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Compensation of external perturbations by dynamical feedback with respect to the output variable. (Russian, English) Zbl 1114.93310

Prikl. Mekh., Kiev 42, No. 5, 132-144 (2006); translation in Int. Appl. Mech. 42, No. 5, 606-616 (2006).
For a mechanical system controlled by the feedback principle a problem on a regulator synthesis is considered under restriction of the matrix norm of transfer function between the system output and external perturbation. It is assumed that only a part of the system phase vector can be measured. The problem is considered in two cases: static and dynamical feedback with respect to the output variables. A problem on a helicopter stabilization is considered as an example.

MSC:

93C05 Linear systems in control theory
49J15 Existence theories for optimal control problems involving ordinary differential equations
93C41 Control/observation systems with incomplete information