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State Convergence of Passive Nonlinear Systems With an L^{2} Input

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2 Author(s)
Jayawardhana, B. ; Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands ; Weiss, G.

We show that the state of a strictly output passive system with an L 2 input converges to zero. The result is applied to the disturbance rejection problem (with reference signal zero), where the disturbance can be decomposed into a finite superposition of sine waves of arbitrary but known frequencies and an L 2 signal. Using an LTI controller, constructed based on the internal model principle, the state trajectories of the plant (and hence also the error signal) converge to zero.

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Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 7 )