Nonlinear adaptive control with parameter estimation of a CSTR

The objective of this work is to make use of methodologies and tools from nonlinear Lyapunov theory in the design of bounded control laws for the temperature stabilisation of Continuous Stirred Tank Reactors (CSTRs) with exothermic or endothermic reactions. Simple output feedback control laws, i.e. control laws that feed back o n l y t h e a vailable measurements, are designed. It is shown that these controllers yield Global Asymptotic Stability (GAS) and do not require precise knowledge of the system parameters. The capabilities of the proposed method to handle control input constraints and model uncertainty are also discussed. The work is then completed with the analysis of two case studies: the classical rst order irreversible reaction A ! B and the more complex van der Vusse reaction mechanism.

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“…( ) = l n ( u ; ) = k ; ln( ; u) ( +1)=k (28) with k > 0, = u ss ; u u ; u < 0 and + 1 > 0. Note that V (z) + !…”

Section: A Preliminary Resultsmentioning

confidence: 99%

“…Lyapunov-based adaptive linearising techniques have been successively developed 1,2,28]. First, global stabilisation by state feedback of a reactor with an exothermic reaction was proved 1].…”

Section: Introductionmentioning

confidence: 99%

Continuous stirred tank reactors: easy to stabilise?

Antonelli

Astolfi

2003

Automatica

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“…If such jacket temperature is taken as the manipulated control input (this introduces further complications in the actuation process with respect to the cooling water flow rate as manipulated control input) and the reactor temperature is taken as the output, then the control law, corresponding to u 1 (t) in Proposition 1, obtained by exact I/O linearization method is global (the denominator T C,in − T J (t) is no more present) and the overall control system is asymptotically stable (see [16] and references therein). In this case the ISS feedback control law is obtained by adding to the I/O linearizing feedback u 1 (t) (see (15) and (18) in [16]), the further control input…”

Section: A New Nonlinear Feedback Control Lawmentioning

confidence: 99%

ISS feedback redesign for disturbance attenuation in continuous stirred tank reactors

Ciccio

Pepe

Foscolo

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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In this paper a nonlinear feedback control law for a continuous stirred tank reactor (CSTR), obtained by exact I/O linearization and Sontag's ISS (input-to-state stability) feedback redesign methods, is studied. By the new feedback control law, local ISS of the overall control system with respect to unknown actuation disturbances is achieved. A significant attenuation of the disturbance is guaranteed, with evident improvement with respect to control laws obtained by the exact I/O linearization method. The performed simulations validate the theoretical results.

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“…Kosanovich et al 1995 proposed a Lyapunov-based, linearizing feedback adaptive control structure for a CSTR with unknown parameters. However, their approach requires that unknown parameters appear linearly in the model .…”

Section: Introductionmentioning

confidence: 99%

Robust PI stabilization of a class of continuously stirred‐tank reactors

Alvarez-Ramı́rez

1999

AIChE Journal

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Nonlinear adaptive control with parameter estimation of a CSTR

Cited by 37 publications

References 12 publications

Continuous stirred tank reactors: easy to stabilise?

Continuous stirred tank reactors: easy to stabilise?

ISS feedback redesign for disturbance attenuation in continuous stirred tank reactors

Robust PI stabilization of a class of continuously stirred‐tank reactors

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