Automatyka
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ISSN 1429-3447
e-ISSN: 2353-0952
Issue Date
2011
Volume
T. 15
Number
Nr 1
Description
Journal Volume
Automatyka
T. 15 (2011)
Projects
Pages
Articles
Estymacja stanu w układach liniowych przy skwantowanych pomiarach wyjść
(Wydawnictwa AGH, 2011) Bania, Piotr
Paper describes state estimator for linear systems with quantized measurement. When quantization interval tends to zero estimator became Kalman-Bucy filter. If measurement noise intensity is low relative to quantization interval, then estimation error could be several times smaller than estimation error of Kalman-Bucy filter. Considerations are illustrated with examples.
Warunki normalności zasady maksimum Pontriagina dla zadań z ograniczeniami stanu końcowego
(Wydawnictwa AGH, 2011) Bania, Piotr
A version of Pontryagin's Maximum Principle for optimal control problems with final state and control time constraints is presented. Sufficient conditions for normality of Lagrange multipliers are given. Considerations are illustrated with examples.
Zagadnienie tautochrony
(Wydawnictwa AGH, 2011) Górecki, Henryk
In the paper, a theoretical solution for the motion of cycloidal pendulum is presented. The period of oscillations of such a pendulum is independent of the amplitude of oscillations. This enables construction of very precise clocks. It turns out that the curve called tautochrone is, at the same time, the curve of quickest descent in the gravitational field, that is, brachystochrone. The birth of the sinusoid curve, so popular in electrical engineering, is also described.
Optimal control of an Infinite Order Hyperbolic System with Multiple Time-Varying Lags
(Wydawnictwa AGH, 2011) Kowalewski, Adam
In this paper an optimal distributed control problem for an infinite order hyperbolic system in which different multiple time-varying lags appear both in the state equation and in the boundary condition is considered. Making use of Lion's scheme (Lions 1971), necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional and constrained control are derived.
Is a fractional system a dynamical system?
(Wydawnictwa AGH, 2011) Mitkowski, Wojciech
In recent years we may notice a return to the analysis of fractional systems. Such systems are described in the form of differential equations with fractional derivative. In this paper we notice the fact that this type of differential equations does not generate dynamical system. We show suitable numerical example.