Posted Dec 1, 1995

H Optimization With Uncertainty in the Plant

By J. William Helton, Orlando Merino and Trent E. Walker

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This paper gives optimality conditions for a parameterized family of OPT problems. These are the kind which arise when there is uncertainty in the math model of the system to be controlled.

The main result presented here gives the first order (neccesary) conditions for solutions to H optimization problems where there is an uncertainty parameter. These conditions can be stated as a set of equations which when solved produce excellent candidates for solutions, thus our result should lead to concrete algorithms in the spirit of the highly successful ones found by the authors for the certain plant case. How one crafts such algorithms for this uncertain case is indicated, but not analysed or tested.

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