PI control of continuously stirred tank reactors: stability and performance

Hybrid genetic algorithm-swarm intelligence based tuning of continuously stirred tank reactor

“…Few of the research findings are given in this section. Jose Alvarez-Ramirez et.al proposed proportionalintegral (PI) control of continuously stirred tank reactors (CSTR) [5]. The main ingredient in the formulation is the use of the PI control configuration that was derived from modeling of error compensation ideas.…”

Passivity-based nonlinear control of CSTR via asymptotic observers

“…Let us note that possible steady states are calculated by considering that all time derivatives vanish and that there may be more than one stationary solution to the problem (Favache & Dochain, 2010). An additional assumption (used in Viel et al (1997), Alvarez-Ramírez & Morales (2000), Antonelli & Astolfi (2003) or recently Favache & Dochain, 2010) is considered:…”

“…The problem first consists of choosing an appropriate closed loop Hamiltonian storage function H d ðxÞ. Let us note that in previous works (Alvarez-Ramírez & Morales, 2000;Viel et al, 1997), a Lyapunov function candidate based on thermal deviation 1 2 ðT À T d Þ 2 is considered for the temperature stabilization problem. Farschman and coworkers in Farschman et al (1998) have proposed an inventory-based quadratic storage function 1 2 ðx À x d Þ 2 for control of chemical process systems.…”

“…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.…”

Multi Objective Optimization of Multi Component Isothermal Liquid-Phase Kinetic Sequence using Multivariable PI Control

“…In the recent years, Control of chemical reaction procedure attract many researchers and they used different control methods to control the nonlinear manner of chemical reactions such as including feed-back linearization, sliding mode control, adaptive/neural control and nonlinear model predictive control [1], [2], [3], [4], [5]. Seshagiri and Khalil developed a new "conditional integrator" approach to the design of robust output regulation for multi-input multioutput (MIMO) minimum phase nonlinear systems transformable into the normal form, uniformly in a set of constant disturbances and uncertain parameters [6] and later they showed that this method tuned saturated PI/PID type controller with an anti-windup structure in some cases [7].…”