Tuning Fuzzy PID Controllers

Voloşencu, Constantin

doi:10.5772/32750

Cited by 14 publications

(25 citation statements)

References 11 publications

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“…A pseudo-equivalence with a linear PI controller is used to design the fuzzy PI controller, in accordance with [20][21][22][23]. The fuzzy block BF is linearized around the steady state operating point: (e = 0, de = 0, di d = 0).…”

Section: Pseudo-equivalence Of the Fuzzy Pi Controllermentioning

confidence: 99%

“…For the analysis of the stability of the speed control system of electric drives based on fuzzy speed controller, we worked with a quasi-continuous model of the control system, as shown in Figure 4. The elements of derivation and numerical integration have been replaced by continuous transfer functions [20][21][22][23]. The sampling step was denoted by h.…”

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

“…The system from Figure 4 has the equations: The elements of derivation and numerical integration have been replaced by continuous transfer functions [20][21][22][23]. The sampling step was denoted by h.…”

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

“…The families of characteristics d id = f (x t1 ; de), from Figure 3c, have the property that they are only in quadrants I and III [20][21][22].…”

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

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Stability Analysis of Systems with Fuzzy PI Controllers Applied to Electric Drives

Voloşencu

2021

Mathematics

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This paper analyzes the stability of fuzzy control systems with applications for electric drives. Ensuring the stability of these systems is a necessity in practice. The purpose of the study is the analysis of the dynamic characteristics of the speed control systems of electric drives based on fuzzy PI controllers in the context of performing stability analyses, both internal and input–output, finding solutions to stabilize these systems and provide guidance on fuzzy regulator design. The main methods of treatment applied are as follows: framing the control system in the theory of stability of multivariable non-linear systems, application of Lyapunov’s theory, performing an input–output stability analysis, and verification of the stability domain. The article presents the conditions for correcting the fuzzy controller to ensure internal and external stability, determines the limits of the stability sector, and gives indications for choosing the parameters of the controller. The considerations presented can be applied to various structures for regulating the speed of electric drives which use various PI fuzzy controllers.

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Section: Pseudo-equivalence Of the Fuzzy Pi Controllermentioning

confidence: 99%

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

“…The families of characteristics d id = f (x t1 ; de), from Figure 3c, have the property that they are only in quadrants I and III [20][21][22].…”

Section: Model Of the Control System Used In Stability Analysismentioning

confidence: 99%

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Stability Analysis of Systems with Fuzzy PI Controllers Applied to Electric Drives

Voloşencu

2021

Mathematics

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“…proportional–integral/proportional–integral–derivative (PI/PID) control methods are widely used and preferred in most of control applications. PI/PID controller parameters are calculated in literature using heuristic methods such as Ziegler Nichols, particle swarm optimization (PSO), genetic algorithm (GA) and simulated annealing (SA) 2–7 or analytic methods such as frequency response, Bode plot and root-locus technique 8–14 or intelligent methods 15–19 such as neural network (NN) and fuzzy logic.…”

Section: Introductionmentioning

confidence: 99%

Double-loop PI controller design of the DC-DC boost converter with a proposed approach for calculation of the controller parameters

Özdemir

Erdem

2017

Proceedings of the Institution of Mechanical Engineers, Part I:

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Parameters of digital proportional-integral/proportional-integral-derivative controllers are usually calculated using commonly known conventional methods or solution of discrete-time equations. In literature, a model-based compact form formulation for calculation of discrete-time proportional-integral/proportional-integral-derivative controller parameters has not been come across yet. The proposed model-based compact form formulations are introduced to calculate the proportional-integral parameters in discrete time as a new approach. Generally, different types of control techniques are chosen in similar studies for double-loop control for direct current-direct current boost converter control except proportional-integral/proportional-integral. In this study, double-loop proportional-integral controller is used as a different control method from literature. By this way, the most important advantages of the proposed study are to reduce different design methods to a unique proportional-integral design method and shorten all calculations. The accuracy of the double-loop proportional-integral controller's parameters calculated using the model-based compact form formulations is validated both in simulation and experimental studies under various disturbance effects. Satisfactory performance of the proposed controller under model uncertainty and other cases are comparatively shown with the predefined performance criteria.

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