Networked stabilization for multi-input systems over quantized fading channels

Abstract

This paper studies feedback stabilization for networked control systems (NCSs) over quantized fading channels placed at the plant input, which cover both logarithmic quantization and packet drop in the actuator channel. The notion of mean-square (MS) stability is developed in the input-output setting, and the MS stabilizability is studied for both single-input (SI) and multi-input (MI) systems under state feedback. A necessary and sufficient condition is derived for the MS stabilizability of the NCS over the quantized fading channel by using channel resource allocation. Our result improves the known MS stabilizability condition and complement the existing work in the NCS area.

Quantized H∞ filtering for discrete-time systems over fading channels

“…The necessary and sufficient condition for stabilization was given by the relation between the system’s Mahler measure and the channel capacity. Extending the results of Wan et al (2013), Gu et al (2015) studied the state feedback stabilization for multi-input systems over quantized fading channels. The output feedback quadratic mean square stabilization problem under quantization and fading channels was studied by Feng et al (2013).…”

Optimal Stationary State Estimation Over Multiple Markovian Packet Drop Channels

“…This decomposition is also a powerful tool when dealing with networked stabilization for multi-input systems over logarithmic quantization and i.i.d. fading channels [3,4,29].…”

Robust stability of uncertain linear systems with input and output quantization and packet loss

“…Besides, the quantized feedback control problem has been studied in different scenarios. For instance, Gu & Qiu (2014) put forward the polar logarithmic quantization for multi-input systems; Gu et al (2015) studied the mean-square stabilization for networked control systems with both fading channels and logarithmic quantization; (Coutinho et al 2010), Xia et al (2013) considered feedback control systems with input and output quantization. On the other hand, packet loss is also a widely studied topic as one of the main communication constraints, see, e.g., Rich & Elia (2015).…”