The Van der Pol (VdP) equation is a fundamental building block for modeling natural and engineering processes characterized by self-sustained oscillations. The present study introduces a novel three-dimensional autonomous chaotic system derived from a non-smooth extension of the classical VdP framework. The core innovation lies in the structural simplification of the nonlinear damping coefficient, replacing the standard quadratic term with a piecewise-linear absolute-value nonlinearity. This modification is coupled with the inclusion of a third state variable, modeled as a first-order dissipative system, which is fed back into the relaxation oscillator via a secondary absolute-value term. This topology significantly reduces computational overhead in hardware implementation while unlocking a higher-dimensional state-space. A comprehensive numerical analysis using bifurcation diagrams, Lyapunov exponent spectra, spectrograms, and Shannon entropy reveals complex dynamic behaviors, including chaos, antimonotonicity, and the coexistence of attractors. Furthermore, the proposed system can generate QRS-like waveforms that resemble human electrocardiogram patterns. The theoretical findings are validated through both an analog circuit implementation using off-the-shelf components and a digital realization on an STM32 microcontroller board using the Runge--Kutta numerical method. The agreement between numerical simulations, analog experiments, and digital implementation attests to the robustness of the proposed model across platforms for potential applications in biomedical signal emulation and chaos-based engineering.