Absolute stability and stabilization for Lurie networked control systems

Abstract

SUMMARYThis paper investigates the problem of absolute stability and stabilization for networked control systems (NCSs) with the controlled plant being Lurie systems (Lurie NCSs), in which the network-induced delays are assumed to be time-varying and bounded. By considering the relationship between the network-induced delay and its upper bound, an improved stability criterion for networked control system is proposed. Furthermore, the resulting condition is extended to design a state feedback controller by employing an improved cone complementary linearization (ICCL) algorithm. A numerical example is worked out to illustrate the effectiveness and the benefits of the proposed method.

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

“…And the existence of time delays is the sources of poor performance and instability. Hence, many researchers have been paid much effort on the stability of delayed dynamical systems [16,17,22,23,25,26,[31][32][33][34][35]37,[41][42][43][44]46]. Moreover, almost all existing physical and engineering systems unavoidably include uncertainties due to inaccurate modeling, component aging, measurement errors, exterior conditions, or parameter variations [45].…”

On the effects of time delay variations in the design of networked control system

“…In Yang et al (2011), for example, a switched system model based on the delta operator (Goodwin and Middleton, 1992) is used to describe a NCS capable of coping with packet loss and variable delays. The representation of the NCS as a Lurie problem has been addressed in Zeng et al (2011). In these works, the network-induced delays are considered time-varying and bounded.…”

Event-triggeredH∞control for a class of nonlinear networked control systems using novel integral inequalities

“…Proposition 1 presents an LMI-based approach to solving the event-triggered H 1 control problem for the system (15) subject to (16). Notice that from Proposition 1 692 X.-M. ZHANG AND Q.-L. HAN If the inequalities in (35) are satisfied, then ‡.…”

“…A control system is called a networked control system (NCS) if control system components, that is, plants, controllers, sensors, and actuators, are connected through a communication network. Because of several attractive advantages, such as lower cost, more flexibility, and higher reliability, NCSs have been found a wide range of applications in areas including unmanned surface vehicles [7], van der Pol-Duffing oscillators [8], transportation systems, power systems, and offshore platforms [9,10], and there are many results in the literature [11][12][13][14][15][16]. However, due to limited bandwidth of a communication network, the occurrence of network-induced delays and other In this paper, we deal with the H 1 control problem for a class of nonlinear NCSs, aiming at presenting an efficient approach to designing suitable event-triggered H 1 controllers such that precious communication resources can be saved significantly while maintaining desired closed-loop system performance.…”