Stability of Networked Control Systems with Time-Varying Delays

INtERCEDE: An algorithmic approach to networked control system design

“…In Zhang and Yu (2007a), also the clocks of controller and sensor are assumed synchronized which is a restrictive assumption. In Chen et al (2007) the stability for a specific network protocol namely TCP is investigated. In Jiang et al (2008) the packet losses are also considered, while stability for delay is investigated, so this test is also a candidate for our stability test.…”

“…Walsh et al (2002), Walsh and Ye (2001), Gu et al (2003Gu et al ( , 2004, , Lin et al (2003), Lin and Antsaklis, (2005), Bauer et al (1993), Zhang, Yu (2007b), Chen et al (2007), Jiang et al (2008) and Kim et al (2003) Stability analysis based delay bound derivation Network optimized, control system performance is not considered Wu et al (2006), Hong and Song, (2008) and Audsley et al (1993) bandwidth sharing Davis et al (2007) and Schmidt (2010a, 2010b) Optimal schedule computation, schedulability analysis…”

Design of the simulation platform for networked control systems based on DTHMM

“…Based on the predictive method, the subinterval in which the current C-A delay may fall can be predicted by using (5) and (6), and then the prediction of the current C-A delay is taken from the midpoint of the subinterval as shown in (7). This predicting method aims to guarantee that the subinterval in which the predicted delay falls is the same as the subinterval in which the corresponding real delay falls, which is enough to guarantee the system stability by compensating this predicted delay given that the delay interval is divided into many enough subintervals and the NCS with delays is modeled as a discrete-time MJLS.…”

“…The properties of the network-induced delays in a general NCS were described in [4]. The stability analyses of the NCS with delays were presented in [5][6], and the controller design methods of the NCS with delays were proposed in [7][8]. Moreover, when the random delays have Markovian characteristic, the NCS can be formulated as a Markovian jump linear system (MJLS).…”

H<inf>&#x221E;</inf> filtering of networked systems with time-varying sampling rates

“…A better characterization of how real-time networks exchange information between system components is an important step towards a precise description of stability and robustness properties for this class of systems [1,2]. The study of strategies to deal with packet size constraints, time delays, uncertain sampling rates, and so on, in NCS has received a special attention lately, as can be seen in [3][4][5][6][7].…”