Uncertainty Analysis and Control in Nonlinear, Multiscale, Interconnected Systems
Abstract
The work under this grant continued our contribution to control of mixing in uncertainty complex environments, energy transfer in nonlinear oscillators and fundamental uncertainty theory for complex systems. Our work on control of mixing, applicable to problems of combustion in microengines, resulted in 3 publications in prominent journals. In this project we developed the theory of energy transfer that leads to synchronization in nonlinear oscillators in several directions. In [3] we have studied effects of asymmetry on mitigating limit cycle oscillations in aeroengines. This work earlier lead to development of a patent and a commercial product in Pratt and Whitney jet engines. In [4], we analyzed the underlying system using nonlinear dynamics tools to elucidate the effect of asymmetry on instabilities in the system. We have also studied of coordinated motion [5, 2] where a large system of units are designed to move under local dynamics (affected only by the unit position and velocity) and positions and velocities of immediate neighbours. The amount of communication required between units in such an arrangement is minimal, but global transitions between desired states of operations are enabled by appropriate design. Alternatively (and similar to the situation in thermoacoustics) transitions of this sort in power systems can not be tolerated since they can lead to global desynchronization. In a study of this, applicable to power system instabilities in military aircraft, we gave conditions for such instability in a model system [10] and developed this into a full-blown theory of instabilities in realistic power systems. We have published a fundamental study on uncertainty analysis in dynamical systems in [9].
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 22, 2009
- Accession Number
- ADA567482
Entities
People
- Igor Mezić
Organizations
- University of California, Santa Barbara