A NON-PDCH∞ OUTPUT FEEDBACK CONTROLLER DESIGN FOR T-S FUZZY SYSTEMS WITH UNKNOWN PREMISE VARIABLES AND CONTROL CONSTRAINTS VIA LMI

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ASEMANI MOHAMMAD HASSAN; JOHARI MAJD VAHID

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Journal: Journal of Control Year:2012 | Volume:6 | Issue:1 Page(s): 51-60

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Title

A NON-PDCH∞ OUTPUT FEEDBACK CONTROLLER DESIGN FOR T-S FUZZY SYSTEMS WITH UNKNOWN PREMISE VARIABLES AND CONTROL CONSTRAINTS VIA LMI

Author(s)

ASEMANI MOHAMMAD HASSAN | JOHARI MAJD VAHID | Issue Writer Certificate

Keywords

H∞ OBSERVER-BASED CONTROLQ3

DESCRIPTOR REDUNDANCY APPROACHQ3

T-S FUZZY SYSTEMQ3

FUZZY LYAPUNOV FUNCTIONQ3

LINEAR MATRIX INEQUALITY (LMI)Q3

Abstract

In this paper, non-PDC H¥ observer-based controller design for disturbed T-S FUZZY SYSTEMs with unknown premise variables is addressed for the first time. Unlike the available non- PDC-based approaches, real state variables are not used in the controller equation. Moreover, using the DESCRIPTOR REDUNDANCY APPROACH, the observer and controller gains are calculated by solving some strict linear matrix inequalities (LMIs). A FUZZY LYAPUNOV FUNCTION approach is utilized to obtain less conservative design conditions than previous methods. Furthermore, in order to satisfy an arbitrary upper bound on the absolute value of the control signal, additional design conditions are obtained which depend on the upper bounds of the initial states of the observer. The effectiveness of the proposed method is shown via a numerical simulation.

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APA: Copy

ASEMANI, MOHAMMAD HASSAN, & JOHARI MAJD, VAHID. (2012). A NON-PDCH_∞ OUTPUT FEEDBACK CONTROLLER DESIGN FOR T-S FUZZY SYSTEMS WITH UNKNOWN PREMISE VARIABLES AND CONTROL CONSTRAINTS VIA LMI. JOURNAL OF CONTROL, 6(1), 51-60. SID. https://sid.ir/paper/120755/en

Vancouver: Copy

ASEMANI MOHAMMAD HASSAN, JOHARI MAJD VAHID. A NON-PDCH_∞ OUTPUT FEEDBACK CONTROLLER DESIGN FOR T-S FUZZY SYSTEMS WITH UNKNOWN PREMISE VARIABLES AND CONTROL CONSTRAINTS VIA LMI. JOURNAL OF CONTROL[Internet]. 2012;6(1):51-60. Available from: https://sid.ir/paper/120755/en

IEEE: Copy

MOHAMMAD HASSAN ASEMANI, and VAHID JOHARI MAJD, “A NON-PDCH_∞ OUTPUT FEEDBACK CONTROLLER DESIGN FOR T-S FUZZY SYSTEMS WITH UNKNOWN PREMISE VARIABLES AND CONTROL CONSTRAINTS VIA LMI,” JOURNAL OF CONTROL, vol. 6, no. 1, pp. 51–60, 2012, [Online]. Available: https://sid.ir/paper/120755/en

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