Wyniki wyszukiwania - BazTech

1

On the control of the final speed for a class of finite-dimensional linear systems: controllability and regulation

Rachik Mostafa, Khaloufi Issam, Benfatah Youssef, Boutayeb Hamza, Laarabi Hassan

Archives of Control Sciences

|

2023

|

Vol. 33, No. 3

497--525

EN

In this article, we extended the concept of controllability, traditionally used to control the final state of a system, to the exact control of its final speed. Inspired by Kalman’s theory, we have established some conditions to characterize the control that allows the system to reach a desired final speed exactly. When the assumptions ensuring speed-controllability are not met, we adopt a regulation strategy that involves determining the control law to make the system’s final speed approach as closely as possible to the predefined final speed, and this at a lower cost. The theoretical results obtained are illustrated through three examples.

2

The fastest, simplified method of estimation of the largest Lyapunov exponent for continuous dynamical systems with time delay

Balcerzak M., Pikunov D.

Mechanics and Mechanical Engineering

|

2017

|

Vol. 21, nr 4

985--994

EN

This paper focuses on the applications of the new method of estimation of the Largest Lyapunov exponent. The method has been adapted to continuous dynamical systems with time delay. The paper presents efficiency of the new method in comparison with classical algorithms of LLE estimation. Computation times and convergence rates have been compared with the typically used method. It has been revealed in this paper that for the van der Pol oscillator, application of the new method increases the efficiency of calculations by 28% comparing to the classic one. Therefore, authors claim that the method presented in this paper is the fastest one in the assumed range of applications.

3

Natural frequency analysis of piezoelectric rods and their assemblies by compliance method

Cupiał P.

Vibrations in Physical Systems

|

2012

|

Vol. 25

109--116

EN

The vibrations of one-dimensional structures that consist of several interconnected members are conveniently analysed by matrix methods that include: the compliance (receptance) method, the mobility approach, dynamic stiffness method or the transfer matrix method. The paper presents the generalization of the classical receptance method to the coupled electromechanical vibrations of piezoelectric rods. Several compliance matrices are derived for piezoelectric rods undergoing longitudinal vibrations. These matrices can then be used in the derivation of the characteristic equations of rods with different boundary conditions as well as piezoelectric rod assemblies. The approach is illustrated by deriving the characteristic equation for a single piezoelectric rod with one end fixed and a spring and capacitor attached to its other end, as well as a two-rod assembly.

4

The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models

Byrski W., Byrski J.

International Journal of Applied Mathematics and Computer Science

|

2012

|

Vol. 22, no. 2

379-388

EN

The paper presents two methods used for the identification of Continuous-time Linear Time Invariant (CLTI) systems. In both methods the idea of using modulating functions and a convolution filter is exploited. It enables the proper transformation of a differential equation to an algebraic equation with the same parameters. Possible different normalizations of the model are strictly connected with different parameter constraints which have to be assumed for the nontrivial solution of the optimal identification problem. Different parameter constraints result in different quality of identification. A thorough discussion on the role of parameter constraints in the optimality of system identification is included. For time continuous systems, the Equation Error Method (EEM) is compared with the continuous version of the Output Error Method (OEM), which appears as a special sub-case of the EEM.

5

Application of agent cooperation by means of DES supervision to manufacturing system

Čapkovič F.

Archives of Control Sciences

|

2011

|

Vol. 21, no. 4

395-417

EN

The supervision of complex manufacturing systems is handled in this paper. Production lines of manufacturing systems are understood here to be hybrid agents. Such an agent expresses continuous material flow together with a set of imperative discrete operations. In other words, the hybrid agent makes a cooperation of continuous and discrete event devices possible. The results are applied to complex continuous manufacturing system. First Order Hybrid Petri Nets (FOHPN) are utilized in order to model the elementary autonomous hybrid agents. The cooperation of hybrid agents is based on the DES (discrete-event systems) control theory. It is realized by means of DES supervision methods and the agent negotiation is based on place/transition Petri nets (P/T PN). The proposed approach is illustrated in details on the cooperation of hybrid production lines in the real complex manufacturing systems recycling waste plastics into plastic bags. The usefulness and applicability of the approach consists especially in the fact that the procedures in analytical terms can be employed. In such a way the approach turns lucid also in complicated cases.

6

On Time-Optimal Vibration Control of One-Dimensional Distributed Parameter Systems

Cupiał P.

Machine Dynamics Problems

|

2005

|

Vol. 29, No. 2

5-22

EN

The paper is concerned with the calculation of time-optimal, open-loop controls of one-dimensional vibrating systems (strings and beams). The problem consists in finding the forces or kinematic excitations which bring the initial displacements and velocities or the transient response of the system to zero in the shortest time. The solutions of the vibration problems are expressed in terms of Fourier series and the selection of the optimum solution is reduced to the l-problem of moments. Explicit time-optimal boundary controls are calculated for several cases including a string controlled by a force or displacement applied at one end and a beam with a control moment at the end. In the case of boundary control generalized Fourier solutions are used which are discussed at some length.

7

Czasowooptymalne sterowanie drganiami membrany kołowej

Cupiał P.

Czasopismo Techniczne. Mechanika

|

2004

|

R. 101, z. 5-M

69--79

PL

W pracy rozważono zagadnienie wyznaczenia minimalnoczasowych sterowań drganiami membrany kołowej w układzie otwartym. Podano rozwiązanie drgań membrany przy wymuszeniu siłą przyłożoną do powierzchni membrany oraz przemieszczeniem brzegu. Opisano sposób wyznaczania sterowań optymalnych stosując tzw. metodę momentów. Podejście zostało zilustrowane wykresami sterowania optymalnego i odpowiedzi układu otrzymanych na drodze symulacji numerycznych.

EN

The paper discusses the problem of the calculations of the open-loop time-optimal controls of a circular membrane. The solutions of the vibration of a membrane excited by a force excitation applied to the membrane surface and kinematic boundary excitation is discussed. An efficient method of calculating the time-optimal controls, the so-called method of l-moments, is discussed. The approach has been illustrated by plots of example time-optimal controls and the response of the system, obtained from numerical simulations.

8

Feedback Stabilization of Continuous Systems by Adding an Integrator

Outbib R., Aggoune W.

International Journal of Applied Mathematics and Computer Science

|

1999

|

Vol. 9, no 4

871-881

EN

This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.