Dynamic Event-Triggered H∞ Sliding Mode Control for Multi-Agent Systems Using a Dual Hidden Markov Model

This paper investigates the dynamic event-triggered <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H$</tex>∞ sliding mode control (SMC) issue for a class of linear multi-agent systems (MASs) with Markov jump parameters and Markov switching topologies. A mapping technique for continuous-time Markov chains is employed to address the challenge of MASs with dual Markov jumping process. Based on the hidden Markov model detector, the distributed event-triggered <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H$</tex>∞ sliding mode controllers are constructed, and the dynamic event-triggering scheme (DETS) is introduced to reduce bandwidth pressure. By constructing mode-dependent Lyapunov- Krasovskii functionals (LKFs), the stochastic consen-sus conditions of MASs with prescribed <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H$</tex>∞ performance index are formulated by linear matrix inequalities (LMIs). Finally, a numerical simulation is conducted to validate the effectiveness of the proposed method.