# Use of Simulated Annealing for Adaptive Control System

Tran Trong Dao (Department of Science-Technology, Cooperation and Postgraduate Studies, Ton Duc Thang University, Ho Chi Minh City, Vietnam), Ivan Zelinka (Department of Computer Science, Technical University of Ostrava (VSB-TU), Ostrava, Czech Republic) and Vo Hoang Duy (Department of Control Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam)
DOI: 10.4018/ijeoe.2013070103

## Abstract

This work deals with using a method of artificial intelligence, mainly the generic probabilistic meta-algorithm can be used in such a difficult task which is analyzed and control of dynamical systems. Simulated annealing (SA) is used in this investigation. The adaptive control system was used in simulations with optimization by Simulated Annealing and the results are presented in graphs.
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## Mathematical Problems

Consider a CSTR with the first order consecutive exothermic reaction according to the scheme and with a perfectly mixed cooling jacket. Using the usual simplifications, the model of the CSTR is described by four nonlinear differential equations [6][7].

(Babu & Angira, 2001a)
(Back, Fogel, & Michalewicz, 1997)
(Nauman, n.d.)
(Dieu, Ngoc, & Schegner, 2012)with initial conditions and Here, t is the time, c are concentrations, T are temperatures, V are volumes, ρ are densities, cp are specific heat capacities, Q are volumetric flow rates, Ah is the heat exchange surface area and U is the heat transfer coefficient. The subscripts are denoted (.)r for the reactant mixture, (.)c for the coolant, (.)i for feed (inlet) values and the superscript (.)s for steady-state values. The reaction rates and the reaction heat are expressed as
(Dasgupta & Michalewicz, 1997)
(Dostál, Bobál & Blaha, 2001)Where k0 are pre-exponential factors, E are activation energies and h are reaction entalpies. The values of all parameters, feed values and steady-state values are given in Table 1 [7].

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