Output Consensus of Networked Hammerstein and Wiener Systems

TL;DR

This paper develops a control algorithm for achieving output consensus in networked Hammerstein and Wiener systems under noise, demonstrating its effectiveness through theoretical analysis and simulations.

Contribution

It introduces a novel distributed stochastic approximation algorithm with expanding truncations for output consensus in nonlinear networked systems.

Findings

Output consensus is achieved under the proposed control.

The algorithm is robust to noise and system nonlinearities.

Numerical simulations confirm theoretical results.

Abstract

In this paper we consider the output consensus problem of networked Hammerstein and Wiener systems in a noisy environment. The Hammerstein or Wiener system is assumed to be open-loop stable, and its static nonlinearity is allowed to grow up but not faster than a polynomial. A control algorithm based on the distributed stochastic approximation algorithm with expanding truncations is designed and it is shown that under the designed control the output consensus is achieved. The numerical simulation given in the paper justifies the theoretical assertions.