Robust Output-Feedback Stabilization of a Nonlinear Bioreactor: A Matrix Inequality Approach
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Publication Details
Author list: Jennawasin T., Banjerdpongchai D.
Publisher: IEEE Computer Society
Publication year: 2019
Volume number: 2019-October
Start page: 1268
End page: 1273
Number of pages: 6
ISBN: 9788993215182
ISSN: 1598-7833
eISSN: 1598-7833
Languages: English-Great Britain (EN-GB)
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Abstract
This paper deals with an output-feedback stabilization problem of a nonlinear continuous bioreactor, whose vector fields are rational functions. In this problem, the control input must be bounded in some specified range in order to prevent the system reaching into undesired properties, such as bifurcation. To cope with this practical issue, we propose in this paper a novel condition for static output feedback design for nonlinear polynomial or rational systems with constraints on input magnitudes. The proposed design condition is bilinear in the decision variables, and hence we provide an iterative algorithm to solve the design problem. At each iteration, the design condition can be cast as standard convex optimization using the sum-of-squares technique and thus can be efficiently solved via the existing software tools. In addition, the novel parameter-dependent Lyapunov functions allow extension to robust static output-feedback design of systems subject to parametric uncertainty. Validity and effectiveness of the proposed approach are demonstrated by numerical simulations. ฉ 2019 Institute of Control, Robotics and Systems - ICROS.
Keywords
Bioreactor, Nonlinear systems, Robust stability, Static output-feedback stabilization