T–S fuzzy model-based impulsive control of chaotic systems with exponential decay rate

2007 ◽  
Vol 370 (3-4) ◽  
pp. 260-264 ◽  
Author(s):  
Xingwen Liu ◽  
Shouming Zhong
Keyword(s):  
Decay Rate ◽  
Exponential Decay ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Fuzzy Model ◽  
Model Based ◽  
Exponential Decay Rate

Impulsive control for T–S fuzzy model-based chaotic systems

2008 ◽  
Vol 79 (3) ◽  
pp. 409-415 ◽  
Author(s):  
Qishui Zhong ◽  
Jingfu Bao ◽  
Yongbin Yu ◽  
Xiaofeng Liao
Keyword(s):  
Chaotic Systems ◽  
Impulsive Control ◽  
Fuzzy Model ◽  
Model Based

SYNCHRONIZATION OF UNCERTAIN CHAOTIC SYSTEMS BASED ON THE FUZZY-MODEL-BASED APPROACH

2006 ◽  
Vol 16 (05) ◽  
pp. 1435-1444 ◽  
Author(s):  
H. K. LAM ◽  
F. H. F. LEUNG
Keyword(s):  
Chaotic Systems ◽  
Fuzzy Model ◽  
Parameter Design ◽  
Parameter Uncertainties ◽  
Model Based ◽  
Synchronization Problem ◽  
Programming Techniques ◽  
Uncertain Chaotic Systems ◽  
Switching Controller ◽  
The Stability

This paper investigates the synchronization of chaotic systems subject to parameter uncertainties. Based on the fuzzy-model-based approach, a switching controller will be proposed to deal with the synchronization problem. The stability conditions will be derived based on the Lyapunov approach. The tracking performance and parameter design of the proposed switching controller will be formulated as a generalized eigenvalue minimization problem which can be solved numerically using some convex programming techniques. Simulation examples will be given to show the effectiveness of the proposed approach.

scholarly journals Assessment of Patellar Tendon Reflex Responses Using Second-Order System Characteristics

2016 ◽  
Vol 2016 ◽  
pp. 1-4 ◽  
Author(s):  
Brett D. Steineman ◽  
Pavan Karra ◽  
Kiwon Park
Keyword(s):  
Decay Rate ◽  
Natural Frequency ◽  
Patellar Tendon ◽  
Exponential Decay ◽  
Second Order ◽  
Order System ◽  
Sample Population ◽  
Exponential Decay Rate ◽  
Tendon Reflex ◽  
Patellar Tendon Reflex

Deep tendon reflex tests, such as the patellar tendon reflex (PTR), are widely accepted as simple examinations for detecting neurological disorders. Despite common acceptance, the grading scales remain subjective, creating an opportunity for quantitative measures to improve the reliability and efficacy of these tests. Previous studies have demonstrated the usefulness of quantified measurement variables; however, little work has been done to correlate experimental data with theoretical models using entire PTR responses. In the present study, it is hypothesized that PTR responses may be described by the exponential decay rate and damped natural frequency of a theoretical second-order system. Kinematic data was recorded from both knees of 45 subjects using a motion capture system and correlation analysis found that the meanR2value was 0.99. Exponential decay rate and damped natural frequency ranges determined from the sample population were −5.61 to −1.42 and 11.73 rad/s to 14.96 rad/s, respectively. This study confirmed that PTR responses strongly correlate to a second-order system and that exponential decay rate and undamped natural frequency are novel measurement variables to accurately measure PTR responses. Therefore, further investigation of these measurement variables and their usefulness in grading PTR responses is warranted.

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