Open AccessDisturbance estimation based tracking control for periodic piecewise time‐varying delay systems
Author(s) -
Sakthivel Rathinasamy,
Harshavarthini Shanmugam,
Tatar NasserEddine
Publication year - 2020
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/cth2.12055
Subject(s) - control theory (sociology) , dwell time , piecewise , estimator , filter (signal processing) , tracking (education) , disturbance (geology) , mathematics , computer science , control (management) , psychology , mathematical analysis , pedagogy , paleontology , artificial intelligence , biology , medicine , clinical psychology , statistics , computer vision
This work is mainly focused on the design of uncertainty and disturbance estimator‐based tracking control scheme for a class of periodic piecewise time‐varying delay systems with uncertainties and disturbances. Precisely, the considered system consists of several subsystems, where the fixed dwell time and switching sequence are utilised to achieve the coordination between each subsystem. By constructing Lyapunov–Krasovskii functional with time‐varying periodic piecewise matrices and employing the matrix polynomial approach, an uncertainty and disturbance estimator‐based periodic tracking control design is developed such that the trajectories of the considered system are driven to track the reference model. Moreover, the lumped disturbances so called the summation of uncertainties and exogenous disturbances are estimated with the aid of strictly proper low‐pass filter. Finally, a numerical example is presented to verify the effectiveness and advantages of the developed theoretical results.