Harmonic Control Arrays Method With a Real Time Application to Periodic Position Control

Dogruel, M.; Çelik, Hasan

doi:10.1109/tcst.2010.2048110

Cited by 14 publications

(7 citation statements)

References 44 publications

(35 reference statements)

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“…The internal model principle differs according to the type of the considered system, uncertainties and the measured signals. In [7], the harmonic control arrays is employed for the parametrization of the sinusoidal signals. The solutions for linear systems are given in [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Active Unmatched Disturbance Cancellation and Estimation by State--Derivative Feedback for Plants Modeled as an LTI System

Baştürk

2018

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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We design adaptive algorithms for both cancellation and estimation of unknown periodic disturbance, by feedback of state--derivatives ( i.e.,} without position information for mechanical systems) for the plants which are modeled as a linear time invariant system. We consider a series of unmatched unknown sinusoidal signals as the disturbance.The first step of the design consists of the parametrization of the disturbance model and the development of observer filters.The result obtained in this step allows us to use adaptive control techniques for the solution of the problem.In order to handle the unmatched condition, a backstepping technique is employed. Since the partial measurement of the virtual inputs is not available, we design a state observer and the estimates of these signals are used in the backstepping design.Finally, the stability of the equilibrium of the adaptive closed loop system with the convergence of states is proven.As a numerical example, a two-degree of freedom system is considered and the effectiveness of the algorithms are shown.

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Section: Introductionmentioning

confidence: 99%

Active Unmatched Disturbance Cancellation and Estimation by State--Derivative Feedback for Plants Modeled as an LTI System

Baştürk

2018

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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“…Brand new methodology of HCA enables to control harmonic systems (including periodic references/disturbances) with ease by arranging complex harmonic parts via Fourier series integral and this is the novelty of HCA compared to other synchronous frame harmonic control techniques in literature [6], [7]. In comparison with HCA, SHO control by using the generated modal of the reference in stable closed loop system and a group of reference signals are followed by the controlled output without a steady-state error.…”

Section: Introductionmentioning

confidence: 99%

Comparison of HCA and SHO/IMP Control Methodologies for Tip Damping of the Commercial Piezoelectric Transducer

Gure¹

2017

dtetr

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This study investigates and compares Harmonic Control Array (HCA) and Simple Harmonic Oscillator (SHO), or namely Internal Modal Principle (IMP),methodologies for tip damping of the commercial piezoelectric transducer (Mide, Volture PPA-1011) via voltage control under two conditions: (1) Tip displacement at different amplitudes (input) without base vibration input (no disturbance) and ( 2) by exact opposite of the fist condition; in the presence of base vibration at resonance frequency of the transducer with zero initial condition for tip displacement. Results indicated that HCA is capable to damp both cases and for the first case, with proportional controller alone and for the latter case, via proportional-integral (PI) controller regarding voltage boundary condition at different input and disturbance amplitudes, whereas SHO is unable to control the damping of the transducer tip for the first condition. Alternatively, for the second case, SHO damps remarkably faster than HCA. As an advantage, for both HCA and SHO, optimum gain constants for each case remain unchanged as the amplitude of initial conditions and disturbance vary.

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“…Further, the Fourier series can be applied in other cases, especially in periodic phenomena. Periodic disturbances affect many physical systems, and periodic reference tracking is required for some applications [9]. Controllers in the frequency domain have several advantages.…”

Section: Introductionmentioning

confidence: 99%

Fourier Series Learning Control for Torque Ripple Minimization in Permanent Magnet Synchronous Motors

et al. 2016

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Abstract:A new Fourier Series Learning Controller (FSLC) for velocity control on a Permanent Magnet Synchronous Motor (PMSM) is proposed and implemented. An analysis of the error convergence for the FSLC is presented, and the update law for the Fourier series coefficients is specified. The field-oriented control method is used as a basic element to implement three different controllers for a PMSM. The performance of the FSLC is compared with two control methods, a classical PI (Proportional Integral) controller and an artificial neural network controller. The periodic nature of torque ripple in PMSMs is considered as a periodic disturbance, which must be compensated by the controller. With the FSLC implementation, a substantial reduction of the velocity ripple is obtained. Furthermore, a higher speed of learning is achieved with the FSLC in comparison with the artificial neural network.

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Harmonic Control Arrays Method With a Real Time Application to Periodic Position Control

Cited by 14 publications

References 44 publications

Active Unmatched Disturbance Cancellation and Estimation by State--Derivative Feedback for Plants Modeled as an LTI System

Active Unmatched Disturbance Cancellation and Estimation by State--Derivative Feedback for Plants Modeled as an LTI System

Comparison of HCA and SHO/IMP Control Methodologies for Tip Damping of the Commercial Piezoelectric Transducer

Fourier Series Learning Control for Torque Ripple Minimization in Permanent Magnet Synchronous Motors

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