Comparative analysis of different fractional PID tuning methods for the first order system

Mehta, Sandip; Jain, Megha

doi:10.1109/ablaze.2015.7154942

Cited by 7 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fractional Calculus is a branch of mathematical analysis where the differentiation and integration are generalized to non-integer order fundamental operator a D α t . One of the generalized forms of the differ-integrator [5] can be represented as:…”

Section: Preliminary Concepts Basic Definitions For Fractional Calculusmentioning

confidence: 99%

“…The FOPID controller can be considered as an extension of the traditional PID controllers and is less sensitive to changes of its parameters. A general form of the controller in Laplace domain is given as [5]- [8], [26], [27], [37], [43], [44]: 9) where U (s) is the control signal, E(s) is the error signal, K p , K I , and K D are the proportional, integral, derivative constant gains, respectively; while λ and µ denote the fractional components: the order of fractional integration and order of the fractional derivative.…”

Section: Fractional Order Proportional Integral Derivative Controller Pi λ D µmentioning

confidence: 99%

“…However, although the FOPID controller using extra parameters does provide better control of the DC motor speed, the derivative kick exists whenever a sudden change to the setpoint occurs [5], [40], [41]. Again, placing the derivative block in the feedback path reported in [13] is a technique to tackle the derivative kick, but it changes the overall system transfer function, which is not desired.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Mitigation of Derivative Kick Using Time-Varying Fractional-Order PID Control

Lendek

Tan

2021

IEEE Access

View full text Add to dashboard Cite

In this paper, a novel approach for the design of a fractional order proportional integral derivative (FOPID) controller is proposed. This design introduces a new time-varying FOPID controller to mitigate a voltage spike at the controller output whenever a sudden change to the setpoint occurs. The voltage spike exists at the output of the proportional integral derivative (PID) and FOPID controllers when a derivative control element is involved. Such a voltage spike may cause a serious damage to the plant if it is left uncontrolled. The proposed new FOPID controller applies a time function to force the derivative gain to take effect gradually, leading to a time-varying derivative FOPID (TVD-FOPID) controller, which maintains a fast system response and significantly reduces the voltage spike at the controller output. The time-varying FOPID controller is optimally designed using the particle swarm optimization (PSO) or genetic algorithm (GA) to find the optimum constants and time-varying parameters. The improved control performance is validated through controlling the closed-loop DC motor speed via comparisons between the TVD-FOPID controller, traditional FOPID controller, and time-varying FOPID (TV-FOPID) controller which is created for comparison with all three PID gain constants replaced by the optimized time functions. The simulation results demonstrate that the proposed TVD-FOPID controller not only can achieve 80% reduction of voltage spike at the controller output but also is also able to keep approximately the same characteristics of the system response in comparison with the regular FOPID controller. The TVD-FOPID controller using a saturation block between the controller output and the plant still performs best according to system overshoot, rise time, and settling time.

show abstract

Section: Preliminary Concepts Basic Definitions For Fractional Calculusmentioning

confidence: 99%