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UBC Theses and Dissertations

On the absolute stability of nonlinear control systems Chen, Cheng-Fu


Sufficient conditions for the absolute stability of a class of nonlinear sampled-data systems are derived using the techniques of system transformations due to Aizerman and Gantmacher. These criteria are based on different forms used to approximate the area under the nonlinear characteristic. It is also shown that the stability criterion can be improved by relaxing a restriction on the slope of nonlinear element. In multiple nonlinearily continuous systems, by the application of numerical techniques, it was shown that some improvement over previous stability bounds can be made.

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