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Mechanical Systems with Partial Damping: Two Examples
(1991)
We discuss the problem of constructing steady state motions of mechanical systems with partial damping. A planar three bar linkage with viscous damping at one of the joints is considered as an example. We show that for a ...
Bifurcations, Chaos and Crises in Power System Voltage Collapse
(1992)
Bifurcations occurring in power system models exhibiting voltage collapse have been the subject of several recent studies. Although such models have been shown to admit a variety of bifurcation phenomena, the view that ...
Nonlinear Dynamics of Axial Flow Compressors: A Parametric Study
(1991)
This paper presents the analysis of the dynamics of a representative axial flow compressor model, emphasizing the influence of two important control parameters. These are a nondimensional parameter B (previously introduced ...
Stability and Robust Control of Period Doubling Bifurcations
(1993)
This thesis addresses the stability and feedback control of period doubling bifurcations. We find formulas for determining the stability of nondegenerate and degenerate period doubling bifurcations. Specifically, we find ...
An Improved Algorithm for Solving Constrained Optimal Control Problems
(1994)
Motivated by the need to have an algorithm which (1) can solve generally constrained optimal control problems, (2) is globally convergent, (3) has a fast local convergence rate, a new algorithm, which solves fixed end-time ...
Geometric Phases, Anholonomy, and Optimal Movement
(1991)
In the search for useful strategies for movement of robotic systems (e.g. manipulators, platforms) in constrained environments (e.g. in space, underwater), there appear to be new principles emerging from a deeper geometric ...
Dynamics and Control of Constrained Nonlinear Systems
(1992)
As applications have grown in the fields of robotics and automation, power systems, and electronic circuit systems, there has been an increasing interest in the control of constrained dynamic systems described by differential ...
An Improved Model for the Dynamics of Spur Gear Systems with Backlash Consideration
(1993)
An improved model which accounts for backlash effects is proposed for the dynamics of spur gear systems. This dynamic model is mainly developed for the purpose of real time control. The complicated variation of the meshing ...
Optimal Control and Poisson Reduction
(1993)
In this paper we make explicit a reduction of G-invariant optimal control problems on a Lie group G.
Smart Structures and Wavelet Based System Identification
(1993)
In this thesis we study the problem of modeling and control of vibrations of a flexible structure. Different approaches have been considered for fitting a finite dimensional model to the infinite dimensional system. In ...