A robust non‐linear feedback control strategy for a class of bioprocesses

Coutinho, Daniel; Wouwer, Alain Vande

doi:10.1049/iet-cta.2012.0336

Cited by 16 publications

(20 citation statements)

References 24 publications

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“…The aforementioned method is also suitable for the following perturbed nonlinear system:

\dot{x} = F (x) + G (x) u + ω (t),

where the disturbance term ω ( t ) is (i) norm bounded, ie, ‖ ω ( t )‖ ∈ L ∞ ; and (ii) energy‐bounded, as considered in the works of Coutinho et al, ie, ω ( t ) belongs to L 2 [0, ∞ ). The reason is given as follows.…”

Section: Further Extensionmentioning

confidence: 99%

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Adaptive asymptotic stabilization of a class of unknown nonlinear systems with specified convergence rate

Zhang

Yang

2018

Intl J Robust & Nonlinear

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Summary This paper focuses on the asymptotic stabilization problem for a class of multivariable nonlinear systems with relative degree one, practical examples of which incorporate the liquid level control of water tanks, and the speed control of interconnected carts. The presence of the unknown (other than uncertain) additive and multiplicative nonlinearities renders asymptotic stability difficult to be achieved by the existing robust control methods. To conquer this obstacle, a novel adaptive control strategy is proposed. In the control design, the state constraint technique is newly introduced to the adaptive design to generate a proper control gain to compensate for unknown nonlinearities, instead of the use of extra approximating structures. By this means, both the prescribed transient performance regarding the convergence rate and the expected asymptotic stability are preserved. Finally, simulation results are given to illustrate the established theoretical findings.

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“…The aforementioned method is also suitable for the following perturbed nonlinear system:

\dot{x} = F (x) + G (x) u + ω (t),

Section: Further Extensionmentioning

confidence: 99%

“…where the disturbance term (t) is (i) norm bounded, ie, || (t)|| ∈ L ∞ ; and (ii) energy-bounded, as considered in the works of Coutinho et al, 42,43 ie, (t) belongs to L 2 [0, ∞). The reason is given as follows.…”

Section: Further Extensionmentioning

confidence: 99%

Adaptive asymptotic stabilization of a class of unknown nonlinear systems with specified convergence rate

Zhang

Yang

2018

Intl J Robust & Nonlinear

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“…Indeed, manual operation of a continuous bioreactor could lead to a large amount of unspent medium wasted in the outflow. In this cascade structure, the inner loop implements a feedback linearization [20,21] using on-line estimates of the biomass growth rate and the glucose uptake rate. As the kinetics are hard to model accurately since they might involve various highly nonlinear phenomena (also triggered by unmeasured metabolites), they are preferably represented (or lumped) as time-varying parameters that can be reconstructed using adequate on-line estimation schemes.…”

Section: Introductionmentioning

confidence: 99%

Experimental Validation of a Cascade Control Strategy for Continuously Perfused Animal Cell Cultures

et al. 2020

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This paper is dedicated to the experimental validation of a cascade control strategy for simultaneously regulating the glucose and biomass levels in continuously perfused HEK-293 cell cultures. The inner loop consists of a partial feedback linearization, which requires the estimation of the biomass specific growth rate and glucose uptake rate. This latter task is achieved by sliding mode observers, which do not require a priori process knowledge in the form of a process model. The linearized process is then regulated by the outer loop, including two classical PI controllers with autotuning. The four manipulated variables are a feed flow rate with low glucose concentration, another feed flow with a higher glucose content, a bleed flow, and a perfusion stream. The experimental results demonstrate the ability of the control strategy to reach and regulate the prescribed setpoints. The main advantage of the strategy is that it can be applied in a plug and play manner and shows satisfactory robustness. To the best of our knowledge, this is the first time that such a multivariable control strategy, together with sliding mode observers, is applied at the lab scale to an industrial process in the pharmaceutical sector.

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“…The LMI framework is a powerful tool for linear and nonlinear finitedimensional systems, since it can deal with a large diversity of control and systems theory problems such as robust stability, domain of attraction estimation, input-to-output performance, state or dynamic output-feedback control, and state estimation (see [6,7,32,18,13,24] among other references). As a result, LMIs have been successfully applied in a wide diversity of control oriented applications as, for instance, wind turbine operation, satellite attitude regulation, turbo-charged combustion engine control and bioprocess control and estimation [31,19].…”

Section: Introductionmentioning

confidence: 99%

Regional stability and stabilization of a class of linear hyperbolic systems with nonlinear quadratic dynamic boundary conditions

Caldeira

Prieur

Coutinho

et al. 2018

European Journal of Control

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This paper addresses the boundary control problem of fluid transport in a Poiseuille flow taking the actuator dynamics into account. More precisely, sufficient stability conditions are derived to guarantee the exponential stability of a linear hyperbolic differential equation system subject to nonlinear quadratic dynamic boundary conditions by means of Lyapunov based techniques. Then, convex optimization problems in terms of linear matrix inequality constraints are derived to either estimate the closed-loop stability region or synthesize a robust control law ensuring the local closed-loop stability while estimating an admissible set of initial states. The proposed results are then applied to application-oriented examples to illustrate local stability and stabilization tools.

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A robust non‐linear feedback control strategy for a class of bioprocesses

Cited by 16 publications

References 24 publications

Adaptive asymptotic stabilization of a class of unknown nonlinear systems with specified convergence rate

Adaptive asymptotic stabilization of a class of unknown nonlinear systems with specified convergence rate

Experimental Validation of a Cascade Control Strategy for Continuously Perfused Animal Cell Cultures

Regional stability and stabilization of a class of linear hyperbolic systems with nonlinear quadratic dynamic boundary conditions

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