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Generic Noninteger Order Controller for Time-Delay Systems

2021; Hindawi Publishing Corporation; Volume: 2021; Linguagem: Inglês

10.1155/2021/9968145

1563-5147

Sami Hafsi, Sadem Ghrab, Kaouther Laabidi,

Advanced Control Systems Optimization

This paper focuses on the problem of fractional controller P I stabilization for a first-order time-delay systems. For this reason, we utilize the Hermite–Biehler and Pontryagin theorems to compute the complete set of the stabilizing P I λ parameters. The widespread industrial utilization of PID controllers and the potentiality of their noninteger order representation justify a timely interest in P I λ tuning techniques. Step responses are calculated through K p , K i , l a m b d a parameters inside and outside stability region to prove the method efficiency.