Control System Design for Wireless Electromagnetic-Based Micromanipulation System

Control strategy to accomplish precise point-to-point posi- tioning and trajectory tracking of magnetically-guided mi- croparticles is analyzed in this work. External disturbances and model mismatch were modeled as inputs to the mag- netic force governing equation. First, the problem is formu- lated by modeling the magnetic force experienced by the microparticles in the presence of viscous drag, buoyancy force, force due to gravity, external disturbances and model mismatch [1]; the resulting model is utilized to design an observer to estimate the mismatch over the nominal and ac- tual values of these forces. Hereafter, the current-magnetic force map is derived by minimizing the two-norm square of the magnetic field-to-current map constrained with the mag- netic force equation. The result of this minimization prob- lem along with the designed observer were utilized in the realization of a control input for the attainment of robust- ness by compensating for the model mismatch of the elec- tromagnetic system and rejecting the disturbance forces on the microparticles.