Pablo Borja's PBC framework tames nonlinear systems via energy dissipation
A 23-page arXiv paper reveals energy-shaping control for highly nonlinear physical systems.
Pablo Borja’s “Passivity-Based Nonlinear Control” (arXiv:2608.15218), submitted Aug 15, 2026, is a 23-page, 2-figure chapter on passivity-based control (PBC) for nonlinear systems. The framework focuses on understanding and modifying how a system stores and dissipates energy. It works in two steps: first, shaping the closed-loop system’s energy so it is minimum at the desired point; second, forcing the system to dissipate energy until it reaches that point. According to the article, these methods have proven effective for a wide range of systems, especially physical ones, even when they are highly nonlinear.
- Paper arXiv:2608.15218 by Pablo Borja, 23 pages, 2 figures, published Aug 15, 2026
- PBC uses a two-step process: energy minimization at the desired point, then dissipation to reach equilibrium
- Effective for highly nonlinear physical systems including robotics, power electronics, and microgrids
Why It Matters
Energy-shaping control offers robust, model-free-savvy stabilization for robotics and grid systems where linear methods fail.