Study On Event-Triggered Control Of Complex Networked Systems

Currently, the event-triggered communication mechanism have obtained more and more concerns of scholars because of its important advantages in systems which resource is lim-ited. Different from the traditional time-triggered strategies, the superiorities of the innovative event-triggered strategies can greatly improve the utilization efficiency of communication re-sources. The reason is that this mechanism provides an efficient method to produce scattered task implement, i.e., one task is implemented only when a particular event is occurrence, for example, some signal value over a predetermined one. By now, the event-triggered con-trol schemes have been studied in-depth in complex networked systems, such as multi-agent systems (MASs), networked control systems (NCSs) and other systems.However, current study on the event-triggered control of complex networked systems still have certain limitations:(ⅰ) most of the research on the event-triggered consensus of complex multi-agent systems have focused on that all of the agents have the same dynamics, and the considered MASs are continuous-time first-order or second-order systems.(ⅱ) Most of the research on event-triggered consensus of complex MASs rarely consider the effect of random communication delays, and what they considered is the case of fixed communication topology.(ⅲ) At present, most of the proposed event-triggered mechanisms have inherent flaws, the threshold parameters are fixed constants, i.e., have nothing to do with the change of the system states.(ⅳ) Current studies of the event-triggered control have faced the negative effect of the time delays and packet losses on system performance passively.In order to compensate for the shortages of the existing results, from the perspective of analysis and control, this paper studies several problems as follows:The event-triggered tracking problem of discrete-time MASs. Two kinds of distributed event-triggered control schemes are proposed. The model of the tracking control of the discrete-time complex MASs under the event-triggering scheme is established. Based on this model and using the inequality zoom technology, we have proved that the tracking error can be controlled within a limited range. The event-triggered consensus problem of discrete-time heterogeneous MASs which contains two kinds of agents. The distributed event-triggered control protocols are designed, and based on the Lyapunov stability theory and the linear matrix inequality method, the con-sensus conditions for the heterogeneous MASs are established and the co-design of the con-troller gain matrix and the event-triggering parameter is realized. At the same time, the result is also extended to the consensus problem of discrete-time heterogeneous MASs with Markov random communication delays.The consensus problem for a class of nonlinear MASs with communication delays and Markov switching topologies under the adaptive event-triggering scheme. The proposed event-triggered parameter in this paper is state-dependent (i.e., is dynamic), which has the function of adaptive and avoids the trouble of how to select the initial value of the parame-ter. In this paper, based on the given adaptive event-triggering consensus control protocol, by introducing a dynamic virtual leader and by using the Lyapunov stability theory and linear matrix inequality method, it has not only given the sufficient consensus conditions of agents but also realized the co-design of the controller gain matrix and the event-triggering parameter matrix.The stability problems of certain and uncertain discrete-time networked control systems. For the case of data loss, a novel model-based event-triggered predictive control scheme (MB-ETPCS) is proposed, which combines the model-based networked control systems, predictive control and the event-triggering communication scheme all together. This scheme can not only reduce the network bandwidth resource utilization but also can compensate for the effect of the data loss on the system performance actively. Taking into account the data packet dropout and the proposed model-based event-triggered predictive control, we construct an unified model and based on this model, by using the Lyapunov functional theory, the sufficient stability conditions of the systems are given in terms of LMI. At the same time, this novel event-triggered predictive control scheme is also extended to the stability problem of certain discrete-time networked control systems with communication delays.