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See detailInput-to-output stabilization of nonlinear systems via backstepping
Efimov, Denis ULg; Fradkov, Alexander

in International Journal of Robust and Nonlinear Control (2009), 19

An extension of a backstepping method for the stabilization of nonlinear systems with respect to a set is presented. Robust control laws providing the system with input-to-output stability are proposed ... [more ▼]

An extension of a backstepping method for the stabilization of nonlinear systems with respect to a set is presented. Robust control laws providing the system with input-to-output stability are proposed. Possibilities of non-strict Lyapunov functions’ application are discussed. The differences between a conventional backstepping method and an approach proposed in Kolesnikov (Synergetic Control Theory. Energoatomizdat: Moscow, 1994; 344) are analyzed. Performance of the obtained solutions is demonstrated by computer simulation for pendulum with an actuator example. [less ▲]

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