Event‐triggered control for networked Markovian jump systems

Abstract

SUMMARYThe problem of H 1 control for networked Markovian jump system under event-triggered scheme is studied in this paper. In order to reduce the utilization of limited network bandwidth, a dynamic discrete event-triggered scheme to choose the transmitted data is designed. A Markovian jump time-delay system model is employed to describe the event-triggered scheme and the network related behavior, such as transmission delay, data package dropout, and disorder. Furthermore, a sufficient condition is derived to guarantee that the resulting closed-loop system is stable and has a prescribed performance index. A co-design method for the H 1 controller and the event-triggered scheme is then proposed. The effectiveness and potential of the theoretic results obtained are illustrated by a simulation example.

Notice of Violation of IEEE Publication Principles: Decentralized event-triggering passive control of networked T-S fuzzy systems

“…In NCS, the sensor and control signals are transmitted in a shared bandwidthlimited communication network [1], [2], [3]. Until now, there have been two main methods of communication scheme: the time-triggered scheme [4], [5], [6], and the event-triggered scheme [7], [8], [9], [10], [11], [12], [13]. As is well known, the time-triggered scheme, in which a fixed sampling interval is used, often leads to over-sampling and hence wastes the limited resource and communication bandwidth.…”

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

“…Remark The TRs of some jumping modes may be completely inaccessible for the limitations of equipment and unpredictable factors. Under this situation, the existing results with completely known TRs and partially known TRs no longer apply. This paper considers a general TR matrix; the result is thus more applicable in practice.…”

“…Because of component failures and abrupt environmental disturbances, dynamical systems such as aircraft control systems, power systems, and economic systems may experience abrupt changes in their structure and parameters. Markov jump systems (MJSs) are appropriate to model such systems and have thus been widely investigated . In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission .…”

Pole placement with LMI constraint of fuzzy descriptor system

“…As a constant positive definite matrix of a quadratic Lyapunov function must be found for all the subsystems, the results obtained via the common Lyapunov function method are conservative, especially when the number of fuzzy rules is large. Many efforts have been done to reduce the conservativeness, see [12][13][14][15][16][17] and the references therein. In [18,19], the piecewise Lyapunov function was used to solve the static output feedback H 1 control problem for continuous-time T-S fuzzy affine systems.…”