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Mixed-norm \(H_ 2/H_{\infty}\) regulation and estimation: The discrete- time case. (English) Zbl 0728.93033

Summary: A discrete-time \(H_ 2\) static output feedback design problem involving a constant in \(H_{\infty}\) disturbance attenuation is addressed and state space formulae are derived. The dual problem of discrete-time dynamic estimation with an \(H_{\infty}\) error bound is also addressed. These results are analogous to results obtained previously for the continuous-time problem.

MSC:

93B50 Synthesis problems
93C55 Discrete-time control/observation systems
93D15 Stabilization of systems by feedback
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