Adaptive Control of Uncertain Dynamics at the Nano-scale

Control of micro and nano-systems imposes new and stringent challenges to be addressed. The nonlinear time varying and uncertain dynamics operating at different time and length scales requires robust ultra-fast feedback systems capable of addressing these unique challenges. A resetting adaptive control architecture based on MRAC is proposed. Stability analysis demonstrates that with a finite number of resets, the feedback system remains stable. The proposed resetting adaptive control is applied to control of a microcantilever in a nonlinear interaction. Simulation results demonstrate the potential of the resetting adaptive control in improving transients while maintaining stability in the presence of uncertainties.