Finite-Time Gain-Scheduled Control on Stochastic Bioreactor Systems with Partially Known Transition Jump Rates

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Yin, Yanyan, Liu, Fei and Shi, Peng (2011) Finite-Time Gain-Scheduled Control on Stochastic Bioreactor Systems with Partially Known Transition Jump Rates. Circuits, Systems and Signal Processing, 30 (3). pp. 609-627. ISSN 0278-081X

Abstract

In this paper, an observer-based finite-time continuous gain-scheduled control is designed for a class of stochastic bioreactor systems with partially known jump rates. By using gradient linearization approach, the nonlinear stochastic systems are described by a series of linear jump models at some selected working points, then based on stochastic Lyapunov–Krasovskii functional approach, a new robust stochastic finite-time stabilizable criterion is derived to ensure robust finite-time stabilization of the each jump linear system by means of linear matrix inequalities. This method is then extended to provide observer-based finite-time state feedback H∞ controllers for such linear jump systems. Lastly, continuous gain-scheduled approach is employed to design observer-based continuous H∞ controllers for the whole bioreactor jump systems. Simulation examples show the effectiveness and potential of the developed techniques.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7188
DOI https://doi.org/10.1007/s00034-010-9236-y
Official URL http://dx.doi.org/10.1007/s00034-010-9236-y
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Current > FOR Classification > 0906 Electrical and Electronic Engineering
Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords ResPubID21762, Markov jump, stochastic bioreactor systems, stochastic finite-time stabilization, continuous gain scheduling, observer-based H∞ controller
Citations in Scopus 25 - View on Scopus
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