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Optimal Control Of Weakly Forced Nonlinear Oscillators, Isuru Sammana Dasanayake
Optimal Control Of Weakly Forced Nonlinear Oscillators, Isuru Sammana Dasanayake
All Theses and Dissertations (ETDs)
Optimal control of nonlinear oscillatory systems poses numerous theoretical and computational challenges. Motivated by applications in neuroscience, we develop tools and methods to synthesize optimal controls for nonlinear oscillators described by reduced order dynamical systems. Control of neural oscillations by external stimuli has a broad range of applications, ranging from oscillatory neurocomputers to deep brain stimulation for Parkinson's disease. In this dissertation, we investigate fundamental limits on how neuron spiking behavior can be altered by the use of an external stimulus: control). Pontryagin's maximum principle is employed to derive optimal controls that lead to desired spiking times of a neuron …
Local Digital Control Of Power Electronic Converters In A Dc Microgrid Based On A-Priori Derivation Of Switching Surfaces, Bibaswan Banerjee
Local Digital Control Of Power Electronic Converters In A Dc Microgrid Based On A-Priori Derivation Of Switching Surfaces, Bibaswan Banerjee
Dissertations, Master's Theses and Master's Reports - Open
In power electronic basedmicrogrids, the computational requirements needed to implement an optimized online control strategy can be prohibitive. The work presented in this dissertation proposes a generalized method of derivation of geometric manifolds in a dc microgrid that is based on the a-priori computation of the optimal reactions and trajectories for classes of events in a dc microgrid. The proposed states are the stored energies in all the energy storage elements of the dc microgrid and power flowing into them. It is anticipated that calculating a large enough set of dissimilar transient scenarios will also span many scenarios not specifically …