This paper concerns the problems of stability and robust model reference tracking control for a class of switched nonlinear systems with input delay under asynchronous switching. By proposing a new Lyapunov–Krasovskii functional, and using free-weighting matrices and average dwell-time (ADT) technique, new input-to-state stability (ISS) conditions are derived in terms of linear matrix inequalities (LMIs) under a certain delay bound. Then, robust model reference tracking control problem is studied based on the proposed Lyapunov–Krasovskii functional; Finally a kind of state feedback control law which guarantees robust model reference tracking performance is proposed. Illustrative examples are presented to demonstrate the efficacy and feasibility of results.
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June 2018
Research-Article
Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching
Saeed Pezeshki,
Saeed Pezeshki
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: saeedpezeshki@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: saeedpezeshki@tabrizu.ac.ir
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Mohammad Ali Badamchizadeh,
Mohammad Ali Badamchizadeh
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: mbadamchi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: mbadamchi@tabrizu.ac.ir
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Amir Rikhtehgar Ghiasi,
Amir Rikhtehgar Ghiasi
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: agiasi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: agiasi@tabrizu.ac.ir
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Sehraneh Ghaemi
Sehraneh Ghaemi
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: ghaemi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: ghaemi@tabrizu.ac.ir
Search for other works by this author on:
Saeed Pezeshki
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: saeedpezeshki@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: saeedpezeshki@tabrizu.ac.ir
Mohammad Ali Badamchizadeh
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: mbadamchi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: mbadamchi@tabrizu.ac.ir
Amir Rikhtehgar Ghiasi
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: agiasi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: agiasi@tabrizu.ac.ir
Sehraneh Ghaemi
Faculty of Electrical and Computer Engineering,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: ghaemi@tabrizu.ac.ir
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: ghaemi@tabrizu.ac.ir
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 6, 2017; final manuscript received November 10, 2017; published online December 22, 2017. Assoc. Editor: Ryozo Nagamune.
J. Dyn. Sys., Meas., Control. Jun 2018, 140(6): 061013 (11 pages)
Published Online: December 22, 2017
Article history
Received:
May 6, 2017
Revised:
November 10, 2017
Citation
Pezeshki, S., Badamchizadeh, M. A., Ghiasi, A. R., and Ghaemi, S. (December 22, 2017). "Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching." ASME. J. Dyn. Sys., Meas., Control. June 2018; 140(6): 061013. https://doi.org/10.1115/1.4038491
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