The output feedback control synthesis for a class of singular fractional order systems

Yiheng Wei; Peter W Tse; Zhao Yao; Yong Wang

doi:10.1016/j.isatra.2017.04.020

The output feedback control synthesis for a class of singular fractional order systems

ISA Trans. 2017 Jul:69:1-9. doi: 10.1016/j.isatra.2017.04.020. Epub 2017 May 3.

Authors

Yiheng Wei¹, Peter W Tse², Zhao Yao³, Yong Wang⁴

Affiliations

¹ Department of Automation, University of Science and Technology of China, Hefei 230026, China; Department of Systems Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Hong Kong, China.
² Department of Systems Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Hong Kong, China. Electronic address: meptse@cityu.edu.hk.
³ Mechanical and Electrical Engineering College, Changchun University of Science and Technology, Changchun, 130022, China.
⁴ Department of Automation, University of Science and Technology of China, Hefei 230026, China.

PMID: 28477895
DOI: 10.1016/j.isatra.2017.04.020

Abstract

This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2). Firstly, an effective criterion for the normalization of singular fractional order systems is given with output differential feedback. Afterwards, both static and dynamic output feedback stabilization of such normalized fractional order systems are derived. Besides, the robustness to the parameter uncertainty and the initial conditions are discussed in detail. All the results are given via linear matrix inequality (LMI) formulation. Finally, three numerical examples are provided to demonstrate the applicability of the proposed approaches.

Keywords: Fractional order system; LMI; Normalization; Output feedback; Parameter uncertainty; Singular system.