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H control of a class of nonlinear systems using describing functions and simplicial algorithms

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2 Author(s)
Colgren, R.D. ; Lockheed Martin Corp., Palmdale, CA, USA ; Jonckheere, E.A.

This paper describes a new method for generating an H controller for a nonlinear system whose nonlinearities are modeled as describing functions. It is a three-step approach: modeling (using the describing function approach), synthesis (using the H loop shifting technique), and robustness analysis (using the labeling technique of simplicial algorithms). The method is first demonstrated by designing an optimal H controller for a first-order linear unstable system driven by a bang-bang actuator. A more complex example is used next to demonstrate loop shifting and simplicial algorithms as applied to a suboptimal problem. This system was implemented on a digital computer and in analog circuit form to demonstrate the practicality of the method

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Automatic Control, IEEE Transactions on  (Volume:42 ,  Issue: 5 )