Mode-dependent event-triggered tracking control for uncertain semi-Markov systems with application to vertical take-off and landing helicopter

Abstract

The aim of this manuscript is to tackle the tracking problem for uncertain semi-Markov systems. More precisely, the mode-dependent event-triggering communication approach is introduced for networked controller design procedure, which can considerably increase the signal transmission efficiency. Based on the Lyapunov–Krasovski method, mode-dependent sufficient conditions are derived and the tracking errors could achieve the asymptotic mean-square stability, and mode-dependent controllers could be further calculated by convex optimization. A numerical simulation with application to vertical take-off and landing helicopter would be performed for verifying the availability and usefulness.

optimal control for semi‐Markov jump linear systems via TP‐free temporal difference () learning

“…To overcome this restriction, semi‐Markov jump linear systems (S‐MJLSs) have been developed, wherein TPs vary with the historical mode sojourn time. It is worth noting that because of the memory property, S‐MJLS is a more general model for simulating industrial systems so that it has been applied in numerous systems, including transportation systems, 20 helicopter systems, 21 and networked mass‐spring systems 22 . Recently, required conditions for the system stability have been established 23‐27 .…”