Title :
Stabilization of chain of integrators with arbitrary order in finite-time
Author :
Konstantin Zimenko;Andrey Polyakov;Denis Efimov
Author_Institution :
Department of Control Systems and Informatics, ITMO University, 49 Kronverkskiy av., 197101 Saint Petersburg, Russia
Abstract :
A control algorithm for finite-time stabilization of a chain of integrators with arbitrary order is introduced. The method is based on Implicit Lyapunov Function (ILF) approach with applying properties of homogeneous systems. Scheme of control parameter tuning is presented in Linear Matrix Inequality (LMI) form. The method is simple in implementation and does not assume any additional computational on-line procedures that is an improvement with respect to [8], [11]. The theoretical results are supported by numerical simulations.
Keywords :
"Lyapunov methods","Stability analysis","Tuning","Linear matrix inequalities","Symmetric matrices","Control design"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7402942
