Design of adaptive sliding mode controller for synchronization of chaos in system of Rossler in presence of uncertainty parameters
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 2
Abstract
Many of the proposed approaches for nonlinear systems control are developed under the assumption that all involved parameters are known. However, the system uncertainties are always unavoidable and some system parameters cannot be exactly known in the most part of the cases. In this paper, a adaptive controlscheme is proposed to system is able to achieve the control objective regardless the parametric uncertainties of the model and the lack of a priori knowledge on the system. Also, is applied the adaptive sliding mode control for synchronization of chaos in system of Rossler in presence of unknown parameters. First, suppose that there are no parameter uncertainties in the system model. Then, this condition is removed while an adaptive sliding mode control system is designed. The advantages of obtaining such a motion are twofold: firstly the system behaves as a system of reduced order with respect to the original plant; and secondly the movement on the sliding surface of the system is insensitive to a particular kind of perturbation and model uncertainties.
Authors and Affiliations
Siroos Nazari, Sajjad Kazemi, Hadis Mokhtavay
Keywords
Related Articles
- EP ID EP651472
- DOI 10.24297/jam.v10i2.1461
- Views 126
- Downloads 0
On the Three-Parameter Burr Type XII Distribution and its Application to Heavy Tailed Lifetime Data
This paper identifies the characteristics of three-parameter Burr Type XII distribution and discusses its utility in survivorship applications. It addresses the problem of estimating the three-parameter Burr XII distribu...
Concomitants of Record Values From a General Farlie-Gumbel-Morgenstern Distribution
In this paper, we discuss the distributions of concomitants of record values arising from a polynomial-type single parameter extension of general Farlie-Gumbel-Morgenstern bivariate distribution. We derive the single and...
On pseudo-slant submanifolds of nearly trans-Sasakian manifolds
This paper consist the study of pseudo-slant submanifolds of nearly trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out. Some interesting results regarding such ma...
Fourier Series Expansions of Powers of the Trigonometric Sine and Cosine Functions
In this paper, Fourier series expansions of powers of sine and cosine functions are established for any possible power real or complex or positive integer. Recurrence relations are established to facilities the computati...
DYNAMICAL CHAOS IN 6 ï† -RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN AN AMPLITUDE MODULATED FORCE.
Chaotic behavior of6 ï† -Rayleigh oscillator with three wells is investigated. The method of multiple scale method is usedto solve the system up to 3rd order approximation. Effect of parameters is studied numerically; a...