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Design of sliding mode control for neutral delay systems with perturbation in control channels
Author(s) -
Niu Yugang,
Jia T.,
Huang J.,
Liu J.
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.1002
Subject(s) - control theory (sociology) , sliding mode control , perturbation (astronomy) , convex optimization , controller (irrigation) , regular polygon , mathematics , computer science , control (management) , nonlinear system , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology
SUMMARY This paper considers the problem of sliding mode control for a class of uncertain neutral delay systems. There are uncertainties not only in the state matrices, but also in the control matrix that results from perturbation in the control channels. By means of a sliding surface dependent on both the current states and delayed states, a sliding mode controller is designed such that the asymptotic stability of closed‐loop systems can be ensured. The design of both the sliding surface and the sliding mode controller can be obtained via convex optimization. It is shown that the state trajectories are driven onto the specified sliding surface in finite time and remain there for subsequent time. Finally, a numerical simulation example is provided. Copyright © 2011 John Wiley & Sons, Ltd.