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- Title
Robust Passivity and Passification for a Class of Singularly Perturbed Nonlinear Systems with Time-Varying Delays and Polytopic Uncertainties via Neural Networks.
- Authors
Wen, Shiping; Zeng, Zhigang; Huang, Tingwen; Bao, Gang
- Abstract
This paper investigates the problem of robust passivity and passification for a class of singularly perturbed nonlinear systems (SPNS) with time-varying delays and polytopic uncertainties via neural networks. By constructing a proper functional and the linear matrix inequalities (LMIs) technique, some novel sufficient conditions are derived to make SPNS passive. The allowable perturbation bound ξ can be determined via certain algebra inequalities, and the proposed controller based on neural network will make SPNS with polytopic uncertainties passive for all ξ∈(0, ξ). Finally, a numerical example is given to illustrate the theoretical results.
- Subjects
PASSIVITY (Engineering); ROBUST control; NONLINEAR systems; TIME-varying systems; ARTIFICIAL neural networks; UNCERTAINTY (Information theory)
- Publication
Circuits, Systems & Signal Processing, 2013, Vol 32, Issue 3, p1113
- ISSN
0278-081X
- Publication type
Article
- DOI
10.1007/s00034-012-9509-8