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Robust \(H_\infty\) control of distributed delay systems with application to combustion control. (English) Zbl 1017.93038
Two types of linear systems with distributed time delay are considered. A stability and \(L_2\)-gain criterion is established. A state-feedback control design which stabilizes the distributed delay system and achieves a guaranteed disturbance attenuation level in spite of a polytopic uncertainty in the system parameters is derived. This method is applied to the robust stabilization and control of combustion in rocket motor chambers.

MSC:
93B36 \(H^\infty\)-control
93C23 Control/observation systems governed by functional-differential equations
93C95 Application models in control theory
93D21 Adaptive or robust stabilization
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