in this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. the reactor shows chaotic behavior for a certain set of reactor parameters. in order to control the product concentration, an optimal state feedback controller has been designed. since concentrations of reactor species are not measured, an obser...

in this paper, controlling the gyros with linear plus cubic damping is considered. hence, an adaptive control algorithm is proposed to overcome the uncertainties in model parameters and the chaotic behavior of gyroscopes. it is noted that for general applications dynamic model coefficient of gyros is not precisely determined, on the other hand, with respect to a particular coefficient gyroscope...

in this paper, a reaction system consisting of two parallel, non-isothermal autocatalytic reactions in a continuous stirred tank reactor (cstr) has been considered. reactor chaotic behavior is possible for certain values of system parameters. two types of controllers are designed and compared in order to control both the reactor temperature and the product concentration. the first controller is...

The nonlinear behavior analysis and chaos control for Duffing-Holmes chaotic system is discussed in the paper. In order to suppress the irregular chaotic motion, an optimal backstepping controller is designed. The backstepping method consists of parameters with positive values. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the syste...

this paper introduces a technique for controlling a class of uncertain chaotic systems using an adaptive fuzzy proportional-integrator-derivative (pid) controller with h∞ tracking performance. the purpose of this work is to achieve optimal tracking performance of the controller using backtracking search algorithm (bsa). bsa, which is a novel heuristic algorithm, has an easy structure with singl...

A brief survey of the emerging field termed ”Control of Chaos” is given based on about 200 publications in peer reviewed journals. Three major branches of research are discussed in detail: ”nonfeedback control” (based on periodic excitation of the system); ”OGY method” (based on linearization of Poincar é map) and ”Pyragas method” (based on a time-delay feedback). Some unsolved problems concern...

One of the most attractive and important field of chaos theory is control of chaos. In this paper, we try to present a simple framework for chaotic motion control using the feedback linearization method. Using this approach, we derive a strategy, which can be easily applied to the other chaotic systems. This task presents two novel results: the desired periodic orbit need not be a solution of t...

In this paper, we derive new results for global chaos control of chaotic systems via sliding control. We also explore the analysis and global chaos control of the hyperchaotic Li system (2005) using sliding control. The global chaos control results via sliding control have been established using Lyapunov stability theory. Numerical simulations using MATLAB are shown to validate and depict the e...