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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Published on: September 8, 2023

Quantized stabilization of wireless networked control systems with packet losses.

Feng-Lin Qu¹, Bin Hu², Zhi-Hong Guan²

¹College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China; College of Science, Wuhan University of Science and Technology, Wuhan 430065, PR China.

ISA Transactions

|May 22, 2016

Summary

This study addresses stabilizing discrete-time linear systems using wireless networks. We found a logarithmic quantizer stabilizes wireless network-controlled systems (WNCS), enabling robust stabilization design.

Keywords:

Mean square quadratic stability Packet losses Quantized stabilization Wireless networked control systems (WNCSs)

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Published on: February 6, 2014

Area of Science:

Control Systems Engineering
Networked Control Systems
Stochastic Systems

Background:

Stabilization of discrete-time linear systems is crucial for reliable operation.
Wireless networks introduce challenges in transmitting sensor and controller data for control systems.
Markov jump systems provide a framework for analyzing systems with abrupt changes.

Purpose of the Study:

To investigate the stabilization of discrete-time linear systems over wireless networks.
To determine the optimal quantizer and controller design for wireless network-controlled systems (WNCS).
To develop a method for designing optimal quantizers and controllers using linear matrix inequality (LMI).

Main Methods:

Modeling the wireless network-controlled system as a Markov jump system.
Transforming the stabilization problem into a robust stabilization problem of an uncertain system.
Utilizing linear matrix inequality (LMI) for the optimal quantizer and controller design.

Main Results:

The coarsest quantizer that ensures mean square quadratic stability for WNCS is logarithmic.
The stabilization of WNCS can be effectively transformed into the robust stabilization of an equivalent uncertain system.
An LMI-based method for designing optimal quantizers and controllers is presented and validated.

Conclusions:

Logarithmic quantizers are optimal for stabilizing discrete-time linear systems over wireless networks.
The proposed LMI-based design method provides an effective approach for WNCS stabilization.
The theoretical results are demonstrated through a numerical example, confirming their practical applicability.