Title | ||
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Robust H∞ control for a class of uncertain nonlinear two-dimensional systems with state delays |
Abstract | ||
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This paper considers the problem of robust H∞ control for uncertain 2-D discrete state-delayed systems in the Fornasini–Marchesini second local state-space model with a class of generalized Lipschitz nonlinearities. The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of state feedback controllers such that the stability of the resulting closed-loop system is guaranteed and a prescribed H∞ performance level is ensured for all admissible uncertainties. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained. A desired state feedback controller can be constructed by solving a certain LMI. A numerical example is provided to demonstrate the application of the proposed method. |
Year | DOI | Venue |
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2005 | 10.1016/j.jfranklin.2005.07.003 | Journal of the Franklin Institute |
Keywords | Field | DocType |
linear matrix inequality | H-infinity methods in control theory,Nonlinear system,Full state feedback,Nonlinear control,Control theory,Lipschitz continuity,Robust control,Mathematics,Linear matrix inequality,Control synthesis | Journal |
Volume | Issue | ISSN |
342 | 7 | 0016-0032 |
Citations | PageRank | References |
22 | 1.33 | 2 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Huiling Xu | 1 | 84 | 11.89 |
Yun Zou | 2 | 846 | 59.64 |
Junwei Lu | 3 | 387 | 34.94 |
Shengyuan Xu | 4 | 3541 | 251.22 |