Abstract
This paper aims to stabilize a switched linear system which transmits its feedback information through digital communication networks. It investigates the effects of three factors on stabilization of the concerned system, including bounded network delay, unknown switching time instants and limited information to represent the system state. The network delay cannot be precisely known, may degrade the system’s performance and even destabilize it. Compared with the earlier work on delay-free switched linear systems, it needs to place stricter restrictions on the feedback data rate conditions and the average dwell time. It assumes that the switching is slow enough in the sense of combined dwell time and average dwell time, each individual mode is stabilizable and the available feedback data rate is high enough, but still finite. It proposes some encoding and control strategies to stabilize the switched linear systems with bounded network delay under some feedback data rate conditions.
Highlights
In this paper, we consider the control of switched linear systems with bounded network delay based on the limited feedback information of their states
We need to consider three factors, including bounded network delay, the unknown switching signal and the limited information of the system states, which play a critical role in stabilizing the concerned systems
The above switched systems belong to networked control systems (NCSs), which have been a hot topic in recent years [1]
Summary
We consider the control of switched linear systems with bounded network delay based on the limited feedback information of their states. R. Chen et al.: Feedback Stabilization of Switched Linear Systems With Bounded Network Delay Under Finite Data Rates between the sampling and receiving time instants, i.e., network delay, and places an upper bound on the network delay. Some research results regarding the quantized control of Markov jump linear system appear in [24]–[26] and [27], but their concerned systems are different from the one of this paper It was shown in [28], [29] that there exist encoding and control strategies to stabilize. Remark 1: In this paper, we assume that a family of such stabilizing gains {Kp}p∈P have been selected and fixed to ensure that the closed-loop system matrix Ap + BpKp is Hurwitz for ∀p ∈ P
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