Archives of Control Sciences

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2022 (vol. 32) - Number 1

J. Cvejn:

The magnitude optimum design of the PI controller for plants with complex roots and dead time

Coexisting of self-excited and hidden attractors in a new 4D hyperchaotic Sprott-S system with a single equilibrium point

M.A. Hammami, N. El Houda Rettab, F. Delmotte:

On the state estimation for nonlinear continuous-time fuzzy systems

M. Ilyas, M.A. Khan, A. Khan, Wei Xie, Y. Khan:

Observer design estimating the propofol concentration in PKPD model with feedback control of anesthesia administration

L. Moysis, M. Tripathi, M. Marwan:

Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization

S. Vaidyanathan, K. Benkouider, A. Sambas:

A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation

T.T. Tuan, H. Zabiri, M.I.A. Mutalib, Dai-Viet N. Vo:

Disturbance-Kalman state for linear offset free MPC

Yuan Xu, Jun Wang:

A novel multiple attribute decision-making method based on Schweizer-Sklar t-norm and t-conorm with q-rung dual hesitant fuzzy information

T. Kaczorek:

Observers of fractional linear continuous-time systems

ACS Abstract:

2009 (Volume 19)
Number 3

1.	Controllers of the boost DC-DC converter accounting its minimum- and nonminimum-phase nature
2.	LQ optimal and reaching law based design of sliding mode supply policy for inventory management systems
3.	Optimal distributed control problems of retarded parabolic systems
4.	Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems with state-feedbacks
5.	Pole placement method for DC motor torque controller
6.	Analytical and neuro-fuzzy modeling for fault detection and identification for nonlinear systems: application to robot manipulator

Controllers of the boost DC-DC converter accounting its minimum- and nonminimum-phase nature

R. Gessing
(Silesian University of Technology, Gliwice, Poland)

It is shown that the model of the boost DC-DC converter is minimum phase for operation on the left-hand side of the extremum of the steady state characteristic and nonminimum phase - on the right-hand side. For operation on the left-hand side a simple proportional controller is proposed which gives significantly better quality of control than many other controllers appearing in literature. However, it is noted that efficiency of the converter during operation on the left-hand side is smaller, therefore another original proposal of the controller based on nonlinear transformation and state feedback, designed for operation on the right-hand side, is proposed.

keywords: nonlinear systems, minimum/nonminimum phase systems, switched systems, PWM modulation, power electronics

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LQ optimal and reaching law based design of sliding mode supply policy for inventory management systems

P. Ignaciuk, A. Bartoszewicz
(Technical University of Lodz, Lodz, Poland)

In this paper, the theory of discrete sliding-mode control is used to design new supply strategies for periodic-review inventory systems. The proposed strategies guarantee that demand is always entirely satisfied from the on-hand stock (yielding the maximum service level), and the warehouse capacity is not exceeded (what eliminates the cost associated with emergency storage). In contrast to the classical, stochastic approaches, in this paper, we focus on optimizing the inventory system dynamics. The parameters of the first control strategy are selected by minimizing a quadratic cost functional. Next, it is shown how the system dynamical performance can be improved by applying the concept of reaching law combined with dead-beat control. The stable, non-oscillatory behavior of the closed-loop system is demonstrated, and the properties of the designed controllers are discussed and strictly proved.

keywords: sliding-mode control, inventory control, discrete-time systems

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Optimal distributed control problems of retarded parabolic systems

A. Kowalewski, A. Krakowiak
(AGH University of Science and Technology, Cracow, Poland)

Optimal distributed control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.

keywords: distributed control, parabolic systems, time lags, linear quadratic problem, quadratic programming method

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Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems with state-feedbacks

T. Kaczorek
(Białystok Technical University, Białystok, Poland)

The pointwise completeness and pointwise degeneracy of standard and positive fractional linear discrete-time and continuous-time systems with state-feedbacks are addressed. It is shown that the pointwise completeness and pointwise degeneracy of the fractional positive continuous-time systems are invariant under the state and output feedbacks. Necessary and sufficient conditions are established for the existence of gain matrices of state-feedbacks for standard and positive linear systems such that the closed-loop systems are pointwise complete. Considerations are illustrated by numerical examples.

keywords: pointwise completeness, pointwise degeneracy, positive fractional linear system, feedback

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Pole placement method for DC motor torque controller

G. Sieklucki
(AGH University of Science and Technology, Cracow, Poland)

The work describes the use of pole placement state-space method for parametric optimization of motor torque controller. Presented method is universal for any type of mathematical model in contrast to standard optimization (optimal shape or optimal modulus criterion). The general oscillatory element is analyzed. Mathematical models of separately excited and brushless DC motors are compared. Ready to use relationship for parametric optimization of motor torque controller is presented. The results of the simulation, in the environment Matlab-Simulink, of the closed-loop control system are shown.

keywords: electric drive, oscillatory element, motor torque controller, state-space, pole placement, normalized Bessel polynomials, separately excited DC motor (brush), brushless DC (BLDC) motor

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Analytical and neuro-fuzzy modeling for fault detection and identification for nonlinear systems: application to robot manipulator

M.S. Lazeregue, H. Salhi
(Laboratoire Systemes Dept. Electonique, Universite Saad Dahlab, Soumaa, Blida, Algerie)

M. Tadjine
(Process Conrol Laboratory. Dept E.E. ENP, Alger, Algerie)

This work deals with modeling and fault detection and identification for robot manipulator. We have used for a dynamical system a hybrid approach. The model is decomposed into two parts: first, a certain part modeled using classical analytical theory and it is preferable to be linear. Second, an uncertain part representing the nonlinearities neglected in the first part, which is modeled using neuro-fuzzy modeling. Both analytical redundancy and neuro-fuzzy modeling are used to improve robustness. The analytical redundancy is used to generate residuals for the fault detection and location procedure. The neuro-fuzzy modeling is used to model modeling errors and faults, which allows performing the robustness and the sensitivity. Thanks to neuro-fuzzy modeling the errors of modeling are compensated and the faults are well identified as it is shown through the results of simulation.

keywords: dynamical system, robot manipulator, neuro-fuzzy modeling, identification, error compensation, fault detection and identification

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