Static output feedback stabilization for fractional-order systems in T-S fuzzy models

2016 ◽  
Vol 218 ◽  
pp. 354-358 ◽  
Author(s):  
Chong Lin ◽  
Bing Chen ◽  
Qing-Guo Wang
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Feedback Stabilization ◽  
Static Output Feedback ◽  
Fractional Order Systems ◽  
Output Feedback Stabilization ◽  
Fuzzy Models ◽  
Static Output

THE CONTROLLER DESIGN FOR SINGULAR FRACTIONAL-ORDER SYSTEMS WITH FRACTIONAL ORDER 0 <α< 1

2018 ◽  
Vol 60 (2) ◽  
pp. 230-248
Author(s):  
T. ZHAN ◽  
S. P. MA
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Necessary Condition ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Fractional Order Systems ◽  
Static Output

We study the problem of pseudostate and static output feedback stabilization for singular fractional-order linear systems with fractional order $\unicode[STIX]{x1D6FC}$ when $0<\unicode[STIX]{x1D6FC}<1$. All the results are given by linear matrix inequalities. First, a new sufficient and necessary condition for the admissibility of singular fractional-order systems is presented. Then based on the admissible result, not only are sufficient conditions for designing pseudostate and static output feedback controllers obtained, but also sufficient and necessary conditions are presented by using different methods that guarantee the admissibility of the closed-loop systems. Finally, the effectiveness of the proposed approach is demonstrated by numerical simulations and a real-world example.

scholarly journals Stabilization for Singular Fractional-Order Systems via Static Output Feedback

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 71678-71684 ◽  
Author(s):  
Ying Guo ◽  
Chong Lin ◽  
Bing Chen ◽  
Qing-Guo Wang
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Static Output Feedback ◽  
Fractional Order Systems ◽  
Static Output

Static Output Feedback Stabilization: An ILMI Approach

Automatica ◽  
1998 ◽  
Vol 34 (12) ◽  
pp. 1641-1645 ◽  
Author(s):  
YONG-YAN CAO ◽  
JAMES LAM ◽  
YOU-XIAM SUN
Keyword(s):  
Output Feedback ◽  
Feedback Stabilization ◽  
Static Output Feedback ◽  
Output Feedback Stabilization ◽  
Static Output
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