ON THE OBSERVABILITY OF CONTINUOUS-TIME DYNAMIC FUZZY CONTROL SYSTEMS

2007 ◽  
Vol 15 (01) ◽  
pp. 75-91
Author(s):  
YUHU FENG ◽  
MIN CHEN ◽  
LIANGJIAN HU
Keyword(s):  
Fuzzy Control ◽  
Control Systems ◽  
Continuous Time ◽  
Necessary Conditions ◽  
Rule Base ◽  
Sufficient Condition ◽  
Initial Value ◽  
Time Dynamic ◽  
Sufficient And Necessary Conditions ◽  
Logic Description

This paper studies the observability of the initial value of continuous-time dynamic fuzzy control systems. The sufficient and necessary conditions for the initial value of fuzzy control system to be observable are given. A concept called strong observability is introduced and a sufficient condition for the initial value of system to be strongly observable is discussed. The fuzzy logic description of input-output relations using IF-THEN rule base is presented.

scholarly journals Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
Kai Wang ◽  
Zhidong Teng ◽  
Fengqin Zhang
Keyword(s):  
Function Method ◽  
Global Attractivity ◽  
Necessary Conditions ◽  
Nutrient Recycling ◽  
Liapunov Function ◽  
Sufficient Condition ◽  
Chemostat Model ◽  
Dynamic Behaviors ◽  
Analysis Technique ◽  
Sufficient And Necessary Conditions

The dynamic behaviors in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. By introducing new analysis technique, the sufficient and necessary conditions on the permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, the sufficient condition on the global attractivity of the model is established. Finally, an example is given to demonstrate the effectiveness of the results in this paper.

scholarly journals Numerical Optimization Design of Dynamic Quantizer via Matrix Uncertainty Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Kenji Sawada ◽  
Seiichi Shin
Keyword(s):  
Control Systems ◽  
Continuous Time ◽  
Numerical Optimization ◽  
Optimization Design ◽  
Networked Control Systems ◽  
Networked Control ◽  
Sampled Data ◽  
Switching Speed ◽  
Time Dynamic ◽  
Dynamic Quantizer

In networked control systems, continuous-valued signals are compressed to discrete-valued signals via quantizers and then transmitted/received through communication channels. Such quantization often degrades the control performance; a quantizer must be designed that minimizes the output difference between before and after the quantizer is inserted. In terms of the broadbandization and the robustness of the networked control systems, we consider the continuous-time quantizer design problem. In particular, this paper describes a numerical optimization method for a continuous-time dynamic quantizer considering the switching speed. Using a matrix uncertainty approach of sampled-data control, we clarify that both the temporal and spatial resolution constraints can be considered in analysis and synthesis, simultaneously. Finally, for the slow switching, we compare the proposed and the existing methods through numerical examples. From the examples, a new insight is presented for the two-step design of the existing continuous-time optimal quantizer.

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