scholarly journals H∞ optimal singular and normal filter design for uncertain singular systems

2007 ◽  
Vol 1 (1) ◽  
pp. 119-126 ◽  
Author(s):  
C.-M. Lee ◽  
I.K. Fong
Keyword(s):  
Filter Design ◽  
Singular Systems ◽  
Normal Filter ◽  
Uncertain Singular Systems

scholarly journals H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Cheng Gong ◽  
Yi Zeng
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Singular Systems ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

Robust PD State Feedback Controller Design for Uncertain Singular Systems

2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Closed Loop Systems ◽  
Uncertain Singular Systems ◽  
Parameter Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

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.

Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Time-varying Delay⋆

2008 ◽  
Vol 41 (2) ◽  
pp. 5874-5879 ◽  
Author(s):  
Huijiao WANG ◽  
Anke XUE ◽  
Renquan LU ◽  
Xiaodong ZHAO ◽  
Xiaohui ZHOU
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay
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