TY - GEN
T1 - Sliding mode control of uncertain systems with distributed delay
T2 - 6th International Conference on Machine Learning and Cybernetics, ICMLC 2007
AU - Lv, Xue Feng
AU - Wu, Li Gang
AU - Zhou, Zhi Bo
PY - 2007
Y1 - 2007
N2 - The robust stability and robust sliding mode control problems are studied for a class of linear distributed delay systems with polytopic-type uncertainties in this paper by applying the parameter-dependent Lyapunov functional method combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system. Then the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are also developed. The results are all given in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme.
AB - The robust stability and robust sliding mode control problems are studied for a class of linear distributed delay systems with polytopic-type uncertainties in this paper by applying the parameter-dependent Lyapunov functional method combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system. Then the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are also developed. The results are all given in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme.
KW - Distributed delay systems
KW - Linear matrix inequalities (LMIs)
KW - Parameter-dependent Lyapunov functional
KW - Robust stabilization
KW - Sliding mode control
UR - https://www.scopus.com/pages/publications/37849043432
U2 - 10.1109/ICMLC.2007.4370231
DO - 10.1109/ICMLC.2007.4370231
M3 - 会议稿件
AN - SCOPUS:37849043432
SN - 142440973X
SN - 9781424409730
T3 - Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
SP - 682
EP - 687
BT - Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
Y2 - 19 August 2007 through 22 August 2007
ER -