Control design and genetic algorithm optimization for electrostatic MEMS

This dissertation discusses structural-electrostatic modeling techniques, genetic algorithm based optimization and control design for electrostatic micro devices. First, an alternative modeling technique, the interpolated force model, for electrostatic micro devices is discussed. The method provides improved computational efficiency relative to a benchmark model, as well as improved accuracy for irregular electrode configurations relative to a common approximate model, the parallel plate approximation model. For the configuration most similar to two parallel plates, expected to be the best case scenario for the approximate model, both the parallel plate approximation model and the interpolated force model maintained less than 2.2% error in static deflection compared to the benchmark model. For the configuration expected to be the worst case scenario for the parallel plate approximation model, the interpolated force model maintained less than 2.9% error in static deflection while the parallel plate approximation model is incapable of handling the configuration. Second, genetic algorithm based optimization is shown to improve the design of an electrostatic micro sensor. The design space is enlarged from published design spaces to include the configuration of both sensing and actuation electrodes, material distribution, actuation voltage and other geometric dimensions. For a small population, the design was improved by approximately a factor of 6 over 15 generations to a fitness value of 3.2 fF. For a larger population seeded with the best configurations of the previous optimization, the design was improved by another 7% in 5 generations to a fitness value of 3.0 fF. Third, a learning control algorithm is presented that reduces the closing time of a radiofrequency microelectromechanical systems switch by minimizing bounce while maintaining robustness to fabrication variability. Electrostatic actuation of the plate causes pull-in with high impact velocities, which are difficult to control due to parameter variations from part to part. A single degree-of-freedom model was utilized to design a learning control algorithm that shapes the actuation voltage based on the open/closed state of the switch. Experiments on 3 test switches show that after 5-10 iterations, the learning algorithm lands the switch with an impact velocity not exceeding 0.2 m/s, eliminating bounce.

Regulation of woody plant development by auxin and polar auxin transport

Auxin is a key regulator in plant growth and development. This dissertation examines the role of auxin and polar auxin transport in woody growth and development. Strategies of promoter reporter system, microarray expression analysis, transgenic modification, physiological assays, anatomical analysis, and histochemical/biochemical assays were employed to improve our understanding of auxin study in Populus. The results demonstrate various aspects of auxin regulation on shoot growth, root development, wood formation, and gravitropism in woody tissues. We describe the behavior of the DR5 reporter system for measuring auxin concentrations and response in stably transformed Populus trees. Our study shows that DR5 reporter system can be efficiently used in Populus to study auxin biology at a cellular resolution. We investigated the global gene expression in responding to auxin in Populus root. The results revealed groups of IBA up- and down- regulated genes involved in various biological processes including cell wall modification, root growth and lateral root formation, transporter activity and hormone crosstalk. We also verify two of the identified genes' function by transgenic modification in Populus, which encode auxin efflux carrier PtPIN9 and transcription factor PtERF72. We investigated the role of PtPIN9 in woody growth and development, especially in wood formation and gravitropic response in woody stem. We found that overexpressing PtPIN9 enhanced several growth parameters while suppression of PtPIN9 has inhibited tension wood formation. Our results show that PIN9 and other members from PIN family could be possible useful tools for increasing biomass productivity, wood quality, or in modifying plant form.