Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust controller
Summary This paper investigates the robust H ∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable a...
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Published in | Optimal control applications & methods Vol. 41; no. 2; pp. 369 - 380 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
01.03.2020
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Online Access | Get full text |
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Summary: | Summary
This paper investigates the robust
H
∞
controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable and satisfies the given
H
∞
performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the
H
∞
stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods. |
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ISSN: | 0143-2087 1099-1514 |
DOI: | 10.1002/oca.2547 |