Abstract: The problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input time-delay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using Lyapunov-Krasovskii functional method and formulated in terms of LMI. The sliding mode existence conditions are also studied by choosing a suitable Lyapunov function. The stability and sliding conditions are consistent.
Three numerical examples with simulation results are given to illustrate the usefulness of the proposed design method.

Brief biography of the speaker:
Elbrous Mahmoud Jafarov was born in province Gokche, village Karkibash in the west of Azerbaijan in 15.12.1946 where he left secondary school in 1964 with a gold medal and he received his first class Honors Degree Electro-Mechanical Engineering Diploma (M.Sc. Degree) in Faculty of Automation of Manufacturing Process from Azerbaijan Industrial University (now Azerbaijan State Oil Academy) Baku, in 1969. The USSR State Certification of Candidate Eng. Sc. (Ph.D.) and D.Sc. (Eng) degrees from Research Institute NIPINefteKhimAutomat (Sumgait)-TsNIIKAutomation (Moscow)-IMM and Institute of Cybernetics of Azerbaijan Science Academy; and Institute of Control Sciences (Moscow)-MIEM-LETI in Control and Systems Engineering were received in 1973 and 1982, respectively.
He started as a research engineer in NIPINefteKhim-Automat and then he became Head of Variable Structure Control of the Oil-Chemical Process Laboratory from 1969 to 1984. During 1985-1996 he was Chairman of the Control Systems and Robotics Engineering Department at the Azerbaijan Technical University, Baku.
Dr. Jafarov received the USSR State Certification of Professor in Control Systems Engineering in 1987. He was visiting Professor at Beijing Aeronautical and Astronautical University (BUAA), in1993, where he was awarded by China State BUAA Advisor Professor Certificate; and Georg-Simon-Ohm-Fachhochule Nurnberg, Germany, in 2001. He has been contractual professor in the Aeronautical and Astronautical Faculty of Istanbul Technical University, Turkey, since 1996. He is a senior student of Islam and Sufism University of Allah, Virginia USA.
Professor Jafarov is the author of about 200 scientific journal articles, international conference papers, teaching materials, research reports, etc. and 27 Inventions with USSR State Certificates in Control and Systems Practice Engineering. He is a member of IASTED (Canada), WSEAS Academy (Greece), International Technological Cybernetics Academy (Saint Petersburg), Editorial Board of the Open Electrical and Electronic Engineering Journal, Reviewers Board of IEEE Journals and Conferences, Emerald Literati Network (London) etc. His complete biography is included in the Marquis Who’s Who in the World 2006-2009 Editions USA.
His current research and teaching interests include automatic control, variable structure control, time- delay systems, flight dynamics and control, robot control, robust control, optimal control, process control etc. He is also interested in relativity theory, poetry and Sufism. He is married and has two daughters.