Sliding mode and adaptive sliding‐mode control of a class of nonlinear bioprocesses

This work deals with some sliding mode (SM) and adaptive sliding-mode control (SMC) strategies for a class of nonlinear biotechnological processes. First, a dynamical SM-based feedback strategy is designed in order to ensure the asymptotic output stabilization of nonlinear bioprocesses. The control law design is done by means of a combination between the exact linearization approach and the SMC. Second, an adaptive SMC strategy is derived for this class of bioprocesses. In order to deal with the parametric uncertainties of the bioprocesses, the adaptive form of the SMC law is designed by means of direct, overparameterized adaptive control techniques available for linearizable systems. The paper also presents the implementation of the proposed control strategies for two typical bioprocesses belonging to the studied nonlinear class. The first prototype process takes place into a Continuous Stirred Tank Bioreactor, and the second is a lipase production process that takes place inside a Fed-Batch Bioreactor. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[2]  S. P. Stanchev,et al.  A variant of an (combined) adaptive controller design introducing sliding regime in Lyapunov derivative , 2003, Proceedings of the 2003 American Control Conference, 2003..

[3]  Hebertt Sira-Ramírez,et al.  On the sliding mode control of nonlinear systems , 1992 .

[4]  D. Dochain,et al.  On-Line Estimation and Adaptive Control of Bioreactors , 2013 .

[5]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[6]  Mohd Azlan Hussain,et al.  Sliding Mode Control for a Continuous Bioreactor , 2003 .

[7]  Hebertt Sira-Ramírez,et al.  Dynamical discontinuous feedback strategies in the regulation of nonlinear chemical processes , 1994, IEEE Trans. Control. Syst. Technol..

[8]  Michel Fliess,et al.  Generalized controller canonical form for linear and nonlinear dynamics , 1990 .

[9]  Enric Fossas,et al.  Sliding Mode Control in a Bioreactor Model , 2001 .

[10]  Olivier Bernard,et al.  Nonlinear adaptive control for bioreactors with unknown kinetics , 2004, Autom..

[11]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[12]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[13]  Mohamed Zribi,et al.  Adaptive dynamical variable structure feedback regulation for nonlinear uncertain systems , 1993 .

[14]  A. Isidori.  Nonlinear Control Systems , 1985 .

[15]  A. Bartoszewicz.  Chattering attenuation in sliding mode control systems , 2000 .

[16]  I. Boiko,et al.  Frequency domain analysis of second order sliding modes , 2006, 2006 American Control Conference.

[17]  Chun-Chieh Wang,et al.  Complementary sliding control of non-linear systems , 2002 .

[18]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[19]  I. Boiko.  Analysis of sliding modes in the frequency domain , 2005 .

[20]  Kumpati S. Narendra,et al.  Advances in Adaptive Control , 1991 .

[21]  S. Charbonnier,et al.  Estimation and control strategies for a lipase production process , 1996 .