Fixed-time stability of stochastic nonlinear systems and its application into stochastic multi-agent systems

Predefined formation-containment control of high-order multi-agent systems under communication delays and switching topologies

Distributed control of nonlinear stochastic multi-agent systems with external disturbance and time-delay via event-triggered strategy

This paper investigates the tracking consensus issue for second order multi-agent systems (MAS) under switching topologies by using a novel event-triggered sliding mode control strategy. First, in order to compensate for the effect brought by the information transmission caused by event-triggered sampling and the switching topologies respectively, the dynamic sliding mode control (SMC) mechanism is proposed based on two discrete level sets. By considering the event-triggered rules and the sliding mode method jointly, the corresponding limited-information-based protocol is constructed. This technology does not require the system dynamics to reach the sliding mode manifold compared to previous studies. In addition, with the help of the boundary layer technique, the control protocol is designed to be continuous, which can reduce the chattering of the system and increase the life of machine. Through strict mathematical derivation, when the dwell time of switching between different communication graph candidates is within a limited range, it is proved that the consensus error of the nonlinear multi-agent systems (NMAS) with disturbances converges to an adjustable bounded set, and the networked harmonic oscillator systems (NHOS) without disturbances asymptotically reaches zero. Finally, Zeno behavior can be avoided entirely, and several numerical examples are presented to evaluate the efficiency of the proposed algorithms.

Tracking Consensus of Multi-Agent Systems Under Switching Topologies via Novel SMC: An Event-Triggered Approach

In this article, the finite-time sliding mode control problem is studied for the Markovian jump systems. The uncertainties and actuator faults are randomly occurring and varying, which are simultan...

Parameter-dependent sliding mode control for Markovian jump systems within finite-time interval: handling randomly occurring actuator faults

The tracking consensus problem for stochastic Markovian multi-agent systems (MASs) with mismatched uncertainty is investigated in this study. A restrictive assumption for stochastic systems in existing results is removed in this study. Under the directed interacted topology, the sliding mode control method is utilised to achieve leader-following consensus for general linear MASs in the sense of mean square. Integral sliding mode surfaces are employed to tackle the mismatched uncertainties. Then, with the transition rates of Markov process being completely known or partly unknown, two kinds of distributed sliding mode protocols are given, respectively. Based on the sliding mode control theory, algebraic graph theory and stochastic differential equation theory, mean square stability of sliding mode dynamics are ensured by LMIs and reachability of sliding mode surfaces almost surely from the initial time are obtained. Finally, simulations are given to illustrate the effectiveness of the results.

https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/iet-cta.2019.0782

Xihui Wu

Papers

Tracking consensus for stochastic hybrid multi-agent systems with partly unknown transition rates via sliding mode control