Backstepping Control

Backstepping control is a recursive Lyapunov-based design method for stabilizing and tracking nonlinear systems, achieving this by systematically designing controllers through a series of cascaded steps. Current research emphasizes extending backstepping to handle complex systems, incorporating techniques like adaptive control, neural networks, and fuzzy logic to address uncertainties, disturbances, and constraints in applications such as robotics, unmanned aerial and underwater vehicles, and control of partial differential equations. This robust control strategy finds significant application in diverse fields, improving performance and stability in challenging environments where precise control is crucial.