Open AccessDesign of robust sliding‐mode output‐feedback control with suboptimal guaranteed cost
Author(s) -
Xi Liu,
Xiuxia Sun,
Shuguang Liu,
Song Xu,
Ming Cai
Publication year - 2015
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.2014.0555
Subject(s) - control theory (sociology) , quadratic equation , convergence (economics) , linear matrix inequality , robust control , controller (irrigation) , sliding mode control , mathematics , mathematical optimization , matrix (chemical analysis) , robustness (evolution) , computer science , control system , control (management) , engineering , nonlinear system , artificial intelligence , quantum mechanics , physics , electrical engineering , materials science , economic growth , chemistry , composite material , biology , biochemistry , geometry , agronomy , economics , gene
The design approach of robust sliding‐mode output‐feedback (SMOF) controller in static nature is proposed for a class of uncertain systems with mismatched uncertainty in the state matrix. The main contribution of the approach is in that the quadratic performance can be optimised with guaranteed cost. At first, a new existence condition of linear sliding surface with guaranteed cost is derived, which only involves the original system parameters. Secondly, based on the existence condition, an iterative linear matrix inequality approach is proposed to optimise the quadratic performance on the sliding surface. At last, by using linear matrix inequalities approach, a design framework for synthesising the SMOF controller is presented, as a consequence, finite time convergence to the sliding mode can be guaranteed and, the quadratic performance can be optimised under input constraints. The superiority of the proposed method is verified by numeric examples.