Pristup igre nulte-sume za H∞ robusno reguliranje jedinstveno perturbiranih bilinearnih kvadratnih sustava
| Autor: | Huai-nian Zhu, Feng Hu, Ning Bin, Cheng-ke Zhang, Ming Cao |
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| Rok vydání: | 2017 |
| Předmět: |
Combinatorics
Zero-sum game ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION bilinearni kvadratni sustav H∞ robusno reguliranje jedinstveno perturbiran teorija igre nulte sume MathematicsofComputing_NUMERICALANALYSIS General Engineering bilinear quadratic system H∞ robust control singularly perturbed zero-sum game theory Mathematics |
| Zdroj: | Tehnički vjesnik Volume 24 Issue 3 |
| ISSN: | 1848-6339 1330-3651 |
| DOI: | 10.17559/tv-20161112172344 |
| Popis: | 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. 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. |
| Databáze: | OpenAIRE |
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