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2 International Journal of Applied Mathematics and Computer Science

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A Problem of Robust Control of a System With Time Delay

Blizorukova M., Kappel F., Maksimov V.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 4

821-834

A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational noises and computational errors.

Robust Dynamic Input Reconstruction for Delay Systems

Kappel F., Maksimov V.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 2

283-307

A problem of reconstruction of a non-observable control input for a system with a time delay is analyzed within the framework of the dynamical input reconstruction approach (see Kryazhimskii and Osipov, 1987; Osipov and Kryazhimskii, 1995; Osipov et al., 1991). In (Maksimov, 1987; 1988) methods of dynamical input reconstruction were described for delay systems with fully observable states. The present paper provides an input reconstruction algorithm for partially observable systems. The algorithm is robust to the observation perturbations.