Stability analysis of networked control systems with time-varying sampling periods

Abstract

In this paper, we present an interval model of networked control systems with time-varying sampling periods and time-varying network-induced delays and discuss the problem of stability of networked control systems using Lyapunov stability theory. A sufficient stability condition is obtained by solving a set of linear matrix inequalities. In the end, the illustrative example demonstrates the correctness and effectiveness of the proposed approach.

Optimal guaranteed cost control of NCSs with time-varying sampling

“…For example, system modeling and stability analysis [1,2];robust and H control analysis [3,4,5];the optimal guaranteed cost control [6][7][8];system controller design problem [9,10,11]. All the above brings new opportunities and challenges to the networked control systems.…”

“…The sampling periods will fluctuate at a nominal value, and thus will produce a variety of uncertainties and disturbances, in which a class of uncertainties can be described as interval control systems [12]. In [1], the stability of a dynamic interval system was studied, which was obtained from the closed-loop feedback system for the networked control system with time-varying sampling period. [13] made a detailed study on robust control for two interval systems which are discrete and continuous systems respectively.…”

Nonfragile Reliable Guaranteed Cost Controller Design for Networked Control System with Variable Sampling Period Sensors

“…In [16], the nonstatic observer and state controller are designed, with no disturbances and noises are taken into account, and the application condition of the separation principle is discussed. The dynamic interval principle is used by Liu et al to design the corresponding controller [17], but the algorithm proposed is complicated and needs a great deal of computations. In [18], for the system with uncertain and time-varying sampling period and time-delay, the stability and control issues of systems are addressed, the sampling period which is uncertain and time-varying and the time delay are transformed into polytopic and additive norm-bounded uncertainties in the discretized system.…”

H<inf>&#x221E;</inf> controller design of networked control systems with time-varying sampling periods

“…In NCSs, constant sampling period is usually adopted [2][3][4][5][6], if constant sampling period is adopted, sampling period should be large enough to avoid network congestion when the network is occupied by the most users, so network bandwidth cannot be sufficiently used when the network is idle. Recently, there are a number of papers considering the problem of varying sampling period of control systems [7][8][9][10]. In the work of [7,8], the stability problem of digital feedback control systems with time-varying sampling periods is discussed.…”

“…In the work of [7,8], the stability problem of digital feedback control systems with time-varying sampling periods is discussed. In [9], the authors present an interval model of networked control systems with time-varying sampling periods and time-varying network-induced delays and discuss the problem of stability of networked control systems. In [10], the stochastic stability of NCSs with time-varying sampling periods and delays driven by two Markov chains are discussed.…”