Open AccessRobust non‐overshooting tracking using continuous control for linear multivariable systems
Author(s) -
Xavier Nithin,
Bandyopadhyay Bijnan,
Schmid Robert
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.2017.0409
Subject(s) - control theory (sociology) , multivariable calculus , overshoot (microwave communication) , benchmark (surveying) , sliding mode control , integral sliding mode , robust control , bounded function , linear system , tracking (education) , computer science , mode (computer interface) , control system , mathematics , nonlinear system , control engineering , engineering , control (management) , artificial intelligence , physics , pedagogy , mathematical analysis , psychology , electrical engineering , operating system , telecommunications , geodesy , quantum mechanics , geography
A robust continuous control for tracking a step reference signal without any overshoot and arbitrarily small rise time is proposed for a linear multivariable system. Integral sliding mode technique with the super‐twisting sliding mode is used to make the control robust against the matched disturbances with bounded derivatives. Moore's eigenstructure assignment is used to compute nominal control part of the integral sliding mode technique which makes the system output to track the step reference with arbitrarily small rise time and without any overshoot under some mild assumptions. The efficacy of the proposed control is validated using simulation results on benchmark quadruple tank model.