An implicit class of continuous dynamical system with data-sample outputs: a robust approach
Por:
Juarez, Raymundo, Azhmyakov, Vadim, Espinoza, A. Tadeo, Salas, Francisco G.
Publicada:
1 jun 2020
Resumen:
This paper addresses the problem of robust control for a class of
nonlinear dynamical systems in the continuous time domain. We deal with
nonlinear models described by differential-algebraic equations (DAEs) in
the presence of bounded uncertainties. The full model of the control
system under consideration is completed by linear sampling-type outputs.
The linear feedback control design proposed in this manuscript is
created by application of an extended version of the conventional
invariant ellipsoid method. Moreover, we also apply some specific
Lyapunov-based descriptor techniques from the stability theory of
continuous systems. The above combination of the modified invariant
ellipsoid approach and descriptor method makes it possible to obtain the
robustness of the designed control and to establish some well-known
stability properties of dynamical systems under consideration. Finally,
the applicability of the proposed method is illustrated by a
computational example. A brief discussion on the main implementation
issue is also included.
Filiaciones:
Juarez, Raymundo:
Autonomous Univ Coahuila, Fac Accounting & Management, Torreon 27000, Coahuila, Mexico
Azhmyakov, Vadim:
Univ EAFIT, Dept Math Sci, Medellin 050022, Antioquia, Colombia
Espinoza, A. Tadeo:
Juarez Univ State Durango, Fac Engn Sci & Architecture, Gomez Palacio, Durango, Mexico
Salas, Francisco G.:
Autonomous Univ Coahuila, Fac Accounting & Management, Torreon 27000, Coahuila, Mexico
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