Global stabilization of parametric chained-form systems by time-varying dynamic feedback.

*(English)*Zbl 0866.93093This 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.

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.

Reviewer: R.K.Bose (New Delhi)

##### MSC:

93D21 | Adaptive or robust stabilization |

93C40 | Adaptive control/observation systems |

93C99 | Model systems in control theory |