This paper addresses the issue of robustly stabilizing along with attaining \(H_\infty \) control pertaining to a specific type of discretely switched nonlinear networked control systems (SNNCSs) with non-fragile controllers and sampled data. A state-feedback controller is developed through a combination of average dwell time in conjunction with multiple Lyapunov function methods. This controller guarantees robust exponential stability around the equilibrium point having a mentioned disturbance attenuation level ( \(\gamma >0\) ), accounting for all potential uncertainties. Exponential stabilization conditions, expressed as linear matrix inequalities (LMIs), are derived by the construction of an appropriate Lyapunov–Krasovskii functional (LKF). These results are proven numerically.