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Model Reference Control for Linear Time-Varying Systems: A Direct Parametric Approach
- Source :
- IEEE Access, Vol 8, Pp 61202-61212 (2020)
- Publication Year :
- 2020
- Publisher :
- IEEE, 2020.
-
Abstract
- This paper investigates model reference control for linear time-varying (LTV) systems. It is shown that the problem can be decomposed into two sub-problems: a state feedback stabilization problem of LTV systems and a feed-forward compensation problem. Firstly, the sufficient condition for the existence of the model reference control is deduced. The condition concerns two coefficient matrices such that two matrix equations are met simultaneously, and the state feedback gain matrix stabilizes LTV systems according to the unified spectral theory. Secondly, generally complete parametrization of the model reference tracking controller including a state feedback controller and a feed-forward compensator is proposed based on the solution to a type of generalized Sylvester matrix equations. Furthermore, a general procedure for solving the model reference control problem is also provided. Finally, a numerical example shows the feasibility and effectiveness of the parametric design approach to the model reference control in LTV systems.
- Subjects :
- Sylvester matrix
Spectral theory
General Computer Science
Computer science
model reference control
PD-eigenstructure
parametric approach
General Engineering
Matrix (mathematics)
Control theory
Full state feedback
General Materials Science
Linear time-varying systems
lcsh:Electrical engineering. Electronics. Nuclear engineering
Time complexity
Parametrization
Sylvester equations
lcsh:TK1-9971
Parametric statistics
Subjects
Details
- Language :
- English
- ISSN :
- 21693536
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- IEEE Access
- Accession number :
- edsair.doi.dedup.....ea690d6865d688cdba9a5dc5e9954e12