Stabilizing region in dominant pole placement based discrete time PID control of delayed lead processes using random sampling

Das, Saptarshi; Halder, Kaushik

doi:10.1016/j.chaos.2022.112873

Cited by 5 publications

(7 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We fix w = 0.1 in Eq (39) during the optimization process, so that the dominant pole placement criteria is emphasized over minimizing the ISE criteria for unit set-point change to enable post-hoc filtering of the obtained solutions using other closed loop performance metrics. Detail description of the parameters for the optimization design are reported in [ 24 , 25 , 38 ]. However, analyzing the computational complexity of the proposed controller design approach is beyond the scope of this paper.…”

Section: Simulations and Resultsmentioning

confidence: 99%

“…This paper proposes a dominant pole placement based filtered PID controller design methodology for handling a general class of SOPTDZ process which has more complex dynamics, as compared to the first order plus time delay with zero (FOPTDZ) [ 38 ] and SOPTD models [ 23 – 25 ]. The proposed controller ensures robust stability and performance where the robust stabilizable region has been obtained in the controller and design parameter space, using random search and optimization technique.…”

Section: Discussionmentioning

confidence: 99%

“…By minimizing the set-point tracking performance measure i.e. ISE criterion [ 23 – 25 , 38 ], PSO based random search approach is used. However, it is well known that a controller is said to be fragile if small perturbations in the controller parameters cause the closed loop system with a fixed (nominal) plant to become unstable.…”

Section: Discussionmentioning

confidence: 99%

“…In order to handle fixed delayed SOPTDZ processes [37], this work proposes a novel filtered PID controller design method, based on dominant pole placement concept by extending related previous works on SOPTD process models without any lead or zero [23][24][25], delay free systems [32,33] and first order plus time delay with zero (FOPTDZ) [38]. The characteristic equation becomes quasi-polynomial due to the inclusion of the time delay factor.…”

Section: Novelty Of the Present Workmentioning

confidence: 99%

“…N Pade = 1 to N Pade = 10 when all the plants are controlled by a filtered PID controller that is designed with all complex-conjugate non-dominant pole types with m only present in the real part. Using (37), Fig 7 shows the trade-off between magnitude plots of the sensitivity |S e (jω)| and complementary sensitivity |T (jω)| functions [23][24][25]. The high-pass characteristics of the sensitivity and the low-pass characteristics of the complementary sensitivity are related to their ability to reject noise and PLOS ONE disturbances, respectively.…”

Section: Time Domain and Frequency Domain Responsesmentioning

confidence: 99%

See 4 more Smart Citations

Stabilizing regions of dominant pole placement for second order lead processes with time delay using filtered PID controllers

Halder,

Das

2024

PLoS ONE

Self Cite

View full text Add to dashboard Cite

In order to handle second order lead processes with time delay, this paper provides a unique dominant pole placement based filtered PID controller design approach. This method does not require any finite term approximation like Pade to obtain the quasi-polynomial characteristic polynomial, arising due to the presence of the time delay term. The continuous time second order plus time delay systems with zero (SOPTDZ) are discretized using a pole-zero matching method with specified sampling time, where the transcendental exponential delay terms are converted into a finite number of poles. The pole-zero matching discretization approach with a predetermined sampling period is also used to discretize the continuous time filtered PID controller. As a result, it is not necessary to use any approximate discretization technique, such as Euler or Tustin, to derive the corresponding discrete time PID controller from its continuous time counterpart. The analytical expressions for discrete time dominant pole placement based filtered PID controllers are obtained using the coefficient matching approach, while two distinct kinds of non-dominant poles, namely all real and all complex conjugate, have been taken into consideration. The stabilizable region in the controller and design parameter space for the chosen class of linear second order time delay systems with lead is numerically approximated using the particle swarm optimization (PSO) based random search technique. The efficacy of the proposed method has been validated on a class of SOPTDZ systems including stable, integrating, unstable processes with minimum as well as non-minimum phase zeros.

show abstract

Section: Simulations and Resultsmentioning

confidence: 99%