), p.1708-1717
Main Authors: Gu, Da‐Ke, Duan, Sheng, Liu, Yin‐Dong
Format: Article
Language:English
Subjects:
Closed loop systems
Control systems design
Design parameters
Design techniques
Feedback control
Linear systems
Parameterization
Research methodology
State feedback
State observers
State vectors
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Summary:This paper designs an observer‐based feedback controller for quasi‐linear systems when the entire state vector is unavailable for measurement. First, based on the solution of a type of generalised Sylvester equations, general complete parameterisation of the full‐order observer is proposed. Second, the traditional separation principle is applied to the quasi‐linear systems. In other words, the design of a state feedback and the design of a state observer can be carried out independently. Further, general complete parameterisation of the state feedback controller is also established. Finally, numerical examples and simulations are adopted to verify the effectiveness of the proposed method.
ISSN:1751-8644
1751-8652
DOI:10.1049/cth2.12336