Open AccessRobust integral sliding mode‐ H ∞ control of one‐sided Lipschitz non‐linear systems
Author(s) -
Saad Wajdi,
Sellami Anis,
Garcia Germain
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5510
Subject(s) - control theory (sociology) , lipschitz continuity , integral sliding mode , robustness (evolution) , sliding mode control , linear matrix inequality , attenuation , mathematics , bounded function , nonlinear system , robust control , norm (philosophy) , computer science , mathematical analysis , law , mathematical optimization , control (management) , physics , quantum mechanics , artificial intelligence , biochemistry , chemistry , political science , optics , gene
This study is concerned with the problem ofH ∞‐integral sliding mode control (SMC) for one‐sided Lipschitz (OSL) non‐linear systems. Unmatched norm‐bounded uncertainties and disturbances are considered. The design procedure gathers the high robustness qualities of the SMC and theH ∞measure performance. Initially, the solvability condition for the integral sliding surface is established and new sufficient linear matrix inequality (LMI) condition is derived such that the sliding mode dynamics is robust exponentially stable and has aL 2disturbance attenuation performance. Then, an appropriate SMC law is synthesised to force the states of the system towards the sliding surface in finite time and to maintain a sliding motion on it thereafter. At last, two simulation examples are provided to prove the feasibility of the proposed method.