Passivity and Practical Stability of Fast-Sampled Quantized Discrete-Time Nonlinear Systems with Finite-Register Effects
Digital implementation of nonlinear control laws inevitably introduces quantization, saturation, and finite-word-length arithmetic that can degrade nominal stability. This paper develops an implementation-aware passivity framework for fast-sampled discrete-time nonlinear systems subject to quantized measurements, quantized actuation, and finite-register effects. All implementation nonlinearities are aggregated into a single structured input perturbation, which is propagated through the plant Lipschitz bound and a dissipation-type storage function.