Global stabilization of partially linear composite systems using homogeneous method

A linear feedback control scheme to globally stabilize a class of partially linear composite systems is proposed from the point view of homogeneity. Assume that the global stability of the zero dynamics of the nonlinear subsystem can be tested by using a homogeneous Lyapunov function. It is shown that the stabilization of the linear controllable subsystem from its own states equals to the stabilization of the whole systems if the nonlinearities satisfy a homogeneous inequality condition. Then we assume that the states are not measurable and also extend the method developed for state-feedback control to the output-feedback case. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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