Adaptive linearizing control algorithms for fermentation processes are proposed. They are valid i... more Adaptive linearizing control algorithms for fermentation processes are proposed. They are valid in continuous as well as in discrete time. The design is based on non linear state space models which are linearly parameterized. The convergence of the proposed algorithms is analysed in the discrete tme case. Two practical examples (anaerobic digestion and ethanolic fermentation) are used to illustrate the approach.
ABSTRACT In this paper, we design a nonlinear controller for a catalytic fluidized bed reactor. T... more ABSTRACT In this paper, we design a nonlinear controller for a catalytic fluidized bed reactor. The control law is chosen to obtain a closed loop behaviour for the tracking error. An extended Kalman filter algorithm is used together with an identification algorithm to estimate the unknown state vector and the two parameters related to heat transfer coefficients. Simulations studies shows that the proposed algorithm provides good set-point tracking.
ABSTRACT This paper is concerned with the real-time optimization of fed-batch bioreactors with Ha... more ABSTRACT This paper is concerned with the real-time optimization of fed-batch bioreactors with Haldane kinetics. The proposed adaptive extremum seeking approach utilizes the structure information of the process kinetics to derive a seeking algorithm that drives the system states to the desired set-points that maximize the biomass production. Lyapunov's stability theorem is used in the design of the extremum seeking controller structure and the development of the parameter learning laws. The performance of the approach is illustrated via numerical simulations.
The problem of regulating intermediate metabolites (acetate, propionate and hydrogen) in anaerobi... more The problem of regulating intermediate metabolites (acetate, propionate and hydrogen) in anaerobic digestion processes is considered. The problem is solved by using a feedback linearising technique applied to a reduced order model obtained from pseudo-steady-state approximations. It is illustrated with an experimental application to an anaerobic digestion pilot plant.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006
The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performe... more The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performed. The existence of nonnegative state trajectories and invariance of the set of all physically feasible state values under the dynamical equation, as well as the convergence of state trajectories to equilibrium profiles, are reported. In addition, it is reported that under physically meaningful conditions the system has
We consider input constrained adaptive output feedback control for exothermic chemical tubular re... more We consider input constrained adaptive output feedback control for exothermic chemical tubular reactor with axial dispersion. we use a non linear distributed parameter model with boundary control for both the evolution of the temperature and concentration. Our objective is the set point control of the output i.e, the temperature of the reaction. Practical consideration lead us to work in the presence of input constraints. we apply a λ-tracking controller, we show that for all initial temperature and under a simple feasibility assumptions that the tracking error tends asymptotically to a ball centred at the reference temperature and of arbitrary prescribed radius λ
Adaptive linearizing control algorithms for fermentation processes are proposed. They are valid i... more Adaptive linearizing control algorithms for fermentation processes are proposed. They are valid in continuous as well as in discrete time. The design is based on non linear state space models which are linearly parameterized. The convergence of the proposed algorithms is analysed in the discrete tme case. Two practical examples (anaerobic digestion and ethanolic fermentation) are used to illustrate the approach.
ABSTRACT In this paper, we design a nonlinear controller for a catalytic fluidized bed reactor. T... more ABSTRACT In this paper, we design a nonlinear controller for a catalytic fluidized bed reactor. The control law is chosen to obtain a closed loop behaviour for the tracking error. An extended Kalman filter algorithm is used together with an identification algorithm to estimate the unknown state vector and the two parameters related to heat transfer coefficients. Simulations studies shows that the proposed algorithm provides good set-point tracking.
ABSTRACT This paper is concerned with the real-time optimization of fed-batch bioreactors with Ha... more ABSTRACT This paper is concerned with the real-time optimization of fed-batch bioreactors with Haldane kinetics. The proposed adaptive extremum seeking approach utilizes the structure information of the process kinetics to derive a seeking algorithm that drives the system states to the desired set-points that maximize the biomass production. Lyapunov's stability theorem is used in the design of the extremum seeking controller structure and the development of the parameter learning laws. The performance of the approach is illustrated via numerical simulations.
The problem of regulating intermediate metabolites (acetate, propionate and hydrogen) in anaerobi... more The problem of regulating intermediate metabolites (acetate, propionate and hydrogen) in anaerobic digestion processes is considered. The problem is solved by using a feedback linearising technique applied to a reduced order model obtained from pseudo-steady-state approximations. It is illustrated with an experimental application to an anaerobic digestion pilot plant.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006
The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performe... more The dynamical analysis of a biochemical reactor distributed parameter nonlinear model is performed. The existence of nonnegative state trajectories and invariance of the set of all physically feasible state values under the dynamical equation, as well as the convergence of state trajectories to equilibrium profiles, are reported. In addition, it is reported that under physically meaningful conditions the system has
We consider input constrained adaptive output feedback control for exothermic chemical tubular re... more We consider input constrained adaptive output feedback control for exothermic chemical tubular reactor with axial dispersion. we use a non linear distributed parameter model with boundary control for both the evolution of the temperature and concentration. Our objective is the set point control of the output i.e, the temperature of the reaction. Practical consideration lead us to work in the presence of input constraints. we apply a λ-tracking controller, we show that for all initial temperature and under a simple feasibility assumptions that the tracking error tends asymptotically to a ball centred at the reference temperature and of arbitrary prescribed radius λ
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Papers by D. Dochain