Finite-time stabilisation of discrete networked cascade control systems under transmission delay and packet dropout via static output feedback control

摘要

Delay and packet dropout are two inherent sources of the performance degradation or instability in the networked control systems. This paper addresses the stochastic finite time stability analysis of a class of discrete-time network-based cascade control systems against varying delay and random packet dropout modelled by the Bernoulli distributed sequence. Based on the Finsler lemma, sufficient conditions are derived to stabilise such systems by designing static output feedback controller with the help of linear matrix inequalities (LMIs). This LMI-based conditions are provided to ensure the stochastic finite-time stability with a given disturbance attenuation level. Efficiency of the proposed controller is verified by numerical examples.