H/sub infinity / control of nonlinear systems using describing functions and simplicial algorithms

A novel method for generating the optimal H/sub infinity / controller for a nonlinear system is discussed. It is a three-step approach encompassing modeling (using the describing function approach), synthesis (using the H/sub infinity / loop shifting technique), and robustness analysis (using the labeling technique of simplicial algorithms). The method is first demonstrated by designing an optimal H/sub infinity / controller for an unstable system driven by a bang-bang actuator. This system was implemented on a digital computer and in analog circuit form to demonstrate the practicality of the method.<
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