Thermodynamics based stability analysis and its use for nonlinear stabilization of the CSTR

•A tutorial description of the thermodynamic availability concept.•Its use for open loop dynamic analysis of the non-isothermal CSTR.•Its use for Lyapunov based control laws derivation of the non-isothermal CSTR.•Illustration of the performances of the controller by simulations.•Comparison of the co...

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Vydané v:Computers & chemical engineering Ročník 58; s. 156 - 177
Hlavní autori: Hoang, N.H., Couenne, F., Jallut, C., Le Gorrec, Y.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Kidlington Elsevier Ltd 11.11.2013
Elsevier
Predmet:
Applied sciences
Automatic
Automatic Control Engineering
Availability
Chemical and Process Engineering
Chemical engineering
Chemical Sciences
Computer Science
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
CSTR, Stability
Engineering Sciences
Entropy
Exact sciences and technology
Lyapunov function
Metrology, automation
Nonlinear control
Reactors
Availability
Entropy
CSTR, Stability
Nonlinear control
Lyapunov function
Hydration
Control program
Non linear control
Epoxy resin
Glycerol
Control synthesis
Thermodynamic stability
Continuous stirred tank reactor
Stirred tank reactor
Closed feedback
Multiplicity of steady states
Thermodynamics
Proportional control
Chemical reaction
Non isothermal condition
Open loop
Thermodynamic analysis
Aqueous solution
Monitoring
ISSN:0098-1354, 1873-4375
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Shrnutí:•A tutorial description of the thermodynamic availability concept.•Its use for open loop dynamic analysis of the non-isothermal CSTR.•Its use for Lyapunov based control laws derivation of the non-isothermal CSTR.•Illustration of the performances of the controller by simulations.•Comparison of the controller with a proportional one. We show how the availability function as defined from the entropy function concavity can be used for the stability analysis and derivation of control strategies for non-isothermal Continuous Stirred Tank Reactors (CSTRs). We first propose an overview of the required thermodynamic concepts. Then, we show how the availability function restricted to the thermal domain can be used as a Lyapunov function. The derivation of the control law and the way the strict entropy concavity is insured are discussed. Numerical simulations illustrate the application of the theory to the open loop stability analysis and the closed loop control of liquid-phase non-isothermal CSTRs. The proposed approach is compared with the classical proportional control strategy. Two chemical reactions are studied: the acid-catalyzed hydration of 2-3-epoxy-1-propanol to glycerol subject to steady state multiplicity and the production of cyclopentenol from cyclopentadiene by acid-catalyzed electrophilic addition of water in dilute solution exhibiting a non-minimum phase behavior.
ISSN:0098-1354
1873-4375
DOI:10.1016/j.compchemeng.2013.06.016