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In this article, the optimal leader-following consensus of nonlinear second-order delayed multiagent systems with input constraints is addressed. To begin with, a novel intermittent event-triggered (IET) control protocol is proposed, and a novel time-delay piecewise differential inequality is established to effectively integrate state delay, intermittent control, and event-triggered strategy. Then, by the proposed control protocol and inequality, two criteria for the consensus of the second-order delayed multiagent systems and its optimality under input saturation are derived successively. Furthermore, a constrained-input PI algorithm and a critic-only online RL algorithm are devised for designing IET optimal control and approximate IET optimal controller, respectively. Finally, two numerical examples are created to verify the efficacy of the basic research.
Liu et al. (Mon,) studied this question.