Robust control for a class of secondary regulation rotate speed systems via Hamiltonian function method¹

Article type: Research Article

Authors: Zang, Faye^{a; b; *} | Wang, Yong^a | Yang, Renming^b

Affiliations: [a] Department of Engineering Mechanical, Shandong University, Jinan, P.R. China | [b] Shandong Jiaotong University, Jinan, P.R. China

Correspondence: [*] Corresponding author. Faye Zang. Tel.: +8613695316256; Fax: +86 531 80687611; E-mail: [email protected].

Note: [1] Supported by Natural Science Foundation of Shandong Province (ZR2014AM028, ZR2014FM033) and Colleges and Universities in Shandong Province Science and Technology Project (J13LN37, J12LN29).

Abstract: This paper investigates the robust control for a class of secondary regulation rotate speed systems by applying Hamiltonian function method, and proposes a number of new results on the system. Firstly, we present some Hamiltonian realization methods for a class of nonlinear systems. Then, by transforming the nonlinear system under study into a Hamiltonian form, the paper presents several stability and H∞ control results, respectively. Finally, an illustrative example shows the effectiveness of the result obtained in this paper.

Keywords: Secondary regulation rotate speed system, stability, robust control, hamiltonian function method

DOI: 10.3233/JIFS-16493

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 991-997, 2017