Chain Network Control with Delay by an Auxiliary Loop Method

Abstract

The article is devoted to the development of control algorithms for a network of agents of a chain network, each agent of which is a linear plant with state delay, subject to the action of external disturbances under conditions of a priori uncertainty. In each agent of the network, the output of the previous agent is monitored, and the signal from the leading subsystem arrives only at the first agent of the network, the communication is one-way. Taking into account the time delay in the models of each agent of the network of such a structure makes them close to real ones. In agent control systems, disturbances are compensated by implementing the principle of invariance, namely, in each network agent, compensation for the action of external disturbances acting on the network agent from the outside, as well as internal disturbances caused by various modes of operation of the plant, is carried out by generating a special disturbance signal, and then it subsequent compensation with the help of an auxiliary loop and Khalil observers. A numerical example of a chain network consisting of four linear control plants is given under the conditions of interval uncertainty of the parameters of their mathematical models, state delay and the action of external uncontrolled disturbances. Numerical simulation was carried out in Matlab Simulink. Graphs of transient processes for tracking errors of agents of the chain network are presented, confirming the theoretical conclusions and illustrating the good performance of the control algorithms for the chain network.