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Wei, Yiheng; Karimi, Hamid Reza; Liang, Shu; Gao, Qing; Wang, Yong

General output feedback stabilization for fractional order systems: an LMI approach. (English) Zbl 1406.93271

Abstr. Appl. Anal. 2014, Article ID 737495, 9 p. (2014).
Summary: This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order \(0 < \alpha < 2\). The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with \(0 < \alpha < 1\). Furthermore, the results are extended to stabilize the FO-LTI systems with \(1 \leq \alpha < 2\). Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods.

Cited in 6 Documents

MSC:

93D15 Stabilization of systems by feedback
93C15 Control/observation systems governed by ordinary differential equations
34A08 Fractional ordinary differential equations
26A33 Fractional derivatives and integrals
93B35 Sensitivity (robustness)

Keywords:

output feedback stabilization; fractional order systems; robust output feedback control
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References:

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