The Parameter Optimization of the PID and PIDD Controller for a Discrete Object

Zhmud, Vadim; Hardt, Wolf‐Dietrich; Stukach, Oleg V.; Dimitrov, L.; Nosek, J.

doi:10.1109/dynamics47113.2019.8944718

Cited by 2 publications

(2 citation statements)

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“…An overview of the situation is given in [3]. Just some of the examples are [4,5]. The solution of designing a discrete controller for a discrete plant is discussed in [4].…”

Section: Introductionmentioning

confidence: 99%

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Discrete-Time System Conditional Optimization Based on Takagi–Sugeno Fuzzy Model Using the Full Transfer Function

et al. 2022

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The study proposes a novel method for synthesis of a discrete-time parallel distributed compensation (PDC) controller for the nonlinear discrete-time Takagi–Sugeno (TS) fuzzy plant model. For each of the fuzzy plant model linear subsystems, a local linear first order proportional-sum (PS) controller is designed. The algebraic technique is used in two-dimensional parameter space, utilizing the characteristic polynomial of the row nondegenerate full transfer function matrix. Each system’s relative stability is accomplished in relation to the selected damping coefficient. The supplementary criterion is the minimal value of the performance index in the form of the sum of squared errors (SSE). However, unlike the traditional technique, output error is impacted by all simultaneous actions on the system: nonzero inputs and nonzero initial conditions. The full transfer function matrix of the system allows for the treatment of simultaneous actions of the input vector and unknown unpredictable initial conditions. In order to show the improvement caused by the application of a new optimization method that considers nonzero initial conditions, a comparison of PDC controllers designed under zero and nonzero initial conditions is given, where the system in both cases starts from the same nonzero initial conditions, which is often the case in practice. The simulation and experimental results on a DC servo motor are shown to demonstrate the suggested method efficiency.

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“…An overview of the situation is given in [3]. Just some of the examples are [4,5]. The solution of designing a discrete controller for a discrete plant is discussed in [4].…”

Section: Introductionmentioning

confidence: 99%

“…Just some of the examples are [4,5]. The solution of designing a discrete controller for a discrete plant is discussed in [4]. Paper [5] proposes a control parametrization-based optimum PID tuning technique for a single-link manipulator.…”

Section: Introductionmentioning

confidence: 99%