The fractional - order controllers: Methods for their synthesis and application
نویسنده
چکیده
This paper deals with fractional-order controllers. We outline mathematical description of fractional controllers and methods of their synthesis and application. Synthesis method is a modified root locus method for fractional-order systems and fractionalorder controllers. In the next section we describe how to apply the fractional controller on control systems.
منابع مشابه
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
In this paper, a new numerical method for solving the fractional Riccati differential equation is presented. The fractional derivatives are described in the Caputo sense. The method is based upon fractional-order Bernoulli functions approximations. First, the fractional-order Bernoulli functions and their properties are presented. Then, an operational matrix of fractional order integration...
متن کاملLoad Frequency Control of Microgrids Using Fuzzy Type-2 Order Fractional Controller
Abstract: Restructuring in the electricity industry, global warming and environmental concerns about power plant pollution, energy price fluctuations have fueled the emergence of renewable energy in the electricity industry. In the last three decades, scattered energy sources, which are both economically and economically more suitable for the production of pollutants, have been used to supply e...
متن کاملControl quality enhancement by fractional order controllers
PID controllers belong to the dominating industrial controllers (Leššo, 1997) and therefore there is a continuous effort to improve their quality and robustness. One of the possibilities to improve PID controllers is to use fractional order controllers with non integer derivation and integration parts. The controlled objects are generally of fractional order, however for many of them, the fract...
متن کاملDesigning a Fractional Order PID Controller for a Two-Area Micro-Grid under Uncertainty of Parameters
Increasing the number of microgrids has raised the complexity and nonlinearity of the power system and conventional controllers do not present acceptable efficiency in a wide range of operation points. In this study, a fractional order proportional–integral–derivative controller optimized with hybrid grey wolf-pattern search algorithm is used to control the frequency of each area of the microgr...
متن کاملStability and Robust Performance Analysis of Fractional Order Controller over Conventional Controller Design
In this paper, a new comparative approach has been proposed for reliable controller design. Scientists and engineers are often confronted with the analysis, design, and synthesis of real-life problems. The first step in such studies is the development of a 'mathematical model' which can be considered as a substitute for the real problem. The mathematical model is used here as a plant. Fractiona...
متن کامل