Nichtlineare Regelungen 2

Föllinger, Otto

doi:10.1524/9783110406146

Cited by 17 publications

(11 citation statements)

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“…Therefore, consideration of the constraints deserves due attention when designing the controller. This can be done using the circle criterion of absolute stability [9,32,33]. Here, the PD m n R controller from Figure 1 must be converted into the standard non-linear form, which expresses deviations from a required steady state and is composed of the saturation nonlinearity and the associated linear loop blocks [17,18]…”

Section: Linear and Constrained Controller Design Stability And Absol...mentioning

confidence: 99%

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Bistak,

Huba,

Vrancic

2024

Applied Sciences

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The proposed practice-oriented controller design (POCD) aims at stabilizing the system, reconstructing and compensating for disturbances while achieving fast and smooth step responses. This is achieved through a simple approach to process identification and controller tuning that takes into account control signal constraints and measurement noise. The proposed method utilizes POCD by eliminating the influence of the unstable zero dynamics of the inverse-response processes, which limits the achievable performance. It extends the previous work on PI and PID controllers to higher-order (HO) automatic reset controllers (ARCs) with low-pass filters. It is also extended according to POCD requirements while maintaining the simplified process model. The final result is an extremely simple design for a constrained controller that provides sufficiently smooth and robust responses to a wide family of HO-ARCs with odd derivatives, designed using integral plus dead time (IPDT) models and tuned by the multiple real dominant pole method (MRDP) and the circle criterion of absolute stability. The proposed design can be considered as a generalization of the Ziegler and Nichols step response method for inverse response processes and HO-ARCs.

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Section: Linear and Constrained Controller Design Stability And Absol...mentioning

confidence: 99%

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Bistak,

Huba,

Vrancic

2024

Applied Sciences

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“…The evaluation of signal shapes based on deviations from monotonicity can be viewed as a generalization of the evaluation approaches used in the early stages of automatic control in relay time-optimal control. In this context, references to Feldbaum's theorem [14,15,59,60] can be found in the older literature. According to this theorem, to move the output of an nth-order system (with full relative order) from one steady state to another, n control intervals are required in which a controlled variable changes its values from one limit to the opposite.…”

Section: Time and Shape-related Performance Measuresmentioning

confidence: 99%

“…Although it may seem surprising and counter-intuitive that a circuit that under linear control, gives the same transients for both possible sets of controller parameters, gives different properties in limiting the control action. It should be noted, however, that to examine the effect of a nonlinear saturation block (representing a special case of sector nonlinearity), the control loop must be transformed into an equivalent canonical circuit with saturation and a linear part [17,59,60,62]. In such a case, however, different controller parametrization corresponds to different transfer functions of the linear part, which may explain the different behavior.…”

Section: Two Options In Pid Parametrizationmentioning

confidence: 99%

Making the PI and PID Controller Tuning Inspired by Ziegler and Nichols Precise and Reliable

Huba

Chamraz

Bisták

et al. 2021

Sensors

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This paper deals with the design of a DC motor speed control implemented by an embedded controller. The design is simple and brings some important changes to the traditional Ziegler–Nichols tuning. The design also includes a novel anti-windup implementation of the controller and an integrated noise-reduction filter design. The proposed tuning method considers all important aspects of the control, such as pre-processing of the measured signals and filtering (to attenuate the measurement noise), time delays of the process, modeling and identification of the process, and constraints on the control signal. Three important aspects of designing PI and PID controllers for processes with noisy output on Arduino-type embedded computers are considered. First, it deals with the integrated design of the input filter and the controller parameters, since both are interdependent. Secondly, the method of setting the controllers from step responses by Ziegler and Nichols is modified for the case of digital signal processing (without drawing the tangent), while it recommends the suitability of its modification in terms of the use of both integral and static models. Third, the most suitable anti-windup solution for the given controller structure is proposed. In summary, the paper shows that an appropriate design of the embedded controller can achieve excellent closed-loop performance even in a noisy process environment with limited control signals.

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“…das Kreiskriterium erfüllt, zeigt der Regelkreis in Bild 1 auch dann ein stabiles Verhalten, wenn Störungen einen Ausgang |y| > y 0 anregen [3]. Das Kreiskriterium ist dann erfüllt, wenn der Frequenzgang G L (jω) in der komplexe Ebene für alle ω ∈ R rechts von der senkrechten Linie durch den Punkt -1 bleibt, und G L (s) ein asymptotisch stabiles System ist.…”

Section: Windup-vermeidung Bei Führungseingriffenunclassified

Vermeidung von Windup bei Ausgangsbegrenzung / Prevention of Windup in the Presence of Output Constraints

Hippe

2013

at - Automatisierungstechnik

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Zusammenfassung Dieser Beitrag stellt eine neue Methode zur Vermeidung von Problemen vor, die durch Sensorsättigung in einem sonst linearen Regelkreis entstehen können. Im Gegensatz zu den bekannten Lösungen für die Beseitigung des durch Stellbegrenzung ausgelösten Windup wird der Regler während der Begrenzungsphase nicht stabilisiert, weil dies beim Auftreten konstanter Störungen zu einer Blockierung führen könnte. Stattdessen bleibt der IAnteil des Reglers während der Sensor-Sättigung aktiv, und die Windup-Effekte werden durch eine geeignete Modifikation des Regler-Zählers vermieden. Das hierfür erforderliche Signal liefert ein Sättigungsindikator. Durch den auch im Begrenzungsfall vorhandenen I-Anteil ist eine robuste Ausregelung konstanter Störungen sicher gestellt. Durch Einsatz einer Regelkreisstruktur mit zwei Freiheitsgraden erhält man gleichzeitig ein robustes Führungsverhalten.Summary This contribution presents a new method for the prevention of problems caused by a saturating sensor in an otherwise linear loop. Different from the known anti-windup schemes for input constraints the compensator is not stabilized during saturation, as this can lead to a deadlock situation in case of persistent disturbances. Instead, the integral controller action remains active during sensor saturation, and the windup effects are prevented by an appropriate modification of the numerator of the controller. A saturation indicator provides the necessary signal for this modification. As integral action is also present during saturation a robust rejection of persistent disturbances is achieved. Using a two degrees of freedom control structure one also obtains a robust reference behaviour.

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Nichtlineare Regelungen 2

Cited by 17 publications

References 0 publications

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Making the PI and PID Controller Tuning Inspired by Ziegler and Nichols Precise and Reliable

Vermeidung von Windup bei Ausgangsbegrenzung / Prevention of Windup in the Presence of Output Constraints

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