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1

Robust hybrid synchronization control of chaotic 3-cell CNN with uncertain parameters using smooth super twisting algorithm

Siddique Nazam, Rehman Fazal, Raoof Uzair, Iqbal Shahid, Rashad Muhammad

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2023

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Vol. 71, nr 5

art. no. e146474

EN

This paper presents the control design framework for the hybrid synchronization (HS) and parameter identification of the 3-Cell Cellular Neural Network. The cellular neural network (CNN) of this kind has increasing practical importance but due to its strong chaotic behavior and the presence of uncertain parameters make it difficult to design a smooth control framework. Sliding mode control (SMC) is very helpful for this kind of environment where the systems are nonlinear and have uncertain parameters and bounded disturbances. However, conventional SMC offers a dangerous chattering phenomenon, which is not acceptable in this scenario. To get chattering-free control, smooth higher-order SMC formulated on the smooth super twisting algorithm (SSTA) is proposed in this article. The stability of the sliding surface is ensured by the Lyapunov stability theory. The convergence of the error system to zero yields hybrid synchronization and the unknown parameters are computed adaptively. Finally, the results of the proposed control technique are compared with the adaptive integral sliding mode control (AISMC). Numerical simulation results validate the performance of the proposed algorithm.

2

Robust Trajectory Tracking Control of Space Manipulators in Extended Task Space

Banaszkiewicz Marek, Węgrzyn Marek, Basmadji Fatina L., Galicki Mirosław

Pomiary Automatyka Robotyka

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2022

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R. 26, nr 4

27--35

EN

This study provides a new class of controllers for freeflying space manipulators subject to unknown undesirable disturbing forces exerted on the end-effector. Based on suitably defined taskspace non-singular terminal sliding manifold and the Lyapunov stability theory, we derive a class of estimated extended transposed Jacobian controllers which seem to be effective in counteracting the unstructured disturbing forces. The numerical computations which are carried out for a space manipulator consisting of a spacecraft propelled by eight thrusters and holonomic manipulator of three revolute kinematic pairs, illustrate the performance of the proposed controller.

PL

W pracy zaproponowano nową klasę sterowników dla manipulatorów kosmicznych przy uwzględnieniu nieznanych, niepożądanych sił zakłócających wywieranych na koniec efektora. W oparciu o odpowiednio zdefiniowane nieosobliwą, końcową rozmaitość ślizgową i teorię stabilności Lapunowa wyprowadzono klasę rozszerzonych estymowanych transponowanych sterowników Jakobianowych, ktore wydają się być efektywne w przeciwdziałaniu nieustrukturyzowanych sił zakłócających. Podejście zilustrowano również obliczeniami numerycznymi dla manipulatora kosmicznego składającego się z bazy napędzanej przez osiem pędników typu cold-gas i manipulatora holonomicznego o trzech parach kinematycznych obrotowych.

3

Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: a discrete-time case

Zubowicz T., Brdyś M. A.

International Journal of Applied Mathematics and Computer Science

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2013

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Vol. 23, no. 1

65--73

EN

This paper addresses the problem of model-based global stability analysis of discrete-time Takagi–Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.

4

An adaptive output feedback motion tracking controller for robot manipulators: Uniform global asymptotic stability and experimentation

Yarza A., Santibanez V., Moreno-Valenzuela J.

International Journal of Applied Mathematics and Computer Science

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2013

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Vol. 23, no. 3

599--611

EN

This paper deals with two important practical problems in motion control of robot manipulators: the measurement of joint velocities, which often results in noisy signals, and the uncertainty of parameters of the dynamic model. Adaptive output feedback controllers have been proposed in the literature in order to deal with these problems. In this paper, we prove for the first time that Uniform Global Asymptotic Stability (UGAS) can be obtained from an adaptive output feedback tracking controller, if the reference trajectory is selected in such a way that the regression matrix is persistently exciting. The new scheme has been experimentally implemented with the aim of confirming the theoretical results.

5

On stability of equilibrium in linear thermoviscoelasticity

Ciobanu G. Gr.

Archives of Mechanics

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2006

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Vol. 58, nr 1

3-16

EN

We present some results concerning the uniform Lyapunov stability of the generalized solution of an equilibrium problem for thermoviscoelastic materials [9]. These results are similar to those obtained in [4-7]. The results in [4] were subsequently developed for exterior domains in [8].