Abstract | ||
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In this paper, implicit systems with uncertain input matrix subjected to matched Lipschitz disturbances are considered. For such kind of systems a Lipschitz continuous control, achieving admissible solutions for implicit systems is proposed. The developed methodology consists of two steps. In the first step a stable sliding surface is designed after transforming the original system into a regular like form. Then a first order sliding mode controller through an integrator is designed which will ensure finite-time convergence to the sliding manifold and the exponential convergence to the origin in spite of the presence of Lipschitz disturbances and uncertain input matrix. |
Year | DOI | Venue |
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2022 | 10.1016/j.ejcon.2022.100661 | European Journal of Control |
Keywords | DocType | Volume |
Implicit systems,Sliding mode control,Sliding surface,Lipschitz continuous control | Journal | 67 |
ISSN | Citations | PageRank |
0947-3580 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Praveen S. Babu | 1 | 0 | 0.34 |
Debbie Hernandez | 2 | 0 | 0.34 |
Bijnan Bandyopadhyay | 3 | 328 | 48.14 |
Leonid M. Fridman | 4 | 1999 | 211.93 |