Accelerating simulation time of unstable discrete-time systems using Singular Perturbation Approximation

Didik K. Arif, Helisyah N. Fadhilah, Dieky Adzkiya, Lita N. Rochmah, Nurma A.W. Yoga, Hartanto Setiawan, Rusydah Kamuah, Regita R.N. Cahyani

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Citations (Scopus)

Abstract

In the natural phenomenon, many systems are unstable. Moreover, the systems in the universe often have large order. The system that has a large order is more complicated than the system that has a small order. Therefore, we need to simplify the order of the system without any significant errors. Simplification of the system can be done using the reduction of the model. Model reduction can only be done on the stable system, so that the unstable system needs to be decomposed to obtain a stable subsystem that can be reduced. Singular Perturbation Approximation (SPA) method is one of the model reduction method. The reduced models are obtained by taking the speed of fast mode equal to zero. According to our simulation result using MATLAB, for reduced model having a small order (many state variables are removed) in low frequency, the model reduced using SPA is closer to original model compared with the model reduced using Balanced Truncation (BT). The time needed to simulate the reduced model is smaller than the time needed to simulate the original model. However, when the order of reduced model is small, then the error is big.

Original languageEnglish
Title of host publicationProceedings of the 2017 5th International Conference on Instrumentation, Control, and Automation, ICA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7-12
Number of pages6
ISBN (Electronic)9781538603499
DOIs
Publication statusPublished - 13 Oct 2017
Event5th International Conference on Instrumentation, Control, and Automation, ICA 2017 - Yogyakarta, Indonesia
Duration: 9 Aug 201711 Aug 2017

Publication series

NameProceedings of the 2017 5th International Conference on Instrumentation, Control, and Automation, ICA 2017

Conference

Conference5th International Conference on Instrumentation, Control, and Automation, ICA 2017
Country/TerritoryIndonesia
CityYogyakarta
Period9/08/1711/08/17

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