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Global stabilization of parametric chained-form systems by time-varying dynamic feedback. (English) Zbl 0866.93093

This paper has discussed the global stabilization of nonlinear systems of a particular type (class of linearly parametrized systems) with certain assumptions imposed on the system. A novel systematic design strategy to construct a smooth time-varying adaptive controller which globally stabilizes the system has been developed. A combination of currently popular backstepping and time-varying techniques has been employed.
The design procedure is dealt with in section 2. Section 3 presents the main stability theorem, using classical Lyapunov functions arguments such as La Salle’s invariance principle. The method has been illustrated in Section 4 by considering a third-order nonlinear system and simulation results are presented also.

MSC:

93D21 Adaptive or robust stabilization
93C40 Adaptive control/observation systems
93C99 Model systems in control theory
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