Smith Predictor Based Fractional‐Order‐Filter PID Controllers Design for Long Time Delay Systems

Abstract

In this paper, an original model‐based analytical method is developed to design a fractional order controller combined with a Smith predictor and a modified Smith predictor that yield control systems which are robust to changes in the process parameters. This method can be applied for integer order systems and for fractional order ones. Based on the Bode's ideal transfer function, the fractional order controllers are designed via the internal model control principle. The simulation results demonstrate the successful performance of the proposed method for controlling integer as well as fractional order linear stable systems with long time delay.

Unscented Kalman filter for continuous‐time nonlinear fractional‐order systems with process and measurement noises

“…Recently, the fractional-order calculus has been widely used in the physical mechanics [3], the biomedical science [4] and the automatic control [5] and so on. The development in the field of control is particularly rapid, such as fractional-order PID control [6], fractional-order sliding mode control [7] and iterative learning control [8].…”

Positional control of rotary servo cart system using generalized dynamic inversion

“…However, the influence of chattering on the control signal is inevitable and therefore the selection of controller gain is a trade-off between smooth control action and tracking control accuracy. Besides these, state feedback based Fractional order controller is also designed for better tracking performance of servo cart system [16][17][18].…”

Algebraic Conditions for Stability Analysis of Linear Time‐Invariant Distributed Order Dynamic Systems: A Lagrange Inversion Theorem Approach

“…This calculus has found various applications in several scientific fields since its emergence, including applications in biology [1,2], economics [3] and viscoelastic materials [4,5]. Today, fractional calculus is frequently encountered in diffusion equations [6][7][8], and it is widely used in electrical circuit theory and design [9,10], as well as control systems [11][12][13][14][15][16].…”