Linear-Matrix-Inequality-Based Controller and Observer Design for Induction Machine

Nemeth, Zoltan; Kuczmann, Miklós

doi:10.3390/electronics11233894

Cited by 3 publications

(3 citation statements)

References 20 publications

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“…The mentioned control system is a nonlinear state feedback controller completed by the integral action to eliminate the steady-state error of the step response and to attenuate disturbance and noise effects [41,42,50].…”

Section: Tensor Product-based Controller Designmentioning

confidence: 99%

“…The induction machine nonlinear TP-based controller is complemented by an integral action and observer in [41,42]. The designed controller ensures stable and accurate operation over the full operating range of the machine, taking into account the wide range of temperature values, and possible variations in inductances, which are outside the range of the parameters under consideration.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, the TP model transformation-based control is numerical and easy to algorithmize. Therefore, high performance and easy to implement control methods can be achieved by combining FOC and TP transformation, similarly to [40][41][42]. However, the idea of [43] shows that a TP model has a huge number of alternatives.…”

Section: Introductionmentioning

confidence: 99%

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Tensor Product Alternatives for Nonlinear Field-Oriented Control of Induction Machines

Kuczmann,

Horváth

2024

Electronics

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The paper presents a nonlinear field-oriented control technique based on the tensor product representation of the nonlinear induction machine model and the solvability of linear matrix inequalities. The nonlinear model has 32 quasi linear parameter-varying equivalent variants, and it is shown that only half of the models result in feasible controller. Two control goals are realized: torque control and speed control. The controller is a nonlinear state feedback controller completed by integral action. A new block diagram is investigated for speed control. The controller gains are designed by the solution of linear matrix inequalities to solve the Lyapunov inequality to obtain a stable and fast response and constraints on the control signal. The presented methods are verified and compared by simulations.

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Section: Tensor Product-based Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tensor Product Alternatives for Nonlinear Field-Oriented Control of Induction Machines

Kuczmann,

Horváth

2024

Electronics

Self Cite

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Disturbance Compensator Design Based on Dilated LMI for Linear Parameter-Varying Systems

İnci,

Altun

2024

Electronics

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This paper presents a new dilated linear matrix inequality (LMI) representation to design a state feedback controller and a dynamic feedforward disturbance compensator for linear parameter-varying (LPV) systems. The improved LMIs are convex and finite-dimensional without any iterative approach. The designs are based on a new proposed equivalent bounded real lemma (BRL) by means of matrix dilation for LPV systems and uncertain linear systems under time-varying parametric uncertainties (TVPUs). This dilated BRL provides lower conservative results than existing methods in terms of robust stability. Accordingly, a dynamic disturbance compensator is designed in addition to a state feedback controller. This paper mainly focuses on the design of compensators against disturbances in addition to the design of state feedback controllers. The dynamic matrices of the compensator change with the time-varying parameters of the LPV or uncertain system during operation, assuming that the disturbances and the parameters are measurable or observable. The compensator can be designed to attenuate the disturbances/noises or to improve reference tracking. Finally, numerical and simulation outcomes are presented to prove both the effectiveness and lower conservativeness of the proposed LMIs.

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Disturbance-Observer-Based LQR Tracking Control for Electro-Optical System

2023

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To improve the dynamic property and the disturbance suppression ability of an electro-optical tracking system, this paper presents a disturbance-observer-based LQR tracking control method. The disturbance-observer-based robust controller is composed of three parts: one is the LQR tracking controller, one is the reference model controller and the other is a compensatory controller designed with the output of the disturbance observer. The uncertainty and disturbances are considered in the controller design. By Lyapunov stability theory and linear matrix inequality (LMI) technique, the sufficient conditions for observer gain and controller gain of the tracking reference model of the electro-optical system are given. Simulation and experimental results show that the proposed method in this paper not only improved the disturbance suppression ability of the electro-optical tracking system but also improved the dynamic property of the electro-optical tracking system, such as rise time, settling time and system overshoot. Specially, compared with other methods in this paper, the tracking accuracy and the disturbance suppression ability of the proposed method are about two to three times higher. The method presented in this paper has important reference value in the field of electro-optical system applications. But, with the development of electro-optical system applications, the tracking accuracy and disturbance suppression ability of the proposed method cannot meet the actual requirements of an electro-optical system. The next step of this paper will consider a variety of practical requirements, such as the controller saturation problem and tracking reference target with strong maneuverability, and further optimize the proposed method.

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Linear-Matrix-Inequality-Based Controller and Observer Design for Induction Machine

Cited by 3 publications

References 20 publications

Tensor Product Alternatives for Nonlinear Field-Oriented Control of Induction Machines

Tensor Product Alternatives for Nonlinear Field-Oriented Control of Induction Machines

Disturbance Compensator Design Based on Dilated LMI for Linear Parameter-Varying Systems

Disturbance-Observer-Based LQR Tracking Control for Electro-Optical System

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