Wyniki wyszukiwania - BazTech

1

Metoda zwiększenia dokładności modeli uzyskiwanych metodą przekaźnikową

Kula K.

Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej

|

2017

|

Nr 57

55--60

PL

W pracy przedstawiona została metoda zwiększenia dokładności wyznaczania parametrów cyklu granicznego metodą przekaźnikową. Dzięki zmniejszeniu nachylenia zbocza przekaźnika uzyskuje się lepsze wyniki linearyzacji harmonicznej, co pozwala na dokładniejsze wyznaczenie funkcji opisującej oraz wzmocnienia krytycznego. Pozwala to poprawić jakość modeli, które tym samym lepiej odzwierciedlają własności obiektów regulacji.

EN

The paper presents a simple and useful method that shows how to determine parameters of the ultimate cycle. The method allows to improve estimation of the parameters of the ultimate cycle by a dozen or so percent. It is achieved by reducing a slope of relay characteristic to ca. 1,15-1,45 of the ultimate gain. As a result the main harmonic is more dominant then the remaining harmonics of the Fourier series and allows the estimation of the parameters of the ultimate cycle to be improved as well. Thanks them the models of control processes that are created using the relay method can be more accurate what is particularly important in model-based control systems. The supervisory system for carrying out an identification experiment was developed using Matlab / Simulink software. The results of simulations show that better estimations of ultimate point are particularly important in models sensitive to their deviations, such as the SOPDT model.

2

Stabilization of Second-order Systems by Non-linear Feedback

Skruch P.

International Journal of Applied Mathematics and Computer Science

|

2004

|

Vol. 14, no 4

455-460

EN

A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.

3

Observability of linear stationary system with delay

Minyuk S., Tsekhan O.

Systems Science

|

2002

|

Vol. 28, nr 3

5-17

EN

The necessary and sufficient parametric conditions of complete observability (complete identifiability) of linear stationary system with delay are obtained. An example of completely identifiable but not completely observable system is given. The problem of continuous identification for the spectral observable second order system with delay is investigated. The continuation identification operator for this system is constructed in an explicit form.

4

On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order

Belozyorov V. Y.

International Journal of Applied Mathematics and Computer Science

|

2001

|

Vol. 11, no 2

377-389

EN

The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.