Protocol‐based collaborative design for discrete‐time switched systems with sojourn probabilities

Abstract

This article focuses on the collaborative design of a class of discrete-time switched systems with sojourn probabilities. For the purpose of preventing the data collision, the Try-Once-Discard (TOD) protocol is employed to govern the information transmission between sensors and the controller. Moreover, it is worth noting that the values of sojourn probabilities, which are not given ahead, have an effect on the system stability. As a consequence, a novel collaborative design framework is established, in which the sojourn probability and static output-feedback controller are to be designed simultaneously. By considering the effect from the TOD protocol and using the Lyapunov function related to the mode and protocol, a sufficient condition is derived to guarantee the exponential mean square stability of the closed-loop system with a prescribed lower bound on the decay rate. Then, the desired sojourn probabilities and controller gains dependent on the corresponding mode and protocol are obtained in terms of convex optimization method with equality constraints. Subsequently, an estimation approach is provided to estimate the decay rate and decay coefficient of the closed-loop system. Finally, one numerical example is given to testify the effectiveness of the proposed design approach.

Dynamic‐event‐based state estimation of complex networks against attacks and innovation outliers: The probability constraint case

“…How to ensure proper utilization efficiency is of great importance for data transmissions over communication networks. To properly schedule the constrained network resources, some well‐known communication protocols have been employed to deal with the signal transmission procedures, such as the round‐robin protocol, the try‐once‐discard protocol and so forth 12,13 . On the other hand, the event‐based transmission strategy has also gained special research interest owing to its distinctive advantages in cutting down the data transmission quantities, and many elegant results on resource‐constrained networked systems with event‐triggered scheme (ETS) have been reported in the literature, see, for example, References 5,7, and 14 and the references therein.…”

“…To properly schedule the constrained network resources, some well-known communication protocols have been employed to deal with the signal transmission procedures, such as the round-robin protocol, the try-once-discard protocol and so forth. 12,13 On the other hand, the event-based transmission strategy has also gained special research interest owing to its distinctive advantages in cutting down the data transmission quantities, and many elegant results on resource-constrained networked systems with event-triggered scheme (ETS) have been reported in the literature, see, for example, References 5,7, and 14 and the references therein. Roughly speaking, the static event-triggered scheme (SETS) 5 and the dynamic event-triggered scheme (DETS) 15,16 are two frequently utilized event-based transmission mechanisms.…”