Looped functional approach to finite-horizon hybrid control for networked switched fuzzy systems with fault...

The presented research effort offers a secure sampled hybrid control design for networked switched fuzzy systems. Precisely, we investigate the challenges posed by actuator failures, hybrid cyber attacks, time-varying delays and external disturbances over the finite horizon. A unified control design that effectively handles these simultaneous factors in a single framework is an area that warrants investigation. In this connection, a hybrid control law which comprises the robust and fault-tolerant control is established. One of the primary appealing aspects of the designed control law is that it employs robust control when the system is free of faults and switches to the fault-tolerant one when the system encounters a fault. Further, by considering the state information from ϑ(t_k) to ϑ(t) and ϑ(t) to ϑ(t_k+1), a two-sided looped functional is developed. Based on that, adequate conditions that promise the core objective of this examination are formulated in terms of linear matrix inequality. Apart from this, to escalate the controller functionality in regard to cyber threats, hybrid cyber attacks that comprise the deception and denial-of-service attacks are taken into account and Bernoulli distribution is utilized to govern the random characteristics of the attack. Additionally, to address the repercussions of the external disturbance, extended dissipative theory is deployed. In the closing part, two examples, including the single-link robotic arm model accompanied by the simulation findings, are presented to showcase the capability and applicability of the achieved theoretical outcomes and control design.