Stability analysis for a class of Hamiltonian systems with digital control
Authors
Abstract
On contrast to the successful achievement of nonlinear control theory with continuous-time feedback as in, e.g., [1], [5], there are less studies on the digital control of nonlinear systems with notable exceptions, e.g., [2], [4]. In particular there are few results on quantitative aspects of the subject. This article considers a digital implementation problem of the passivity based control for port-controlled Hamiltonian systems. A sufficient condition for asymptotic stability is given in terms of the Hamilton-Jacobi-Isaac inequality. A more tractable sufficient condition is also shown with a reward of conservatism. The effectiveness of the proposed methods is demonstrated by numerical examples.
Citation
- ISBN: 9781849195331
- Publisher: Institution of Engineering and Technology
- DOI: 10.1049/pbce076e_ch6
BibTeX
@inbook{2012, ISBN={9781849195348},
DOI={10.1049/pbce076e_ch6},
booktitle={{Developments in Control Theory Towards Glocal Control}},
publisher={Institution of Engineering and Technology},
year={2012},
pages={49--54}
}