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

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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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Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, Jiangsu, 214122, China

    Yanyan Yin & Fei Liu

  2. School of Engineering and Science, Victoria University, Melbourne, Vic, 8001, Australia

    Peng Shi

  3. School of Mathematics and Statistics, University of South Australia, Mawson Lakes, 5095, Australia

    Peng Shi

  4. Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, UK

    Peng Shi

Authors
  1. Yanyan Yin
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  2. Fei Liu
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  3. Peng Shi
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Correspondence to Peng Shi.

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Yin, Y., Liu, F. & Shi, P. Finite-Time Gain-Scheduled Control on Stochastic Bioreactor Systems with Partially Known Transition Jump Rates. Circuits Syst Signal Process 30, 609–627 (2011). https://doi.org/10.1007/s00034-010-9236-y

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  • DOI: https://doi.org/10.1007/s00034-010-9236-y

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