Wyniki wyszukiwania - BazTech

1

A novel robust H1 fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varyin delay

Assawinchaichote W.

Control and Cybernetics

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2014

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Vol. 43, no. 2

227--248

EN

This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.

2

Delay-dependent dissipative control for stochastic singular systems with state delay

Ding C., Li Q.

Archives of Control Sciences

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2013

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Vol. 23, no. 3

281--293

EN

The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.

3

The Dynamic Model of Closed-Loop Supply Chain with Product Recovering and its Robust Control

Qiu R., Huang X., Lu Z.

Przegląd Elektrotechniczny

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2012

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R. 88, nr 9b

1-4

EN

In recent years, closed-loop supply chain (CLSC) operation has been an important method to recover waste materials and products for resource conservation and environmental protection and paid more attention in industry and academia. We establish a dynamic model for closedloop supply chain with product recovering with the consideration of some uncertainties including remanufacturing rate, disposal rate, operation costs and customers’ demand in this paper. Furthermore, we provide some insights about robust operation of closed-loop supply chain and propose a robust H∞ control strategy based on linear matrix inequality (LMI) arithmetic. Some simulations are executed to validate the effectiveness of our control strategy, and the results show that through state feedback control of supply chain inventories, it can not only make the CLSC achieve the goal of restraining uncertainty disturbances, but also result in an ideal operation cost.

PL

Closed loop supply chain (CLCP – zamknięta pętla łańcucha zasobów) jest dziś ważną metodą odzyskiwania zmarnowanego materiału i produktu w celu ochrony środowiska i konserwacji zasobów. Zaproponowano model dynamiczny uwzględniający niepewności typu tempo produkcji, tempo usuwania, koszty operacyjne i żądania klienta.

4

Zastosowanie LMI do syntezy obserwatorów liniowych ciągłych układów niecałkowitego rzędu

Kociszewski R.

Pomiary Automatyka Kontrola

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2010

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R. 56, nr 5

392-395

PL

W pracy rozpatrzono problem syntezy obserwatorów liniowych układów ciągłych niecałkowitego rzędu. Wykorzystując aparat liniowych nierówności macierzowych (LMI) sformułowano warunki oraz podano procedury do wyznaczania macierzy wzmocnień obserwatorów, dla rzędu ? układu: 0 < α < 1 i 1 < α < 2. Rozważania zilustrowano przykładem liczbowym. Obliczenia i symulacje wykonano w środowisku Matlab/Simulink.

EN

Many sophisticated analytical procedures to control system design are based on the assumption that the full state vector is available for measurement. The example of such control procedure is placement of the unstable system eigenvalues. In many systems of practical importance, however, the entire state vector is not available for measurement. In some systems, for example, measurements may require the use of costly measurement devices and it may be unreasonable to measure all state variables. An auxiliary dynamical system, which reconstructs the state vector, is known as a full-order or an identity observer, and is coupled to the original system through the available system inputs and outputs [14]. The paper presents a problem of synthesis of full-order observers for fractional continuous-time linear systems. It has been shown that this problem can be formulated and solved by the use of linear matrix inequalities (LMI) methods [15]. Two cases of fractional order i.e. 0 < α < 1 and 1 < α < 2 of the system (1) have been considered. Necessary and sufficient conditions (Theorem 1 and 2) for solvability of the problem as well as two procedures (Procedure 1 and 2) for computation of a gain matrix L of asymptotic stable observer (2) have been given. The proposed approach is illustrated with a practical example. Numerical calculations have been performed in the Matlab package and accompanied by public domain software: SeDuMi solver and YALMIP parser. The LMI approach to observer synthesis for fractional continuous-time linear systems has not been considered as yet.

5

A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching

Zhai G., Xu X.

International Journal of Applied Mathematics and Computer Science

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2010

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Vol. 20, no 2

249-259

EN

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.