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About

T. W. U. Madhushani is a control theorist whose research lies at the intersection of geometric mechanics and nonlinear control, with a particular focus on underactuated, nonholonomic robotic systems. Her major contributions center on developing intrinsic geometric PID control frameworks for mechanical systems evolving on non-Euclidean configuration spaces—a mathematically elegant approach that generalizes classical PID control to curved manifolds. She has applied these theoretical advances to challenging robotic platforms, including spherical robots, hoop robots rolling without slip on inclined planes, and Segway-type self-balancing vehicles. Her most influential work, "Semi-globally exponential trajectory tracking for a class of spherical robots" (21 citations), demonstrates her ability to achieve rigorous stability guarantees for complex rolling robots. In her work on feedback regularization and geometric PID control for hoop robots (14 citations), she showed how to achieve asymptotic trajectory tracking even in the presence of disturbances and uncertainties. Her 2016 lectures on a geometric PID control framework for mechanical systems (2 citations) provide a systematic foundation for this emerging control paradigm. Madhushani’s research is notable for its theoretical depth—bridging differential geometry and practical robot control—and its potential to unify control design across diverse mechanical systems with non-Euclidean dynamics.