Second-Order SMC with Disturbance Compensation for Robust Tracking Control in PMSM Applications

Aschemann, Harald; Haus, Benedikt; Mercorelli, Paolo

doi:10.1016/j.ifacol.2020.12.1721

Cited by 4 publications

(9 citation statements)

References 9 publications

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“…In the recent years, constructive results in many areas of control applications [12,13] indicate the efficacy of this theory in practical applications. Many variations of this theory appeared in the last years to make its general approach to different applications more elastic.…”

Section: Motivationmentioning

confidence: 97%

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Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability

2021

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Due to the worldwide outbreak of COVID-19, many strategies and models have been put forward by researchers who intend to control the current situation with the given means. In particular, compartmental models are being used to model and analyze the COVID-19 dynamics of different considered populations as Susceptible, Exposed, Infected and Recovered compartments (SEIR). This study derives control-oriented compartmental models of the pandemic, together with constructive control laws based on the Lyapunov theory. The paper presents the derivation of new vaccination and quarantining strategies, found using compartmental models and design methods from the field of Lyapunov theory. The Lyapunov theory offers the possibility to track desired trajectories, guaranteeing the stability of the controlled system. Computer simulations aid to demonstrate the efficacy of the results. Stabilizing control laws are obtained and analyzed for multiple variants of the model. The stability, constructivity, and feasibility are proven for each Lyapunov-like function. Obtaining the proof of practical stability for the controlled system, several interesting system properties such as herd immunity are shown. On the basis of a generalized SEIR model and an extended variant with additional Protected and Quarantined compartments, control strategies are conceived by using two fundamental system inputs, vaccination and quarantine, whose influence on the system is a crucial part of the model. Simulation results prove that Lyapunov-based approaches yield effective control of the disease transmission.

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Section: Motivationmentioning

confidence: 97%

“…Figure13. Scenario A: the upper limit of quarantine campaign is 1/2 and upper limit of vaccination campaign is 125,000.…”

mentioning

confidence: 99%

Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability

2021

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“…Remark 1. Commonly, in recent papers [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][31][32][33][34][35], it is assumed that terms T f ric is known whereas T visc and T dϕm are ignored when designing observers. So, essentially, the designed observers estimate only T L .…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Note that recent published methods require the assumption that the disturbance is slowly varying [4][5][6][7][9][10][11][12][13][14][15][16][17][18][19][20][21] or the highest order time derivative [8,26] is zero. In Assumption 2, we only need the highest order derivative of the disturbance is bounded, which is much more practical.…”

Section: Generalized High-order Total Disturbance Observer Designmentioning

confidence: 99%

“…In a numerous of publications, the mechanical frictions were assumed to be known whereas the other terms of disturbance such as frictions due to Eddy and flux pulling torques, noises, and unmodelling errors are neglected. Under this frame, a number of load torque observers were designed: fuzzy observer [4], active disturbance rejection control (ADRC) scheme [5,6], H ∞ -based observer [7], polynomial observer [8], nonlinear observer [9], extended state observer (ESO) [10,11], sliding mode observer (SMO) [12][13][14][15][16], extended Kalman filter (EKF) [17], nonlinear optimal observer [18,19], time-varying nonlinear observer [20], linear disturbance observer [21]. Although the results showed the good performance, this kind of assumption is not realistic and not feasible in most of applications, since the frictions are typically unknown and noises are unpreventable.…”

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of a Generalized High-Order Disturbance Observer for PMSMs With a Fuzy-PI Speed Controller

Suleimenov

Duc

2022

IEEE Access

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This paper proposes a generalized high-order observer for estimating total disturbance of permanent magnet synchronous motors (PMSMs). This total disturbance is dominated by load torque but also includes many other terms such as frictions, viscous force, Eddy and flux pulling forces, and noises. A comprehensive experimental results and analyses under various scenarios will be presented to find the appropriate order of the observer. We will compare the performance of zero-order observer (ZDO), first-order observer (FDO), and second-order observer (SDO) under three different scenarios of load torque. Additionally, the results of extended state observer (ESO) under the same conditions are also presented. The experimental results show that FDO and SDO achieve similar performance and both of them is notably better than the ZDO and ESO. However, during the severe conditions of load torque, the SDO-based controller can achieve better performance compared to the that of FDO-based controller. Moreover, fuzzy algorithm is applied to online tune the PI gains in the speed loop. The results also show that the SDO-based fuzzy-PI control schemes is effective in disturbance rejection and high-performance speed tracking. All of the experiments are carried out on a 300-W PMSM testbed with a digital signal processor (DSP).INDEX TERMS Disturbance observer, frictions, fuzzy logic control (FLC), high-order observer, permanent magnet synchronous motor (PMSM), proportional-integral (PI) control, speed control.

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Research on Finite-time Control of Motor Systems: Application to Small-scale Cultural Service Complex

et al. 2021

2021 International Conference on Culture-Oriented Science &Amp; Technology (ICCST)

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Second-Order SMC with Disturbance Compensation for Robust Tracking Control in PMSM Applications

Cited by 4 publications

References 9 publications

Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability

Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability

Design and Analysis of a Generalized High-Order Disturbance Observer for PMSMs With a Fuzy-PI Speed Controller

Research on Finite-time Control of Motor Systems: Application to Small-scale Cultural Service Complex

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