Indirect fractional order pole assignment based adaptive control

Ladaci, Samir; Bensafia, Yassine

doi:10.1016/j.jestch.2015.09.004

Cited by 32 publications

(15 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The new PID control law is obtained by using the fractionalization of a control system element [1, 2,16], the integral operator 1/s is fractionalized as represented in Fig. 2, that is,…”

Section: Where Ur(s) Is An Input Signal E(s) Is An Error Signal Cmentioning

confidence: 99%

“…In the other hand, it has been proven that the use of fractional order systems which are long memory processes in feedback control systems, presents a certain benefit action on the system dynamical behavior and a good robustness effect against noises and perturbations [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…In [16], the authors propose a new FOC design based on a robust Fractionalized Adaptive PI control tuning method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Improved Robust Fractionalized PID Controller for a Class of Fractional-Order Systems with Measurement Noise

Bensafia¹,

Khettab²,

Idir³

2018

IJIES

Self Cite

View full text Add to dashboard Cite

Abstract:Recently, many research works have focused on fractional order control (FOC) and fractional systems. It has proven to be a good mean for improving the plant dynamics with respect to response time and disturbance rejection. In this paper we propose a new approach for robust control by fractionalizing an integer order integrator in the classical PID control scheme and we use the Sub-optimal Approximation of fractional order transfer function to design the parameters of PID controller, after that we study the performance analysis of fractionalized PID controller over integer order PID controller. The implementation of the fractionalized terms is realized by mean of well-established numerical approximation methods. Illustrative simulation examples show that the disturbance rejection is improved by 50%. This approach can also be generalized to a wide range of control methods.

show abstract

“…The new PID control law is obtained by using the fractionalization of a control system element [1, 2,16], the integral operator 1/s is fractionalized as represented in Fig. 2, that is,…”

Section: Where Ur(s) Is An Input Signal E(s) Is An Error Signal Cmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Improved Robust Fractionalized PID Controller for a Class of Fractional-Order Systems with Measurement Noise

Bensafia¹,

Khettab²,

Idir³

2018

IJIES

Self Cite

View full text Add to dashboard Cite

show abstract

“…To illustrate the main theoretical unsolved problems in mixed order adaptive control, we cite the recent works [10,11] where it is considered the adaptive pole placement problem. A Diophantine equation appears when the unknown integer order system is to match a fractional order system, involving no commensurate polynomials and hence the Bezout's Lemma is unsuited.…”

Section: Introductionmentioning

confidence: 99%

“…Our main contribution is to give a theoretical solution to the MRAC and pole placement adaptive problems in both direct and indirect approaches using this mixed perspective, for SISO linear systems of arbitrary finite dimension, giving analytic support to the simulation studies in [9][10][11] . In particular, we provide a generalization of the Bezout's Lemma in [17] for non-commensurate polynomials and a generalization of the fractional adjustment in [16] by adding a perturbation term in the error equation.…”

Section: Introductionmentioning

confidence: 99%

Mixed order robust adaptive control for general linear time invariant systems

Gallegos

Duarte‐Mermoud

Castro‐Linares

2018

Journal of the Franklin Institute

View full text Add to dashboard Cite

We provide a solution to the adaptive control problem of an unknown linear system of a given derivation order, using a reference model or desired poles defined in a possibly different derivation order and employing continuous adjustment of parameters ruled by possibly another different derivation order. To this purpose, we present an extension for the fractional settings of the Bezout's lemma and gradient steepest descent adjustment. We analyze both the direct and indirect approaches to adaptive control. We discuss some robustness advantages/disadvantages of the fractional adjustment of parameters in comparison with the integer one and, through simulations, the possibility to define optimal derivation order controllers.

show abstract