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1
Content available Jacking and energy consumption control over network for jack-up rig: simulation and experiment
Do Viet-Dung, Dang Xuan-Kien, Tran Tien-Dat, Pham Thi Duyen-Anh
Polish Maritime Research
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2022
|
nr 3
89--98
EN
Oil and gas projects differ from regular investment projects in that they are frequently large-scale, categorised as vital national projects, highly technological, and associated with significant risks. Drilling rigs are a crucial component of the oil and gas sector and the majority of the systems and equipment aboard drilling rigs are operated automatically. Consequently, it is crucial to address the topic of an advanced control theory for off-shore systems. Network technology connected to control is progressively being used to replace outdated technologies, together with other contemporary technologies. In this study, we examine how to adapt a networked control jacking system to the effects of internal and external disturbances with a time delay, using a Fuzzy controller (FC)-based particle swarm optimisation. To demonstrate the benefit of the proposed approach, the developed Fuzzy Particle Swarm Optimisation (FPSO) controller is compared with the fuzzy controller. Finally, the results from simulations and experiments utilising Matlab software and embedded systems demonstrate the suitability of the proposed approach.
2
Content available Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect
Tiwari R., Saeed A. M., Kumar R., Kumar A., Singhal A.
Archives of Mechanics
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2022
|
Vol. 74, nr 2-3
69--88
EN
Theory of non-local continuum is contemporary appraised and is found to be supplementary coherent to capture the impacts of each and every point of the material at its single point. The conviction of memory dependent derivative is also newly appraised and is observed to be more intuitionistic for predicting the realistic character of the real-world obstacles. Attractiveness of the belief of a memory dependent derivative lies in its unique properties such as its significant constituents – a kernel function and time-delay are freely selected according to the requirement of a problem. The present study comprises a new meticulous thermoelastic heat conduction model for the homogeneous, isotropic, thermoelastic half space medium concerning memory effects and non-local effects. Governing equations are constructed on the basis of the newly appraised non-local generalized theory of thermoelasticity with two phase lags in the frame of a memory dependent derivative. Exact analytical solutions of the physical fields such as dimensionless temperature, displacement as well as thermal stress are evaluated by using a suitable technique of the Laplace transform. Quantitative results are determined in a time-domain for different values of time by taking the numerical inversion of the Laplace transform. Noteworthy role of the constituents of the memory dependent derivative such as kernel function as well as time-delay factor has been scrutinized on the crucial field variables of the medium through computational outcomes. Moreover, the impact of non-local parameter is examined on the variations of field quantities through the quantitative results.
3
Content available Stability analysis of semi-active inerter-spring-damper suspensions based on time-delay
Liu Changning, Chen Long, Zhang Xiaoliang, Yang Xiaofeng
Journal of Theoretical and Applied Mechanics
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2020
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Vol. 58 nr 3
599--610
EN
To analyze the variation rule of the critical instability time-delay of the semi-active ISD suspension, a general solution was proposed and applied into two three-element-structure ISD suspensions. The dynamical response and the performance of the semi-active ISD suspension in various time-delays indicated that different structures had different suspension performance. The time-delay deteriorated the performance of all of the suspensions which were analyzed. The stability of the semi-active ISD suspension would seriously weaken with the critical time-delay. This paper provided a general solution for parameters selection in semi-active ISD suspension design to avoid the negative effect of the time-delay.
4
Content available An observer-based controller design for nonlinear discrete-time switched systems with time-delay and affine parametric uncertainty
Baleghi N. A., Shafiei M. H.
Archives of Control Sciences
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2020
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Vol. 30, No. 3
501--521
EN
This paper proposes a design procedure for observer-based controllers of discrete-time switched systems, in the presence of state’s time-delay, nonlinear terms, arbitrary switching signals, and affine parametric uncertainties. The proposed switched observer and the state-feedback controller are designed simultaneously using a set of linear matrix inequalities (LMIs).The stability analysis is performed based on an appropriate Lyapunov–Krasovskii functional with one switched expression, and in the meantime, the sufficient conditions for observer-based stabilization are developed. These conditions are formulated in the form of a feasibility test of a proposed bilinear matrix inequality (BMI) which is a non-convex problem. To make the problem easy to solve, the BMI is transformed into a set of LMIs using the singular value decomposition of output matrices. An important advantage of the proposed method is that the established sufficient conditions depend only on the upper bound of uncertain parameters. Furthermore, in the proposed method, an admissible upper bound for unknown nonlinear terms of the switched system may be calculated using a simple search algorithm. Finally, the efficiency of the proposed controller and the validity of the theoretical results are illustrated through a simulation example.
5
Content available Practical and asymptotic stabilities for a class of delayed fractional discrete-time linear systems
Ruszewski A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2019
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Vol. 67, nr 3
509--515
EN
The practical and asymptotic stabilities of delayed fractional discrete-time linear systems described by the model without a time shift in the difference are addressed. The D-decomposition approach is used for stability analysis. New necessary and sufficient stability conditions are established. The conditions in terms of the location of eigenvalues of the system matrix in the complex plane are given.
6
Content available LQG/LTR control of input-delayed discrete-time systems
Horla D., Krolikowski A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2019
|
Vol. 67, nr 6
1049--1058
EN
A simple robust cheap LQG control is considered for discrete-time systems with constant input delay. It is well known that the full loop transfer recovery (LTR) effect measured by error function ∆(z) can only be obtained for minimum-phase (MPH) systems without time-de-lay. Explicit analytical expressions for ∆(z) versus delay d are derived for both MPH and NMPH (nonminimum-phase) systems. Obviously, introducing delay deteriorates the LTR effect. In this context the ARMAX system as a simple example of noise-correlated system is examined. The robustness of LQG/LTR control is analyzed and compared with state prediction control whose robust stability is formulated via LMI. Also, the robustness with respect to uncertain time-delay is considered including the control systems which are unstable in open-loop. An analysis of LQG/LTR problem for noise-correlated systems, particularly for ARMAX system, is included and the case of proper systems is analyzed. Computer simulations of second-order systems with constant time-delay are given to illustrate the performance and recovery error for considered systems and controllers.
7
Content available Stability of discrete-time fractional linear systems with delays
Ruszewski Andrzej
Archives of Control Sciences
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2019
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Vol. 29, No. 3
549--567
EN
The stability analysis for discrete-time fractional linear systems with delays is presented. The state-space model with a time shift in the difference is considered. Necessary and sufficient conditions for practical stability and for asymptotic stability have been established. The systems with only one matrix occurring in the state equation at a delayed moment have been also considered. In this case analytical conditions for asymptotic stability have been given. Moreover parametric descriptions of the boundary of practical stability and asymptotic stability regions have been presented.
8
Content available remote Is the generalized Padé approximation of the dead time applicable to stability margins analysis?
Horla D.
Studia z Automatyki i Informatyki
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2017
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T. 42
19--27
EN
The paper discusses the applicability of the generalized Padé approximation to stability analysis of systems with time delays, which proves to be inapplicable. As the result of the approximation, the stability margin of the resulting fractional-order closed-loop system is strongly dependent on the order of the fractional-order approximation, leading to inaccuracies.
PL
W artykule przedstawiono dyskusję możliwości zastosowania uogólnionej aproksymacji Padégo w analizie stabilności układów regulacji zawierających opóźnienia transportowe, w wyniku czego stwierdzono niecelowość stosowalności metody. Na skutek aproksymacji, zapas stabilności otrzymanego zamkniętego układu ułamkowego rzędu silnie zależy od ułamkowego rzędu transmitancji aproksymującej opóźnienie, co prowadzi do niedokładności.
9
Content available remote Bode plot based stability analysis of a fractional-order PI controller with first-order time-delayed plant
Sadalla T.
Studia z Automatyki i Informatyki
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2017
|
T. 42
53--60
EN
The main aim of the paper is to present the stability analysis of a fractional-order PI controller with firstorder, time-delayed plant based on Bode plot. In the paper there is a comparison, presented between the tuning method based on Hermite-Biehler and Pontryagin theorems with, and without taking the gain and phase margins into consideration. The quality performance is based on two quality indices, namely the Integral of Absolute Error and the Integral of a Squared Error.
PL
Głównym celem artykułu jest analiza stabilności obiektu pierwszego rzędu z opóźnieniem oraz regulatora PI rzędu ułamkowego na podstawie charakterystyk Bode'go. W pracy zaprezentowano porównanie metod strojenia opartych na teoriach Hermite-Biehler'a i Pontryagin'a gdy zapas modułu oraz fazy są brane pod uwagę oraz gdy nie są brane pod uwagę. Jakość śledzenia jest oparta na dwóch wskaźnikach jakości całki z wartości bezwzględniej uchybu (IAE) oraz całki z kwadratu uchybu (ISE).
10
Content available remote Time-delay two-dimension mathieu equation in synchrotron dynamics
El-Dib Y. O.
Mechanics and Mechanical Engineering
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2017
|
Vol. 21, nr 3
499--511
EN
Two dimensions Mathieu equation containing periodic terms as well as the delayed parameters has been investigated in the present work. The present system represents to a generalized form of the one-dimension delay Mathieu equation. The mathematical difficulty for delay the coupled Mathieu equation has been overcome by using the matrices method. Properties of inverse complex matrices enable us to transform the vector form of the solvability conditions to the scalar form. Small oscillation about a marginal state is introduced by using the method of multiple scales. Stability criteria for the complex matrices have been established and lead to obtain resonance curves. The analysis has been extended so that the delay 2-dimensions Mathieu equation containing weak complex damping part. Stability conditions and the transition curves that included the influence of both the delayed as well the complex damping terms has been obtained. The transition curves are analyzed using the method of harmonic balance. We note that the delayed higher dimension of the parametric excitation has a great interest and application to the design of nuclear accelerators.
11
Content available Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional
Stojanovic S. B., Debeljkovic D. Lj., Antic D. S.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2015
|
Vol. 63, nr 2
479--487
EN
In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism of the stability criteria in comparison to estimation of the lower bound on LLF without this function. To solve the finite-time stabilization problem, a stabilizing linear state controller is designed by exploiting the cone complementarity linearization algorithm. Two numerical examples are given to illustrate the effectiveness of the proposed method.
12
Content available Controllability, reachability and minimum energy control of fractional discrete-time linear systems with multiple delays in state
Busłowicz M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2014
|
Vol. 62, nr 2
233--239
EN
In the paper the problems of controllability, reachability and minimum energy control of a fractional discrete-time linear system with delays in state are addressed. A general form of solution of the state equation of the system is given and necessary and sufficient conditions for controllability, reachability and minimum energy control are established. The problems are considered for systems with unbounded and bounded inputs. The considerations are illustrated by numerical examples. Influence of a value of the fractional order on an optimal value of the performance index of the minimum energy control is examined on an example.
13
Content available Analysis of chaotic dynamics of the Ikeda system of fractional order
Busłowicz M., Makarewicz A.
Pomiary Automatyka Robotyka
|
2013
|
R. 17, nr 2
321-326
EN
The paper considers the Ikeda chaotic system of fractional order. Using numerical simulations effects of fractional order, delay and parameters on chaotic behaviour of the system is investigated. Simulations are performed using Ninteger Fractional Control Toolbox for MATLAB
PL
Rozpatrzono chaotyczny układ Ikedy niecałkowitego rzędu. Stosując badania symulacyjne zbadano wpływ wartości niecałkowitego rzędu, opóźnienia oraz parametrów układu na możliwość występowania drgań chaotycznych. Badania przeprowadzono w środowisku systemu MATLAB/Simulink wykorzystując Ninteger Fractional Control Toolbox for MATLAB.
14
Content available Algebraic observability of linear differential–algebraic systems with delay
Zaczkiewicz Z.
Control and Cybernetics
|
2013
|
Vol. 42, no. 2
491--502
EN
The paper deals with the problem of algebraic observability for linear differential-algebraic systems with delay. For such systems, we present the observability matrix. By algebraic properties of the matrix we define some concepts of observability. We give necessary and sufficient conditions of these algebraic observabilities. We prove relations between these types of observabilities along with spectral observability. Practical verifiability of the conditions is demonstrated on several examples.
15
Content available Robust H∞ control for uncertain neutral time-delay systems with discrete and distributed delays
Sun M., Fu D.
Control and Cybernetics
|
2011
|
Vol. 40, no 1
25-38
EN
In this paper, the robust H∞ control problem is considered for uncertain neutral systems with discrete and distributed tirne delays. Some sumcient conditions on H∞, robust performance analysis are obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. Based on these conditions the state-feedback H∞ controller is designed. Numerical examples are included to illustrate the proposed method.
16
Content available Reachability and minimum energy control of positive discrete-time linear systems with multiple delays in state and control
Kaczorek T., Busłowicz M.
Pomiary Automatyka Kontrola
|
2007
|
R. 53, nr 10
40-44
EN
A notion of positive linear discrete-time systems with multiple delays in state and control is introduced. The necessary and sufficient conditions for positivity, reachability and minimum energy control are given. Considerations are illustrated by example.
PL
W pracy podano warunki, przy spełnieniu których liniowy dyskretny układ z wieloma opóźnieniami zmiennych stanu i sterowania jest układem dodatnim. Podano też warunki konieczne i wystarczające osiągalności oraz sterowania z minimalną energią. Rozważania zilustrowano przykładem.
17
Content available remote Observability of small solutions of linear differential-algebraic systems with delays
Zaczkiewicz Z., Marchenko V.
Control and Cybernetics
|
2006
|
Vol. 35, no 4
997-1013
EN
In this paper we investigate observability of small solutions of linear differential-algebraic systems with delays (DAD), i.e. solutions that vanish after some finite time. In particular, we prove existence of two kinds of small solutions of DAD systems. The main result are the rank type conditions for observability of three kinds of small solutions of linear differential-algebraic systems with delay.
18
Content available remote Robust stability of positive discrete-time interval systems with time-delays
Busłowicz M., Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2004
|
Vol. 52, nr 2
99-102
EN
Necessary and sufficient conditions for robust stability of the positive discrete-time interval system with time-delays are established. It is shown that this system is robustly stable if and only if one well defined positive discrete-time system with time-delays is asymptotically stable. The considerations are illustrated by numerical example.
19
Sterowanie prędkością nadawania wielu źródeł w szybkich sieciach transmisji danych
Karbowańczyk M., Bartoszewicz A.
Studia Informatica
|
2003
|
Vol. 24, nr 2A
161-170
PL
W artykule zaproponowano dyskretny układ sterowania prędkością nadawania danych przez wiele źródeł pracujących w szybkiej, połączeniowej sieci telekomunikacyjnej. Przedstawiony układ wykorzystuje regulator typu dead-bit oraz predyktor Smitha. Zaproponowane rozwiązanie zapewnia pełne wykorzystanie łącza i jednocześnie eliminuje niebezpieczeństwo przepełnienia bufora węzła stanowiącego wąskie gardło sieci.
EN
In this paper a discrete time flow control algorithm for fast, multisource, connection oriented commnication networks has been proposed. The algorithm combines Smith predictor with a conventional dead-bit controller. It has been proved that the algorithm assures full link utilisation and quarantees no packet loss in the controlled connections
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