Event-Triggered Distributed H_∞ Constrained Control of Physically Interconnected Large-Scale Partially Unknown Strict-Feedback Systems

Event‐triggered distributed H ∞ control of physically interconnected mobile Euler–Lagrange systems with slipping, skidding and dead zone

“…The following theorem shows that the Zeno's behaviour is excluded. Theorem 2 When using the event‐triggered feedforward control laws in Theorem 1 to the dynamics (6), the Zeno's behaviour is excluded since the minimum inter‐event time has a non‐zero positive lower bound. Proof The proof follows from [30] and is omitted due to space limitations. □…”

“…From the viewpoint of the optimal control, the general disturbances including slipping and skidding disturbance () and dead‐zone disturbance need to be rejected. Inspired by [17, 30], we employ ADP and the zero‐sum differential graphical game [42] to design a control scheme for the disturbance rejection.…”

“…To solve control problems dealing with disturbances, event‐triggering schemes are developed for the two‐player zero‐sum differential games [17, 20, 30]. In the games, the policies of the control player and the disturber player are updated based on the triggering condition and the sampling period, respectively.…”

“…To mitigate the burden of computation bandwidth and data transfer costs, the controllers follow the event‐triggering mechanism, i.e. the control parameters are updated only when a new triggering condition holds. (ii) Extend the conventional theory of the zero‐sum differential graphical game of two players [17, 18, 20, 30] to design a new game of three players for approximating the event‐triggered control law, the event‐triggered dead‐zone disturbance law, and the time‐triggered slipping and skidding disturbance law. The new player who is responsible for rejecting the dead‐zone disturbance contributes to the optimisation of an performance index function.…”

Robust control for Markov jump linear systems with unknown transition probabilities – an online temporal differences approach

“…The H ∞ optimal control problem for continuous-time nonlinear system, which is described as two-player zero-sum game, has been addressed by formulating an actor-critic neural network in Vamvoudakis and Lewis (2012) and a novel critic-only algorithm in Zhang et al (2016). Based on ADP, time-triggered and event-triggered H ∞ constrained control schemes for strict-feedback nonlinear large-scale systems have been investigated in Tan (2018) and Tan (2019), respectively. A self-triggered control method has been proposed in Wan et al (2020) to further reduce the resource occupation.…”