This paper studied the implementation of fractional order PID controller for the control of an induction motor (IM). The perfection of the system performance in terms of response time and robustness is illustrated by adjusting the fractional order integral action and derivative action. A comparative study with a conventional PID controller is carried out. The observer is simple and robust, and ...

In this paper, the problem of fractional-order linear systems’ simultaneous fault detection and reliable control (SFDC) in finite frequency domain is investigated. A dynamic observer aimed at detecting faults designed, which also generates state estimation signals. particular, it found that proposed dynamic-observer-based controller can achieve a better H∞ performance. We derived detector contr...

In this paper, we used Lyapunov theory and Linear Matrix Inequalities (LMI) to design a generalized observer by adding more complexity in the output of dynamic systems. Our designed is based on optimization problem, minimizing error between trajectories master slave systems subject incremental quadratic constraint. Moreover, an algorithm given our paper demonstrate method for obtaining desired ...

In this paper, the performance of two adaptive observers applied to interconnected systems is studied. The nonlinearity of systems can be written in a fractional form. The first adaptive observer is an adaptive sliding mode observer for a Lipchitz nonlinear system and the second one is an adaptive sliding mode observer having a filtered error as a sliding surface. After comparing their performa...

in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...