Nested strategies for the quantized feedback stabilization

2003 ◽  
Author(s):  
F. Fagnani ◽  
S. Zampieri
Keyword(s):  
Feedback Stabilization ◽  
Quantized Feedback

Quantized Feedback Stabilization of System With Network-Induced Delay

2015 ◽  
Vol 137 (10) ◽  
Author(s):  
J. Wang ◽  
H. Li
Keyword(s):  
Communication Channel ◽  
Design Procedure ◽  
The State ◽  
Feedback Stabilization ◽  
Polar Coordinates ◽  
Stabilization Problem ◽  
Quantized Feedback ◽  
Coding Scheme ◽  
Augmented System ◽  
The Stability

This paper considers the stabilization problem of a continuous linear system over a communication channel with network-induced delay. The channel is of finite data rate and connects the measurement sensor to the controller. Based on spherical polar coordinates, a novel coding scheme is proposed for this problem. In this coding scheme, the quantizer does not quantize the state of the original quantized system directly, but quantizes the state of the corresponding augmented system to produce control inputs, which simplifies the design of the coding scheme; a definite relation between the quantized data and the corresponding quantization error is used to facilitate the analysis of the stability of the system. Based on this coding scheme, the paper presents the condition guaranteeing the asymptotic stability of the system with network-induced delay and gives the design procedure of quantizer and controller. It is shown that adopting spherical polar coordinates makes the practical solving for the parameters of the quantizer and the controller numerically realistic.

Stabilization for Quantized Feedback Control Systems: An LMI Approach

2011 ◽  
Vol 383-390 ◽  
pp. 2161-2167
Author(s):  
Jin Fang
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Communication Channel ◽  
Feedback Stabilization ◽  
Control Problems ◽  
Quantization Scheme ◽  
Lmi Approach ◽  
Quantized Feedback ◽  
Feedback Control Systems ◽  
Proof Techniques

This paper addresses the feedback stabilization problem for quantized feedback control systems, where sensors and controllers are connected by a digital communication channel. A dynamic, logarithmic quantization scheme is proposed. It is shown that quantized feedback control problems can be converted to robust control problems. The proof techniques rely on the LMI approach. Simulation results show the validity of the proposed quantization policy.

LMI approaches to input and output quantized feedback stabilization of linear systems

2017 ◽  
Vol 315 ◽  
pp. 162-175 ◽  
Author(s):  
Xiao-Heng Chang ◽  
Zhi-Min Li ◽  
Jun Xiong ◽  
Yi-Ming Wang
Keyword(s):  
Linear Systems ◽  
Feedback Stabilization ◽  
Quantized Feedback ◽  
Input And Output
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