Browse > Article
http://dx.doi.org/10.7471/ikeee.2020.24.4.950

Optimizing Design Constants of Higher-Order Switching Differentiator  

Park, Jang-Hyun (Dept. of Electrical and Control Engineering, Mokpo National University)
Publication Information
Journal of IKEEE / v.24, no.4, 2020 , pp. 950-953 More about this Journal
Abstract
A switching differentiator that can estimate the 1st-order time-derivative of a time-varying signal was proposed, and it is extended later to the higher-order switching differentiator(HOSD) that can observe higher-order time-derivatives of a time-varying signal in previous works. By using HOSD, higher-order time-derivatives can be estimated without peaking or chattering, and it has an asymptotic tracking performance. However, there exist many design constants to be determined in HOSD. In this paper, a method of reducing the number of design constants is proposed to solve the problem. Simulations reveal the effectiveness of the proposed method.
Keywords
differentiator; higher-order switching differentiator; optimal design constants;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J.-H. Park, S.-H. Kim, and T.-S. Park, "Asymptotically convergent switching differentiator," Int J Adapt Control Signal Process, vol.33, pp. 557566, 2019. DOI: 10.1002/acs.2969   DOI
2 J.-H. Park, S.-H. Kim, and T.-S. Park, "Asymptotically Convergent Higher-Order Switching Differentiator," Mathematics, vol. 8, no.2, pp.185:1-17, 2020. DOI: 10.3390/math8020185   DOI
3 J. Han, "From PID to Active Disturbance Control," IEEE Trans. Ind. Electron, vol.56, pp. 900-906, 2009. DOI: 10.1109/TIE.2008.2011621   DOI
4 P. R. Belanger, P. Dobrovolny, A. Helmy, and X. Zhang, "Estimation of Angular Velocity and Acceleration from Shaft-Encoder Measurements," Int. J. Robot. Res., vol.17, pp.1225-1233, 1998. DOI: 10.1109/ROBOT.1992.220228   DOI
5 H. K. Khalil, "High-Gain Observers in Feedback Control: Application to Permanent Magnet Synchronous Motors," IEEE Control Syst. Mag., vol.37, pp.25-41, 2017. DOI: 10.1109/MCS.2017.2674438   DOI
6 A. Levant, "Non-homogeneous finite-time-convergent differentiator," Proceedings of the 48th IEEE Conference on Decision and Control, pp. 8399-8404, 2009. DOI: 10.1109/CDC.2009.5400277   DOI
7 J.-H. Park, T.-S. Park, and S.-H. Kim, "Approximation-Free Output-Feedback Non-Backstepping Controller for Uncertain SISO Nonautonomous Nonlinear Pure-Feedback Systems," Mathematics, vol.7, pp.456:1-11, 2019. DOI: 10.3390/math7050456   DOI
8 J. F. Carneiro and F. G. D. Almeida, "On the Influence of Velocity and Acceleration Estimators on a Servopneumatic System Behaviour," IEEE Access, vol.4, pp.6541-6553, 2016. DOI: 10.1109/ACCESS.2016.2607284   DOI
9 J.-H. Park, S.-H. Kim, and T.-S. Park, "Output-Feedback Adaptive Neural Controller for Uncertain Pure-Feedback Nonlinear Systems Using a High-Order Sliding Mode Observer," IEEE Trans. Neural Network and Learning System, vol.30, no.5, pp.1596-1601, 2019. DOI: 10.1109/TNNLS.2018.2861942   DOI
10 J.-H. Park, S.-H. Kim, and T.-S. Park, "Approximation-Free State-Feedback Backstepping Controller for Uncertain Pure-Feedback Nonautonomous Nonlinear Systems Based on Time-Derivative Estimator," IEEE Access, vol.7, pp.126634-126641, 2019. DOI: 10.1109/ACCESS.2019.2938595   DOI
11 J.-H. Park, S.-H. Kim, and T.-S. Park, "Approximation-Free Output-Feedback Control of Uncertain Nonlinear Systems Using Higher-Order Sliding Mode Observer," J. Dynamics Systems, Measurement, and Control, vol.140, no.12, pp.124502:1-5, 2018. DOI: 10.1115/1.4040664   DOI