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
On the solutions of the heat, wave and Laplace equations with nonlocal conditions
In this paper, we present a new approach to solve nonlocal initial- boundary value problems for heat, wave and Laplace equations subject to initial, final and nonlocal boundary conditions of integral type. We first trans...
An Interactive Dynamic Fuzzy Goal Programming for Bi-level Multiobjective Linear Fractional Programming Problems.
This paper presents an interactive dynamic fuzzy goal programming (DFGP) approach for solving bi-level multiobjective linear fractional programming (BL MOLFP) problems with the characteristics of dynamic programming (DP)...
On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems
In this work, a principle for getting heteroclinic orbit of a dynamical system has been proposed when the solution is known in a compact form. The proposed principle has been tested through its application to a three spe...
Optimization of insurance broker's investment, consumption and the probability of survival with constant rate of return under exponential utility function
In this study, we take the risk reserve of an insurance broker to follow Brownian motion with drift and tackle an optimal portfolio selection problem of the company. The investment case considered was insurance broker th...
REGIONAL EXPONENTIAL GENERAL OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS
The purpose of this paper is to explore the concept of regional exponential general observability for a class of distributed parameter systems, in connection with the regional strategic sensors. Then, we give characteriz...