New results are derived for the stability analysis of bilinear systems (BLS) with output feedback of a general form which includes linear control functions, quadratic functions, all functions which satisfy Lipschitz condition and others. Theorems and applications are obtained for time-variant, continuous and discrete BLS. The results form a base for adaptive trajectory-tracking controllers.
The sufficient conditions which are derived can be applied directly to the range of admissible controller gains for given plant parameters, or there is a trade off between controller and plant design parameters. The method does not depend on the computation of a Liapunov function and indirect stability analysis as do most techniques which are available in the literature. In the continuous case, certain necessary conditions also are derived. A field-controlled, electric motor example is presented.
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