Power-shaping control of reaction systems: The CSTR case

Favache, Audrey; Dochain, Denis

doi:10.1016/j.automatica.2010.07.011

Cited by 70 publications

(42 citation statements)

References 20 publications

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“…As a consequence, a Lyapunov function candidate can be assigned to the total energy and passivity can then be related to energy dissipation due to friction or resistance. Unfortunately, the link between Lyapunov stability theory and the energy of chemical reactive systems is far from being understood at present (Alvarez, Alvarez-Ramírez, Espinosa-Perez, & Schaum, 2011;Favache & Dochain, 2010). This topic has therefore been an active research area (Hangos, Bokor, & Szederkényi, 2001;Hoang, Couenne, Jallut, & Le Gorrec, 2012;Hudon & Bao, 2012;Ramírez, Sbarbaro, & Ortega, 2009).…”

Section: Introductionmentioning

confidence: 96%

“…CSTRs may exhibit nonminimum phase behavior (Niemiec & Kravaris, 2003), instability and multiple steady states (Favache & Dochain, 2010;Viel, Jadot, & Bastin, 1997). Studies on CSTRs have investigated control synthesis for stabilization (Alvarez et al, 2011;Favache, Dochain, & Winkin, 2011;Georgakis, 1986;Hoang, Couenne, Jallut, & Le Gorrec, 2011; and state observer design (Alvarez-Ramírez, 1995;Dochain, Couenne, & Jallut, 2009;Gibon-Fargeot, Hammouri, & Celle, 1994;Soroush, 1997).…”

Section: Introductionmentioning

confidence: 99%

“…Numerous control strategies have been developed to achieve this objective. Input/ output feedback linearization (Viel et al, 1997) for control under constraints, nonlinear PI control (Alvarez-Ramírez & Morales, 2000), direct Lyapunov based control (Antonelli & Astolfi, 2003), (pseudo) Hamiltonian framework (Dörfler, Johnsen, & Allgöwer, 2009;Hangos et al, 2001;Hoang et al, 2011;Ramírez et al, 2009), power/energy-shaping control (Alvarez et al, 2011;Favache & Dochain, 2010), inventory control (Farschman, Viswanath, & Ydstie, 1998) and dissipativity based decentralized control of interconnected chemical reactors (Hudon, Höffner, & Guay, 2008;Hudon & Bao, 2012) provide some examples. Thermodynamics/physics based control has also been proposed to the stabilization of chemical reactors in Georgakis (1986), Ydstie and Alonso (1997) and more recently in using the availability function as its point of departure.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Passivity-based nonlinear control of CSTR via asymptotic observers

Hoang

Couenne

Gorrec

et al. 2013

Annual Reviews in Control

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a b s t r a c tThis work makes use of a passivity-based approach (PBA) and tools from Lyapunov theory to design a nonlinear controller for the asymptotic stabilization of a class of nonisothermal Continuous Stirred Tank Reactors (CSTR) around any desired stationary point. The convergence and stability proofs are derived in the port Hamiltonian framework. Asymptotic observers that do not require knowledge of reaction kinetics are also proposed for a system with incomplete state measurement. Numerical simulations are given to illustrate the application of the theoretical results to a CSTR with multiple steady states.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Passivity-based nonlinear control of CSTR via asymptotic observers

Hoang

Couenne

Gorrec

et al. 2013

Annual Reviews in Control

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show abstract

“…The next step is to observe the similarity of Eq. (27) above with the transfer rate equation (23). In the case of q (j) convt the driving force becomes…”

Section: The Intensive Variable Form Of the Balance Equationsmentioning

confidence: 99%

“…Furthermore, the inventory control scheme was also extended with local nonlinear controllers (see [20] and [21]) to construct stabilizing controllers to arbitrary steady-state points. Further improvements of the physically motivated nonlinear controller design have been achieved by using passivity [22], control Lyapunov [23] and Hamiltonian approaches [24,25,26] to nonlinear process systems.…”

Section: Introductionmentioning

confidence: 99%

A model structure-driven hierarchical decentralized stabilizing control structure for process networks

Hangos

Szederkényi

2014

Journal of Process Control

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Based on the structure of process models a hierarchically structured statespace model has been proposed for process networks with controlled mass convection and constant physico-chemical properties. Using the theory of cascade-connected nonlinear systems and the properties of Metzler and Hurwitz matrices it is shown that process systems with controlled mass convection and without sources or with stabilizing linear source terms are globally asymptotically stable. The hierarchically structured model gives rise to a distributed controller structure that is in agreement with the traditional hierarchical process control system structure where local controllers are used for mass inventory control and coordinating controllers are used for optimizing the system dynamics. The proposed distributed controller is illustrated on a simple non-isotherm jacketed chemical reactor.

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Integration of inventory control into the port‐Hamiltonian framework for dissipative stabilization of chemical reactors

Hoang

Ydstie

2022

Asian Journal of Control

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This work integrates passivity‐based inventory control with the port‐Hamiltonian framework to design stabilizing feedback laws for lumped parameter chemically reacting systems. A static state feedback law with admissible controls is developed using an inventory‐related storage function as a closed loop Hamiltonian function. The control gain matrix is derived from the interconnection and damping matrices of the resulting Hamiltonian representation. Consequently, the proposed controller globally and exponentially stabilizes the system at a desired set‐point (including the open loop unstable equilibrium point) without restrictions on the reaction kinetics. Numerical simulations illustrate the application of the theory to a nonisothermal, continuous stirred tank reactor with the steady‐state multiplicity. The proposed approach is compared with the thermodynamic availability‐based control approach in terms of amplitude and variation rate to show its performance and effectiveness.

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Power-shaping control of reaction systems: The CSTR case

Cited by 70 publications

References 20 publications

Passivity-based nonlinear control of CSTR via asymptotic observers

Passivity-based nonlinear control of CSTR via asymptotic observers

A model structure-driven hierarchical decentralized stabilizing control structure for process networks

Integration of inventory control into the port‐Hamiltonian framework for dissipative stabilization of chemical reactors

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