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Terminal sliding mode observers for uncertain linear systems with matched disturbance
Author(s) -
Mousavi Mohammad,
Rahnavard Mostafa,
Ayati Moosa,
Hairi Yazdi Mohammad Reza
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1953
Subject(s) - control theory (sociology) , convergence (economics) , lyapunov function , terminal sliding mode , observer (physics) , sliding mode control , state observer , mode (computer interface) , mathematics , computer science , control (management) , nonlinear system , physics , quantum mechanics , artificial intelligence , economics , economic growth , operating system
In this paper, a terminal sliding mode observer (TSMO) for systems with general state‐space representation is proposed. The effects of uncertainties and matched disturbances are incorporated in the system dynamics. Compared to conventional sliding mode observers, which are capable of finite time convergence of the measured states’ (outputs) errors and asymptotic convergence of unmeasured states’ errors, the proposed TSMO guarantees finite time convergence of all states. Three appropriate Lyapunov functions are defined for proving robust and finite time convergence of all state estimation errors of the TSMO. In addition, to highlight the effectiveness of the methodology, the developed TSMO is applied to a well‐known realistic wind turbine model. Results confirm that the proposed TSMO estimates all the states in finite time with good accuracy.