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

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.

H∞ Static Output Feedback Control for a Fractional-Order Glucose-Insulin System

2013 ◽  
Vol 46 (1) ◽  
pp. 266-271 ◽  
Author(s):  
Ibrahima Ndoye ◽  
Holger Voos ◽  
Mohamed Darouach ◽  
Jochen G. Schneider ◽  
Nicolas Knauf
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Static Output Feedback ◽  
Static Output Feedback Control ◽  
Static Output

scholarly journals Design of Static Output Feedback Controller for Fractional-Order T-S Fuzzy System

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zhile Xia
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Matrix Decomposition ◽  
Order Theory ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Feedback Controllers ◽  
Static Output

This paper studies the design of fuzzy static output feedback controllers for two kinds of fractional-order T-S fuzzy systems. The fractional order α satisfies 0<α<1 and 1≤α<2. Based on the fractional order theory, matrix decomposition technique, and projection theorem, four new sufficient conditions for the asymptotic stability of the system and the corresponding controller design methods are given. All the results can be expressed by linear matrix inequalities, and the relationship between fuzzy subsystems is also considered. These have great advantages in solving the results and reducing the conservatism. Finally, a simulation example is given to show the effectiveness of the proposed method.

Static output feedback ℋ ∞ control for a fractional-order glucose-insulin system

2015 ◽  
Vol 13 (4) ◽  
pp. 798-807 ◽  
Author(s):  
Ibrahima N’Doye ◽  
Holger Voos ◽  
Mohamed Darouach ◽  
Jochen G. Schneider
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Static Output Feedback ◽  
Static Output

Maximal Bound for Output Feedback Gain in Stabilization of Fixed Points of Fractional-Order Chaotic Systems

2011 ◽  
Vol 6 (3) ◽  
Author(s):  
Mohammad Saleh Tavazoei
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fractional Order ◽  
Output Feedback ◽  
Chaotic Systems ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Perturbation Bound ◽  
The Stability ◽  
Static Output

This paper deals with the problem of stabilizing the unstable fixed points of a class of fractional-order chaotic systems via using static output feedback. At first, a static output feedback controller designed to stabilize a fixed point of a fractional-order chaotic system is considered. Then, the maximal allowable perturbation bound around the nominal value of the output feedback gain of the designed controller, such that the stability of the intended fixed point in the closed-loop system is guaranteed, is analytically determined. Also, some numerical examples are presented to confirm the validity of the analytical results of the paper.

Sign in / Sign up

Export Citation Format

Share Document