Journal Article10.5897/IJPS11.1514
Observer design for rectangular discrete-time singular systems with time-varying delay
TL;DR: In this paper, the observer design problem for rectangular discrete-time singular systems with time-varying delay is discussed and the delay-dependent sufficient condition that there exists a state observer is established.
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Abstract: In this paper, observer design problem for rectangular discrete-time singular systems with time-varying delay is discussed. Based on restricted system equivalent (RSE) transformations and by introducing new state vectors, the problem is transformed into observer design problem for time-varying delay discrete-time standard state-space systems. By Lyapunov function method and linear matrix inequality (LMI) technique, the delay-dependent sufficient condition that there exists a state observer is established. The design method of matrix is discussed and the coefficient matrices of function observer are given. Finally, a numerical example is given showing the effectiveness of the method given in the paper.
Key words: Rectangular discrete-time singular systems, time-varying delay, observer design, linear matrix inequality (LMI), delay-dependent.
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Citations
An effcient observer design method for singular discrete-time systems with time delays and nonlinearity: LMI approach
TL;DR: In this article, the observer design method for linear and nonlinear singular discrete-time systems with constant time-delays is proposed by constructing appropriate Lyapunov-Krasovskii functional and using linear matrix inequality (LMI) technique, which can be solved numerically using MATLAB® LMI® toolbox.
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•Journal Article
Observer Design for Discrete Time-delay Singular Systems with Unknown Inputs
TL;DR: In this article, the observer design problem for linear discrete multiple delays rectangular singular systems with unknown inputs is discussed. But it is not shown how to design a sufficient condition for the existence of an observer whose dimension is the same as the state dimension of the system.
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K voprosu sushchestvovaniya resheniy vyrozhdennykh sistem s diskretnym vremenem
A. A. Shcheglova
TL;DR: This study investigates solvability of nonstationary linear and nonlinear discrete-time systems with rectangular matrix coefficients, determining the maximum number of unknown vectors that can be found from a finite number of equations on a finite horizon.
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