An optimal dynamic quantizer for feedback control with discrete-valued signal constraints

2007 ◽  
Author(s):  
Yuki Minami ◽  
Shun-ichi Azuma ◽  
Toshiharu Sugie
Keyword(s):  
Feedback Control ◽  
Optimal Dynamic ◽  
Dynamic Quantizer

Optimal Dynamic Quantizers for Feedback Control With Discrete-Level Actuators: Unified Solution and Experimental Evaluation

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
Shun-ichi Azuma ◽  
Yuki Minami ◽  
Toshiharu Sugie
Keyword(s):  
Feedback Control ◽  
Closed Form ◽  
Experimental Evaluation ◽  
Current Data ◽  
General Linear ◽  
Positioning System ◽  
Discrete Level ◽  
The Past ◽  
Optimal Dynamic ◽  
Dynamic Quantizer

This paper proposes to use optimal dynamic quantizers for feedback control in mechatronics systems when the actuator signals are constrained to discrete-valued signals. Here, the dynamic quantizer is a device that transforms the continuous-valued signals into the discrete-valued ones depending on the past signal data, as well as the current data. First, a closed form optimal quantizer is presented in a general linear fraction transformation representation setting. The optimal quantizer minimizes the deviation of the output produced by the quantized signals from the corresponding output yielded by the continuous-valued signals before quantization. Then, its experimental evaluation is performed by using a crane positioning system with a discrete-valued input to demonstrate the effectiveness of the proposed quantizers.

Stabilization of Optimal Dynamic Quantized System with Packet Loss

2014 ◽  
Vol 18 (2) ◽  
pp. 128-134
Author(s):  
Mu Li ◽  
◽  
Lihua Dou ◽  
Jie Chen ◽  
Jian Sun
Keyword(s):  
Packet Loss ◽  
State Feedback ◽  
Controller Design ◽  
Design Method ◽  
Matrix Inequality ◽  
Stabilization Problem ◽  
Mean Square Stability ◽  
Optimal Dynamic ◽  
Forward Channel ◽  
Dynamic Quantizer

This paper is concerned with the stabilization problem of an optimal dynamic quantized system with packet loss. The optimal dynamic quantizer, which minimizes the quantized output error, is designed for a discretetime system with packet loss occurring in the forward channel. A sufficient condition for the system’s mean square stability is developed based on matrix inequality method. A state feedback controller design method is also proposed, and numerical simulation demonstrates the effectiveness of the proposed method.

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