STABILITY ANALYSIS AND CONTROLLER DESIGN FOR INTERVAL TYPE-2 T-S FUZZY SYSTEMS UNDER NON-PARALLEL DISTRIBUTED COMPENSATION AND FUZZY LYAPUNOV FUNCTION APPROACH

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KHANI ARMAN; GHAEMI SEHRANEH; BADAMCHIZADEH MOHAMMAD ALI

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Journal: Journal of Control Year:2015 | Volume:9 | Issue:1 Page(s): 25-33

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Title

STABILITY ANALYSIS AND CONTROLLER DESIGN FOR INTERVAL TYPE-2 T-S FUZZY SYSTEMS UNDER NON-PARALLEL DISTRIBUTED COMPENSATION AND FUZZY LYAPUNOV FUNCTION APPROACH

Author(s)

KHANI ARMAN | GHAEMI SEHRANEH | BADAMCHIZADEH MOHAMMAD ALI | Issue Writer Certificate

Keywords

INTERVAL TYPE-2 T-S FUZZY MODELQ2

STABILITY ANALYSISQ2

FUZZY LYAPUNOV FUNCTIONQ2

LINEAR MATRIX INEQUALITIES (LMI)Q2

Abstract

In this paper, we investigate the design method for interval type-2 (IT2) fuzzy controller for nonlinear systems along with uncertainty parameters. In order to analyze the stability and synthesis the control methods conveniently, an IT2 T-S fuzzy model is applied through representing the dynamic of nonlinear systems. Uncertainty parameters are captured by IT2 membership function characterized by the lower and upper membership functions. In this paper, for IT2 fuzzy controller, the membership functions and number of rules can be freely chosen different from the IT2 T-S fuzzy model. This method is known Non- Parallel Distributed Compensation. To reduce the conservativeness of STABILITY ANALYSIS, a FUZZY LYAPUNOV FUNCTION candidate is applied. The stability conditions in term of linear matrix inequalities (LMI) are obtained.

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APA: Copy

KHANI, ARMAN, GHAEMI, SEHRANEH, & BADAMCHIZADEH, MOHAMMAD ALI. (2015). STABILITY ANALYSIS AND CONTROLLER DESIGN FOR INTERVAL TYPE-2 T-S FUZZY SYSTEMS UNDER NON-PARALLEL DISTRIBUTED COMPENSATION AND FUZZY LYAPUNOV FUNCTION APPROACH. JOURNAL OF CONTROL, 9(1), 25-33. SID. https://sid.ir/paper/120776/en

Vancouver: Copy

KHANI ARMAN, GHAEMI SEHRANEH, BADAMCHIZADEH MOHAMMAD ALI. STABILITY ANALYSIS AND CONTROLLER DESIGN FOR INTERVAL TYPE-2 T-S FUZZY SYSTEMS UNDER NON-PARALLEL DISTRIBUTED COMPENSATION AND FUZZY LYAPUNOV FUNCTION APPROACH. JOURNAL OF CONTROL[Internet]. 2015;9(1):25-33. Available from: https://sid.ir/paper/120776/en

IEEE: Copy

ARMAN KHANI, SEHRANEH GHAEMI, and MOHAMMAD ALI BADAMCHIZADEH, “STABILITY ANALYSIS AND CONTROLLER DESIGN FOR INTERVAL TYPE-2 T-S FUZZY SYSTEMS UNDER NON-PARALLEL DISTRIBUTED COMPENSATION AND FUZZY LYAPUNOV FUNCTION APPROACH,” JOURNAL OF CONTROL, vol. 9, no. 1, pp. 25–33, 2015, [Online]. Available: https://sid.ir/paper/120776/en

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