Premium
Optimal integral sliding mode control for a class of uncertain discrete‐time systems
Author(s) -
Sun Nana,
Niu Yugang,
Chen Bei
Publication year - 2013
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2082
Subject(s) - robustness (evolution) , control theory (sociology) , sliding mode control , integral sliding mode , quadratic equation , discrete time and continuous time , computer science , variable structure control , robust control , class (philosophy) , mathematics , optimal control , mathematical optimization , control system , control (management) , nonlinear system , engineering , physics , biochemistry , chemistry , geometry , statistics , quantum mechanics , artificial intelligence , electrical engineering , gene
SUMMARY This paper considers the problem of sliding mode control for a class of uncertain discrete‐time systems. Firstly, an optimal control law for the nominal system is derived to satisfy linear quadratic performance index. And then, an optimal integral sliding surface is designed to ensure the robustness for sliding dynamics. By combining with the discrete reaching law, the existence condition of the sliding mode is proved, and the bandwidth of the quasi‐sliding mode is given. It is shown that the present method utilizes a lower control gain to attain stronger robustness and eliminate the chattering. Finally, illustrative simulation results are provided. Copyright © 2013 John Wiley & Sons, Ltd.