The Absolute Stability of Systems with Multiple Nonlinearities

摘要

Popov's criterion for the absolute stability of nonlinear systems is generalized to include a class of multivariable systems. Both the linear plant and the memoryless nonlinearity are assemed to have several inputs and outputs. Continuous time systems and systems involving time lag are treated. An extension to the main stability criterion may be applied when bounds are available on the slopes of the nonlinearity. It is shown that a simplified form of the criterion leads to a passivity condition for an N-port network. Although the stability criterion is in general difficult to apply, it is demonstrated that in some cases the condition may be simplified and still give useful results. (Author)