And Lyapunov Techniques Systems Control Foundations Applications ((better)) - Robust Nonlinear Control Design State Space

A robust nonlinear control problem begins with a nominal model (\dot\mathbfx = \mathbff(\mathbfx, \mathbfu)) and an uncertain model: [ \dot\mathbfx = \mathbff(\mathbfx, \mathbfu) + \Delta(\mathbfx, \mathbfu, t) ] where (\Delta) represents bounded uncertainties or disturbances.

Drug delivery (e.g., insulin pumps for diabetes) is highly nonlinear and patient-specific. combined with Lyapunov techniques enforces state constraints (e.g., safe glucose levels) while rejecting meal disturbances. A robust nonlinear control problem begins with a

SMC is a high-gain switching technique designed to force the system state onto a "sliding surface." \mathbfu) + \Delta(\mathbfx

A nonlinear system in state space form is written as: A robust nonlinear control problem begins with a