Original scientific paper

https://doi.org/10.17559/TV-20161112172344

A zero-sum game approach for H∞ robust control of singularly perturbed bilinear quadratic systems

Ning Bin ; School of Management, Guangdong University of Technology, No. 161, Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China
Cheng-ke Zhang ; School of Commerce & Economics, Guangdong University of Technology, No. 161, Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China
Huai-nian Zhu ; School of Commerce & Economics, Guangdong University of Technology, No. 161, Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China
Ming Cao ; School of Management, Guangdong University of Technology, No. 161, Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China
Feng Hu ; School of Management, Guangdong University of Technology, No. 161, Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China

Abstract

U radu se opisuje pristup igre nulte sume za H∞ robusno reguliranje trajnih jedinstveno perturbiranih bilinearnih kvadratnih sustava s dodatnim unosom smetnji. Smatrajući stohastičke smetnje (ili nesigurnost) kao "igrača prirode", problem H∞ robusnog reguliranja pretvara se u model dinamičke igre nulte-sume za dvije osobe. Primjenom metode dekompozicije singularne perturbacije za rješavanje složene strategije ravnoteže točke opterećenja toga sustava, dobiva se strategija H∞ robusnog reguliranja originalnih jedinstveno uznemirenih bilinearnih kvadratnih sustava. Provjera učinkovitosti predloženog algoritma daje se na numeričkom primjeru modela kemijskog reaktora.

Keywords

bilinear quadratic system; H∞ robust control; singularly perturbed; zero-sum game theory

Hrčak ID:

183037

URI

https://hrcak.srce.hr/183037

Publication date:

15.6.2017.

Article data in other languages: croatian

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