Control of Discrete-Time Descriptor Systems

Belov, Alexey A.; Andrianova, Olga G.; Kurdyukov, Alexander P.

doi:10.1007/978-3-319-78479-3

Cited by 24 publications

(5 citation statements)

References 50 publications

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“…Consider the following hydraulic tank system represented in Figure 8, which is assembled with three tanks, pips and a pump. We mode this hydraulic tanks system 38 as…”

Section: Numerical Examplesmentioning

confidence: 99%

Observer-based event-triggered sliding mode control of the discrete-time singular networked systems

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article is concerned with the [Formula: see text] observer-based sliding mode control via event-triggered strategy for the discrete-time singular networked systems. To improve network communication efficiency, an event-triggered strategy is introduced. Under the premise of considering the design convenience of the sliding mode surface for discrete-time singular networked systems, the observer is constructed to estimate the states of the system. From the event-triggered strategy–based observer and the sliding mode control technology, the augmented closed-loop discrete-time singular networked system is obtained. Then, new sufficient admissible criteria of discrete-time singular networked systems are derived, satisfying a given [Formula: see text] performance level. The synchronous design method of the event-triggered strategy observer gain and sliding mode control one is provided as solvable linear matrix inequalities. The sliding mode control law is designed to obtain better sliding mode accessibility and less chattering. Finally, two examples are provided to verify the effectiveness of the proposed method.

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“…Consider the following hydraulic tank system represented in Figure 8, which is assembled with three tanks, pips and a pump. We mode this hydraulic tanks system 38 as…”

Section: Numerical Examplesmentioning

confidence: 99%

Observer-based event-triggered sliding mode control of the discrete-time singular networked systems

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Gantmacher [7] y Luenberger [14,15] afirman que un aspecto importante para la existencia de la solución son las condiciones iniciales consistentes, y que junto con la regularidad del sistema garantizan la unicidad de la solución. Usando una descomposición matricial de Weierstrass es posible obtener de forma explícita esta solución [4,21,1]. Además, Ishihara y Terra [10,11] usan una descomposición matricial en valores singulares para analizar la regularidad y la estabilidad del sistema lineal singular.…”

Section: Introductionunclassified

Solución de sistemas lineales singulares basada en minimización

Casavilca

2023

ProMath

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En este artículo se introduce un nuevo concepto de solución de un sistema lineal singular (sistema descriptor), basado en minimización. Se demuestra que, imponiendo una hipótesis en las matrices del sistema descriptor, la solución basada en minimización existe y es única para cualquier condición inicial. En particular, si la condición inicial es consistente, entonces la solución basada en minimización coincide con la solución clásica. En este trabajo también se da un ejemplo numérico donde se calcula la solución basada en minimización para diferentes condiciones iniciales.

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“…Descriptor systems (also known as singular systems), which are first proposed by Rosenbrock in the 1970s [1] are a class of more general dynamic systems than general ones. They have been widely used in many fields in recent years [2][3][4], and increasing attention has been paid to the study of descriptor systems [5][6][7]. Moreover, many characteristics of analysis and synthesis in general systems theory also have been extended to descriptor systems [8,9].…”

Section: Introductionmentioning

confidence: 99%

Optimal preview repetitive control for impulse-free continuous-time descriptor systems

Lan

Zhao

Wang

2021

Applied Mathematics and Nonlinear Sciences

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This paper concerns the design problem of optimal preview repetitive control (OPRC) for impulse-free continuous-time descriptor systems. First, by using a linear transformation, the descriptor system is transformed into a normal system with relatively low dimensionality and an algebraic system. Based on this, an augmented system which contains the error vector and the derivative of the normal system is constructed. Then, applying the lift technique and introducing a new performance index, the OPRC designing problem is converted into a regulation problem. Based on the optimal control theory, the regulator problem of the augmented system is solved. Furthermore, the explicit OPRC law for the original system is deduced. Different from the existing results, the preview feed-forward and error integral compensations are added into the OPRC system, which can significantly improve the tracking performance. Finally, a numerical example simulation result verifies the validity of the proposed method.

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Control of Discrete-Time Descriptor Systems

Cited by 24 publications

References 50 publications

Observer-based event-triggered sliding mode control of the discrete-time singular networked systems

Observer-based event-triggered sliding mode control of the discrete-time singular networked systems

Solución de sistemas lineales singulares basada en minimización

Optimal preview repetitive control for impulse-free continuous-time descriptor systems

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