Semi‐adaptive control of convexly parametrized systems with application to temperature regulation of chemical reactors

Fradkov, Alexander L.; Ortega, Roméo; Bastin, G.

doi:10.1002/acs.634

Cited by 43 publications

(21 citation statements)

References 15 publications

(19 reference statements)

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“…With respect to existing robust stabilization results avail-Ž able in the literature Viel et al, 1997;Fradkov et al, 1997; . Kosanovich et al, 1995 , we make the following extensions:…”

Section: Introductionmentioning

confidence: 95%

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

Alvarez-Ramı́rez

1999

AIChE Journal

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“…With respect to existing robust stabilization results avail-Ž able in the literature Viel et al, 1997;Fradkov et al, 1997; . Kosanovich et al, 1995 , we make the following extensions:…”

Section: Introductionmentioning

confidence: 95%

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

Alvarez-Ramı́rez

1999

AIChE Journal

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“…In [9], a semi-adaptive state feedback controller where adaptation only takes place in the region of the state space where convexity can be used to reduce parameter uncertainty is applied to the CSTR system. In the remaining part of the state space the controller would freeze the adaptation law and switch to a robust controller.…”

Section: Introductionmentioning

confidence: 99%

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

Hong

Liu

2015

Control Theory Technol.

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An immersion and invariance (I&I) manifold based adaptive control algorithm is presented for a class of continuous stirred tank reactors (CSTR) to realize performance-oriented control in this paper. The nonlinear contraction method is combined into the control law design to render the closed-loop CSTR system globally asymptotically stable, firstly. Then, the I&I method is used to form the adaptation law such that the off-the-manifold coordinate (the parameter estimation error) converges to zero using P-monotone property enforced by selecting tuning function in manifold. As a result, the state of the closed-loop CSTR converges to its desired value asymptotically. The simulation is given to illustrate the effectiveness of the presented algorithm.

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“…In this regard, previous studies have been focused on providing a theoretical backup to the existing and proposed control strategies. Fradkov et al [1] studied the viability of defining a stabilizing parameter update law for the case of a reaction kinetics that is convex on the unknown parameters. The drawback of this scheme is that it requires knowledge of the parameter structure and concentration measurement.…”

Section: Introductionmentioning

confidence: 99%

Linear PI control of batch exothermic reactors with temperature measurement

Alvarez-Ramı́rez

Álvarez

2005

Intl J Robust & Nonlinear

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SUMMARYA wide variety of speciality materials and fine chemicals such as plastics, pharmaceutical and microelectronics components are produced in batch reactors. The nonlinear, transient and finite-time features of the batch reactors give rise to complex process and control design problems. In particular, the safe operation of exothermic reactors depends on the adequate functioning of a temperature tracking controller, and to a good extent, the same is true for the attainment of a suitable compromise between productivity and product quality attributes. While the stabilization problem of continuous exothermic chemical reactors has been recently addressed with rigorous asymptotic-stability methods, the same kind of studies have not yet been performed for the finite-time batch reactor case. In this paper, the problem of designing a temperature tracking controller for an exothermic batch reactor, with n species and m reactions, is addressed under the following premises: (i) only the reactor temperature is measured, (ii) the (typically uncertain) reaction rate and heat exchange nonlinear functions are unknown, (iii) the controller must be linear and easy to tune, and (iv) the closed-loop reactor motion must be stable in a suitable sense. The combination of industrial-oriented inventory control concepts in conjunction with singular perturbation results yields a linear controller with a combined feedforward-PI feedback structure, antireset windup scheme, and conventional-like tuning rules. The controller: (i) tracks, arbitrarily fast and close, a prescribed temperature trajectory, with admissibly deviated concentration motions, and (ii) quickly recovers the behaviour of an exact model-based nonlinear I/O linearizing controller. The proposed design is put in perspective with the geometric and IMC nonlinear control approaches.

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Semi‐adaptive control of convexly parametrized systems with application to temperature regulation of chemical reactors

Cited by 43 publications

References 15 publications

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

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

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

Linear PI control of batch exothermic reactors with temperature measurement

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