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The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 161 - Number 2
Year of Publication: 2017
Authors:
Omar Zakary, Mostafa Rachik, Samih Lazaiz
10.5120/ijca2017913125

Omar Zakary, Mostafa Rachik and Samih Lazaiz. The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems. International Journal of Computer Applications 161(2):1-6, March 2017. BibTeX

@article{10.5120/ijca2017913125,
	author = {Omar Zakary and Mostafa Rachik and Samih Lazaiz},
	title = {The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems},
	journal = {International Journal of Computer Applications},
	issue_date = {March 2017},
	volume = {161},
	number = {2},
	month = {Mar},
	year = {2017},
	issn = {0975-8887},
	pages = {1-6},
	numpages = {6},
	url = {http://www.ijcaonline.org/archives/volume161/number2/27117-2017913125},
	doi = {10.5120/ijca2017913125},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design a robust tracking controllers for this class of linear systems is proposed. First, it is assumed that system states must be fully accessible. The system is controlled to track dynamic outputs generated by a reference model. By using the the Lyapunov stability, the convergence of the tracking error to the origin, is proved. An application to a class of disturbed systems is considered. Numerical examples are given to demonstrate the validity of our results. Second, it is assumed that the system states are not accessibles. An observer is designed firstly, and then based on the observed states the controller is designed. The proposed approach employs linear controllers rather than nonlinear ones. Therefore, the designing method is simple for use and the resulting controller is easy to implement.

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Keywords

Robust tracking, model following, discrete-time systems, disturbances, observer