Stabilization of Markovian Jump Systems with Time-Varying Delay Using a Nonlinear Disturbance Observer-Based Method

This paper employs an anti-disturbance control scheme to address the stabilization problem of time-delayed Markovian jump systems with modeled and unmodeled disturbances. A nonlinear exogenous system generates the modeled disturbance, which is estimated using a nonlinear disturbance observer. Sufficient conditions for the existence of the proposed controller and disturbance observer are derived using a mode-dependent asymmetric Lyapunov-Krasovskii functional. To demonstrate the efficacy of the theoretical results developed, two numerical examples are included.