Observer-based consensus tracking of multi-agent systems with one-sided Lipschitz nonlinearity

Observer design for one-sided Lipschitz discrete-time systems

This note focuses on state observer design for a general class of nonlinear discrete-time systems that satisfies the one-sided Lipschitz condition. It has been shown that this condition may encompass a large class of nonlinearities. However, challenging problems arise such as relevant choice of the Lyapunov function or non convexity of the obtained stability conditions. Both full-order and redu...

Adaptive Neural Network Method for Consensus Tracking of High-Order Mimo Nonlinear Multi-Agent Systems

This paper is concerned with the consensus tracking problem of high order MIMO nonlinear multi-agent systems. The agents must follow a leader node in presence of unknown dynamics and uncertain external disturbances. The communication network topology of agents is assumed to be a fixed undirected graph. A distributed adaptive control method is proposed to solve the consensus problem utilizing re...

ℋ∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs

adaptive observer design for one-sided lipschitz class of nonlinear systems

this paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided lipschitz and quadratic inner bounded conditions. it’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. a coordinate transform...

Distributed observer-based consensus protocol for descriptor multi-agent systems

In this paper, the consensus problem of descriptor multi-agent systems is considered. Each agent’s dynamics is given in general form of continuous-time linear descriptor system, and the communication topology among the agents is assumed to be directed under fixed topology case and balanced under switching topology case. To solve the multi-agent consensus problem, three kinds of distributed obse...