New bounded real lemma for discrete-time singular systems

Automatica ◽  
2008 ◽  
Vol 44 (3) ◽  
pp. 886-890 ◽  
Author(s):  
Gaomin Zhang ◽  
Yuanqing Xia ◽  
Peng Shi
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Bounded Real Lemma

A Bounded Real Lemma for Discrete-Time Markovian Jump Singular Systems

2013 ◽  
Vol 16 (1) ◽  
pp. 303-307 ◽  
Author(s):  
Jumei Wei ◽  
Rui Ma ◽  
Xiaowu Mu
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Markovian Jump ◽  
Bounded Real Lemma

scholarly journals H∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Yifu Feng ◽  
Zhi-Min Li ◽  
Xiao-Heng Chang
Keyword(s):  
Discrete Time ◽  
Filter Design ◽  
Design Method ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Nonlinear Singular Systems ◽  
Attenuation Level ◽  
Measurement Output

This paper investigates the problem of H∞ filtering for class discrete-time Lipschitz nonlinear singular systems with measurement quantization. Assume that the system measurement output is quantized by a static, memoryless, and logarithmic quantizer before it is transmitted to the filter, while the quantizer errors can be treated as sector-bound uncertainties. The attention of this paper is focused on the design of a nonlinear quantized H∞ filter to mitigate quantization effects and ensure that the filtering error system is admissible (asymptotically stable, regular, and causal), while having a unique solution with a prescribed H∞ noise attenuation level. By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized H∞ filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the effectiveness of the proposed quantized filter design method.

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