Stabilisation of two-dimensional singular Roesser systems with directional delays: an event-triggered control approach

An event-triggered control scheme is first developed and utilised to address the stabilisation problem of two-dimensional (2-D) singular systems with state delays. Based on a functional method and by utilising zero-type free matrix equations, delay-dependent conditions ensuring the closed-loop regularity, causality and asymptotic stability are derived. The obtained stability conditions are then employed to derive tractable conditions for design of stabilising event-triggered state-feedback controllers. As an application, H∞ event-triggered stabilisation conditions are also formulated for 2-D singular Roesser systems with delays subject to exogenous disturbances. Numerical examples are given to validate the obtained analysis and design conditions.