Design of sliding mode control for multi-input systems with multiple state delays

Elbrous M. Jafarov*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

8 Citations (Scopus)


In this paper, the design problem of a sliding mode controller for multi-input systems with several delays is investigated. A new control law is proposed. The sufficient conditions for the existence of a sliding mode are derived. The result are given in terms of matrix norm inequalities. We have developed some constructive delay-independent conditions for the asymptotic stability of multivariable system with multiple state delays based on Lyapunov-Krasovskii functional combined with linear matrix inequalities techniques. By these conditions we have successfully designed a new sliding mode control law for the stabilization of multi-input system with several delays. The sliding and stability conditions are less conservative than existing conditions.

Original languageEnglish
Pages (from-to)1139-1143
Number of pages5
JournalProceedings of the American Control Conference
Publication statusPublished - 2000
Event2000 American Control Conference - Chicago, IL, USA
Duration: 28 Jun 200030 Jun 2000


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