Last issue
2016 (vol. 26) - Number 4


Andrzej Ruszewski:

Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model



D. Krokavec, A. Filasova, P. Liscinsky:

On fault tolerant control structures incorporating fault estimation



Sundarapandian Vaidyanathan:

Hyperchaos, adaptive control and synchronization of a novel 4-D  hyperchaotic system with two quadratic nonlinearities



H. Górecki, M. Zaczyk:

Analytic solutions of transcendental equations with application to automatics



F. Mnif:

Predictor-based stabilization for chained form systems with input time delay



S. Daniar, R. Aazami, M. Shiroei:

Multivariable predictive control considering time delay for load-frequency control in multi-area power systems



T. Kaczorek:

Analysis and comparison of the stability of discrete-time and continuous-time linear systems



M. Rachik, M. Lhous:

An observer-based control of linear systems with uncertain parameters



L. Malinski:

Identification of stable elementary bilinear time-series model



V.V. Huynh:

New observer-based control design for mismatched uncertain systems with time-delay




ACS Abstract:

2015 (Volume 25)
Number 4
1.

Robust switched controller design for linear continuous-time systems

2.

On the optimal control problem for two regions’ macroeconomic model

3.

Multi-region fuzzy logic controller with local PID controllers for U-tube steam generator in nuclear power plant

4.

Disturbance attenuation problem using a  differential game approach for feedback linear quadratic descriptor systems

5.

Compound-combination synchronization of chaos in  identical and different orders chaotic systems

6.

Stability of fractional positive nonlinear systems

7.

Pinning synchronization of two general complex networks with periodically intermittent control

8.

Reference trajectory tracking for a  multi-DOF robot arm



Robust switched controller design for linear continuous-time systems

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A. Ilka
(Chalmers University of Technology, Göteborg, Sweden)
V. Veselę
(Slovak University of Technology in Bratislava, Slovakia)

In this paper we study a  novel approach to the design of a  robust switched controller for continuous-time systems described by a  novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a  novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a  numerical examples are investigated.

keywords: switched system, robust controller, output feedback, quadratic stability, multi parameter dependent quadratic stability

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On the optimal control problem for two regions’ macroeconomic model

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P.G. Surkov
(Ural Federal University, Ekaterinburg, Russia)

In this paper we consider a  model of joint economic growth of two regions. This model bases on the classical Kobb-Douglas function and is described by a  nonlinear system of differential equations. The interaction between regions is carried out by changing the balance of trade. The optimal control problem for this system is posed and the Pontryagin maximum principle is used for analysis the problem. The maximized functional represents the global welfare of regions. The numeric solution of the optimal control problem for particular regions is found. The used parameters was obtained from the basic scenario of the MERGE.

keywords: integrated assessment model for evaluating greenhouse gases reduction policies, optimal control, Pontryagin’s maximum principle

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Multi-region fuzzy logic controller with local PID controllers for U-tube steam generator in nuclear power plant

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B. Puchalski, K. Duzinkiewicz, T. Rutkowski
(Gdańsk University of Technology, Poland)

In the paper, analysis of multi-region fuzzy logic controller with local PID controllers for steam generator of pressurized water reactor (PWR) working in wide range of thermal power changes is presented. The U-tube steam generator has a  nonlinear dynamics depending on thermal power transferred from coolant of the primary loop of the PWR plant. Control of water level in the steam generator conducted by a  traditional PID controller which is designed for nominal power level of the nuclear reactor operates insufficiently well in wide range of operational conditions, especially at the low thermal power level. Thus the steam generator is often controlled manually by operators. Incorrect water level in the steam generator may lead to accidental shutdown of the nuclear reactor and consequently financial losses. In the paper a  comparison of proposed multi region fuzzy logic controller and traditional PID controllers designed only for nominal condition is presented. The gains of the local PID controllers have been derived by solving appropriate optimization tasks with the cost function in a  form of integrated squared error (ISE) criterion. In both cases, a  model of steam generator which is readily available in literature was used for control algorithms synthesis purposes. The proposed multi-region fuzzy logic controller and traditional PID controller were subjected to broad-based simulation tests in rapid prototyping software – Matlab/Simulink. These tests proved the advantage of multi-region fuzzy logic controller with local PID controllers over its traditional counterpart.

keywords: nuclear power plant, U-tube steam generator, PID control, fuzzy logic, multi-region PID controller, advanced control systems.

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Disturbance attenuation problem using a  differential game approach for feedback linear quadratic descriptor systems

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M.W. Musthofa
(Mathematics Department UIN Sunan Kalijaga, Indonesia)

This paper studies the H∞ disturbance attenuation problem for index one descriptor systems using the theory of differential games. To solve this disturbance attenuation problem the problem is converted into a  reduced ordinary zero-sum game. Within a  linear quadratic setting the problem is solved for feedback information structure.

keywords: disturbance attenuation problem, zero-sum linear quadratic differential game, descriptor systems, feedback information structure

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Compound-combination synchronization of chaos in  identical and different orders chaotic systems

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K.S. Ojo, N. Njah, O.I. Olusola
(University of Lagos, Nigeria)

This paper proposes a  new synchronization scheme called compound-combination synchronization. The scheme is investigated using six chaotic Josephson junctions evolving from different initial conditions based on the drive-response configuration via the active backstepping technique. The technique is applied to achieve compound-combination synchronization of: (i) six identical third order resistive-capacitive-inductive-shunted Josepshon junctions (RCLSJJs) (with three as drive and three as response systems); (ii) three third order RCLSJJs (as drive systems) and three second order resistive-capacitive-shunted Josepshon junctions (RCSJJs (as response systems). In each case, sufficient conditions for global asymptotic stability for compound-combination synchronization to any desired scaling factors are achieved. Numerical simulations are employed to verify the feasibility and effectiveness of the compound-combination synchronization scheme. The result shows that this scheme could be used to vary the junction signal to any desired level and also give a  better insight into synchronization in biological systems wherein different organs of different dynamical structures and orders are involved. The scheme could also provide high security in information transmission due to the complexity of its dynamical formulation.

keywords: control and applications of chaos, low- and high-dimensional chaos, numerical simulations of chaotic models, synchronization, coupled oscillators

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Stability of fractional positive nonlinear systems

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T. Kaczorek
(Bialystok University of Technology, Poland)

The conditions for positivity and stability of a  class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a  Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear system

keywords: positive, fractional, nonlinear, system, stability

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Pinning synchronization of two general complex networks with periodically intermittent control

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F. Meng
(Civil Aviation University of China, Tianjin, China)
B. Wen
(Tianjin University of Finance and Economics, China)
W. Bao
(Civil Aviation University of China, Tianjin, China)

In this paper, the method of periodically pinning intermittent control is introduced to solve the problem of outer synchronization between two complex networks. Based on the Lyapunov stability theory, differential inequality method and adaptive technique, some simple synchronous criteria have been derived analytically. At last, both the theoretical and numerical analysis illustrate the effectiveness of the proposed control methodology. This method not only reduces the conservatism of control gain but also saves the cost of production.These advantages make this method having a  large application scope in the real production process.

keywords: complex networks synchronization, pinning control, intermittent control

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Reference trajectory tracking for a  multi-DOF robot arm

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R. Krasòanskę, P. Valach, D. Soós
(Slovak University of Technology in Bratislava, Slovakia)
J. Zarbakhsh
(Carinthia University of Applied Science, Villach, Austria)

This paper presents the problem of tracking the generated reference trajectory by the simulation model of a  multi-DOF robot arm. The kinematic transformation between task space and joint configuration coordinates is nonlinear and configuration dependent. To obtain the solution of the forward kinematics problem, the homogeneous transformation matrix is used. A solution to the inverse kinematics is a  vector of joint configuration coordinates calculated using of pseudoinverse Jacobian technique. These coordinates correspond to a  set of task space coordinates. The algorithm is presented which uses iterative solution and is simplified by considering steper motors in robot arm joints. The reference trajectory in Cartesian coordinate system is generated on-line by the signal generator previously developed in MS Excel. Dynamic Data Exchange communication protocol allows sharing data with Matlab-Simulink. These data represent the reference tracking trajectory of the end effector. Matlab-Simulink software is used to calculate the representative joint rotations. The proposed algorithm is demonstrated experimentally on the model of 7-DOF robot arm system.

keywords: inverse kinematics, real-time reference tracking, signal generator, multi-DOF, dynamic data exchange

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