This paper presents an improved resonant parametric perturbation method for controlling chaos. The control target can be any periodic orbit. Anti-control of chaos or chaotization is also possible using this method. Application of the method is illustrated for a common current-programmed dc/dc converter which can easily become chaotic for a wide parameter range. Keywords— Chaos control, resonant...

Single-loop methods based on the Karush–Kuhn–Tucker conditions are considered to be efficient reliability design optimization (RBDO) methods. The probabilistic performance functions converted deterministic for reducing computational burden of analysis. However, most probable target point (MPTP) estimated using steepest descent search directions diverges or oscillates highly nonlinear functions....

where n x∈R is the state vector, m u∈R is the control vector and : n m n f R ×R →R is a sufficiently smooth function. The first equation presents a continuous time dynamical system and the second one a discrete dynamical system. It is assumed that both equations show chaotic behavior. The techniques of chaos control can be categorized based on different view points. a) open-loop and closed-loop...

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...