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Research Papers

Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching

[+] Author and Article Information
Saeed Pezeshki

Faculty of Electrical and Computer Engineering,
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

Amir Rikhtehgar Ghiasi

Faculty of Electrical and Computer Engineering,
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

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 140(6), 061013 (Dec 22, 2017) (11 pages) Paper No: DS-17-1240; doi: 10.1115/1.4038491 History: Received May 06, 2017; Revised November 10, 2017

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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References

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Figures

Grahic Jump Location
Fig. 2

Schematic of the boost converter

Grahic Jump Location
Fig. 4

Response of the switched system with input delay τ¯=0.05 s and x(0)=[00], xr(0)=[22]

Grahic Jump Location
Fig. 1

Response of the switched system with input delay τ¯=0.1 s and w=sin (0.3t) compared with Ref. [25]

Grahic Jump Location
Fig. 3

The PWM-driven boost converter

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