ASYNCHRONOUS CONTROL AND STABILIZATION OF LINEAR SWITCHED SYSTEMS WITH UNSTABILIZABLE SUBSYSTEMS BY AVERAGE DWELL TIME APPROACH

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SIAVASH MAHDI; SHEIKHOLESLAM FARID; ASKARI JAVAD; HAJSHIRMOHAMMADI SHAHRAM

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Journal: Journal of Control Year:2015 | Volume:9 | Issue:2 Page(s): 0-0

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Title

ASYNCHRONOUS CONTROL AND STABILIZATION OF LINEAR SWITCHED SYSTEMS WITH UNSTABILIZABLE SUBSYSTEMS BY AVERAGE DWELL TIME APPROACH

Author(s)

SIAVASH MAHDI | SHEIKHOLESLAM FARID | ASKARI JAVAD | HAJSHIRMOHAMMADI SHAHRAM | Issue Writer Certificate

Keywords

LINEAR SWITCHED SYSTEMSQ2

EXPONENTIAL STABILITYQ2

UNSTABILIZABLE SUBSYSTEMQ2

ASYNCHRONOUS SWITCHINGQ2

AVERAGE DWELL TIMEQ2

Abstract

Stabilization of switched linear systems is one of the most important problems in the field of switched systems. On the other hand, ASYNCHRONOUS SWITCHING between the controller and the system may lead to an unstable closed loop system or degrade the closed loop system’s performance. In this paper the problem of stabilizing a switched system with both stabilizable and UNSTABILIZABLE SUBSYSTEMs and ASYNCHRONOUS SWITCHING between the controller and the system is considered. Using Lyapunov-like functions, some criteria are presented to guarantee the stability of the switched system based on the activity time of the stable and unstable subsystems and maximum number of switchings in a given time interval for both discrete-time and continuous-time cases. The last issue, verified in this paper is the design of a state feedback controller which can provide stability criteria, as well as designer’s desired criteria, including minimum activity time of the stable subsystems. In order to illustrate the effectiveness of the proposed method, simulation results are presented at the end of the paper.

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APA: Copy

SIAVASH, MAHDI, SHEIKHOLESLAM, FARID, ASKARI, JAVAD, & HAJSHIRMOHAMMADI, SHAHRAM. (2015). ASYNCHRONOUS CONTROL AND STABILIZATION OF LINEAR SWITCHED SYSTEMS WITH UNSTABILIZABLE SUBSYSTEMS BY AVERAGE DWELL TIME APPROACH. JOURNAL OF CONTROL, 9(2), 0-0. SID. https://sid.ir/paper/396922/en

Vancouver: Copy

SIAVASH MAHDI, SHEIKHOLESLAM FARID, ASKARI JAVAD, HAJSHIRMOHAMMADI SHAHRAM. ASYNCHRONOUS CONTROL AND STABILIZATION OF LINEAR SWITCHED SYSTEMS WITH UNSTABILIZABLE SUBSYSTEMS BY AVERAGE DWELL TIME APPROACH. JOURNAL OF CONTROL[Internet]. 2015;9(2):0-0. Available from: https://sid.ir/paper/396922/en

IEEE: Copy

MAHDI SIAVASH, FARID SHEIKHOLESLAM, JAVAD ASKARI, and SHAHRAM HAJSHIRMOHAMMADI, “ASYNCHRONOUS CONTROL AND STABILIZATION OF LINEAR SWITCHED SYSTEMS WITH UNSTABILIZABLE SUBSYSTEMS BY AVERAGE DWELL TIME APPROACH,” JOURNAL OF CONTROL, vol. 9, no. 2, pp. 0–0, 2015, [Online]. Available: https://sid.ir/paper/396922/en

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