Original scientific paper

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

Pristup igre nulte-sume za H∞ robusno reguliranje jedinstveno perturbiranih bilinearnih kvadratnih sustava

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

A zero-sum game approach for H∞ robust control of continuous-time singularly perturbed bilinear quadratic systems with an additive disturbance input is presented. By regarding the stochastic disturbance (or the uncertainty) as "the nature player", the H∞ robust control problem is transformed into a two-person zero-sum dynamic game model. By utilizing the singular perturbation decomposition method to solve the composite saddle-point equilibrium strategy of the system, the H∞ robust control strategy of the original singularly perturbed bilinear quadratic systems is obtained. A numerical example of a chemical reactor model is considered to verify the efficiency of the proposed algorithm.

Keywords

bilinearni kvadratni sustav; H∞ robusno reguliranje; jedinstveno perturbiran; teorija igre nulte sume

Hrčak ID:

183037

URI

https://hrcak.srce.hr/183037

Publication date:

15.6.2017.

Article data in other languages: english

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