A SLIDING MODE CONTROL SCHEME FOR FRACTIONAL STOCHASTIC SYSTEMS WITH STATE DELAY

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KHANDANI KHOSRO; JOHARI MAJD VAHID; TAHMASEBI MAHDIEH

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Paper Information

Journal: Journal of Control Year:2016 | Volume:10 | Issue:2 Page(s): 13-22

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Title

A SLIDING MODE CONTROL SCHEME FOR FRACTIONAL STOCHASTIC SYSTEMS WITH STATE DELAY

Author(s)

KHANDANI KHOSRO | JOHARI MAJD VAHID | TAHMASEBI MAHDIEH | Issue Writer Certificate

Keywords

FRACTIONAL STOCHASTIC SYSTEMQ2

FRACTIONAL INFINITESIMAL OPERATORQ2

SLIDING MODE CONTROLQ2

LINEAR MATRIX INEQUALITIESQ1

PITCH CONTROL OF A WIND TURBINEQ2

Abstract

In this paper, a new approach is proposed for stability analysis of FRACTIONAL STOCHASTIC SYSTEMs. By extending the concept of infinitesimal operator using the fractional Ito formula, it becomes possible to apply it in FRACTIONAL STOCHASTIC SYSTEMs for stability analysis by Lyapunov functions. Thereafter, the presented stability criterion is utilized to develop the SLIDING MODE CONTROL scheme for FRACTIONAL STOCHASTIC SYSTEMs with state delay. The proposed design method ensures that the state trajectories reach the sliding surface with probability one. Stability analysis of the system at sliding mode is executed using the given FRACTIONAL INFINITESIMAL OPERATOR and the stochastic stability conditions are given in the form of LINEAR MATRIX INEQUALITIES. To illustrate the efficiency of the results, the application of the method is presented for the pitch control of a variable speed wind turbine.

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APA: Copy

KHANDANI, KHOSRO, JOHARI MAJD, VAHID, & TAHMASEBI, MAHDIEH. (2016). A SLIDING MODE CONTROL SCHEME FOR FRACTIONAL STOCHASTIC SYSTEMS WITH STATE DELAY. JOURNAL OF CONTROL, 10(2), 13-22. SID. https://sid.ir/paper/120901/en

Vancouver: Copy

KHANDANI KHOSRO, JOHARI MAJD VAHID, TAHMASEBI MAHDIEH. A SLIDING MODE CONTROL SCHEME FOR FRACTIONAL STOCHASTIC SYSTEMS WITH STATE DELAY. JOURNAL OF CONTROL[Internet]. 2016;10(2):13-22. Available from: https://sid.ir/paper/120901/en

IEEE: Copy

KHOSRO KHANDANI, VAHID JOHARI MAJD, and MAHDIEH TAHMASEBI, “A SLIDING MODE CONTROL SCHEME FOR FRACTIONAL STOCHASTIC SYSTEMS WITH STATE DELAY,” JOURNAL OF CONTROL, vol. 10, no. 2, pp. 13–22, 2016, [Online]. Available: https://sid.ir/paper/120901/en

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