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\(H_ \infty\)-control using polynomial matrices and interval arithmetic. (English) Zbl 0884.65067

A linear time-invariant system is considered. An \(H_\infty\)-approach (using transfer and polynomial functions) to calculate compensators in the frequency domain is proposed. For the computer implementation an interval arithmetic method is applied to realize numerical algorithms with result verification. This approach is applied to the lateral axis of a single engine VISTA F-16 supersonic test vehicle.

MSC:

65K10 Numerical optimization and variational techniques
65G30 Interval and finite arithmetic
93B36 \(H^\infty\)-control
93C99 Model systems in control theory
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