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TRACKING DOMAINS FOR UNSTABLE PLANTS WITH SATURATING‐LIKE ACTUATORS
Author(s) -
Yakubovich V.A.,
Nakaura S.,
Furuta K.
Publication year - 1999
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 - 10.1111/j.1934-6093.1999.tb00022.x
Subject(s) - control theory (sociology) , tracking (education) , actuator , lyapunov function , simple (philosophy) , domain (mathematical analysis) , mathematics , stability (learning theory) , function (biology) , time domain , computer science , mathematical analysis , control (management) , nonlinear system , physics , artificial intelligence , psychology , pedagogy , philosophy , epistemology , quantum mechanics , machine learning , evolutionary biology , biology , computer vision
In many mechanical systems, the tracking control is one of the most important issues. Therefore for the unstable system subject to actuator saturation, the domain of the initial states corresponding to an arbitrary reference signal, within which tracking condition can be achieved, is interesting to be considered. In this paper, an approximate tracking domain is derived analytically. First in Theorem 1, for simple case, it is constructed by using the partial Lyapunov function and the absolute stability theory. In the following Theorems 2 and 3, a new idea is used to obtain larger domains. Finally in the last section, a simple numerical example is given.