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https://hdl.handle.net/2440/83614
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Type: | Journal article |
Title: | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
Author: | Yin, Y. Liu, F. Shi, P. |
Citation: | Circuits, Systems and Signal Processing, 2011; 30(3):609-627 |
Publisher: | Birkhauser Boston Inc |
Issue Date: | 2011 |
ISSN: | 0278-081X 1531-5878 |
Statement of Responsibility: | Yanyan Yin, Fei Liu, Peng Shi |
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 infinity controllers for such linear jump systems. Lastly, continuous gain-scheduled approach is employed to design observer-based continuous H infinity controllers for the whole bioreactor jump systems. Simulation examples show the effectiveness and potential of the developed techniques. |
Keywords: | Markov jump Stochastic bioreactor systems Stochastic finite-time stabilization Continuous gain scheduling Observer-based H infinity controller |
Rights: | © Springer Science+Business Media, LLC 2010 |
DOI: | 10.1007/s00034-010-9236-y |
Published version: | http://dx.doi.org/10.1007/s00034-010-9236-y |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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