The stability of a third-order, nonlinear system with a
saturation characteristic was studied by applying the second method
of Liapunov, which is the most general approach currently used for
dynamic systems.
This thesis presents (1) the analysis of a third-order, nonlinear
system, (2) a suitable Liapunov function, generated by the...
An improved robot manipulator decentralized non-linear adaptive
controller that performs well in the presence of disturbances with
unknown parameters and non-linearities is presented in this work.
The proposed decentralized adaptive structure is a modification of
the controller developed by Seraji [13-17] and is characterized by an
auxiliary signal that compensates...
The objective of this investigation is the development
of improved techniques for the estimation of robustness for
dynamic systems with structured uncertainties, a problem
which was approached by application of the Lyapunov direct
method. This thesis considers the sign properties of the
Lyapunov function derivative integrated along finite intervals
of...
An investigation focusing on methods of estimation
of robustness of nominally linear dynamic systems with
unstructured uncertainties was performed.
The algorithm proposed involves the consideration
of an associated system, selection, and subsequent
development, of Liapunov function candidate and integration
of their derivatives along the solution trajectory.
A nominally linear multi-dimensional...
This thesis presents an effective control design methodology using a one-step-ahead prediction adaptive control law and an adaptive control law based on a Lyapunov function. These control law were applied to a highly maneuverable high performance aircraft, in particular, a modified F/A-18. An adaptive controller is developed to maneuver an...
The Lyapunov direct method is utilized to determine the
robustness bounds for nonlinear, time-variant uncertainies
p[subscript i]. Determination of the robustness bounds consists of two
principal steps: (i) generation of a Lyapunov function and
(ii) determination of the bounds based on the generated
Lyapunov function. Presently in robustness investigations,
a...
The mathematical and physical connections between three different ways of quantifying linear predictability in geophysical fluid systems are studied in a series of analytical and numerical models. Normal modes, as they are traditionally formulated in the instabilities theories of geophysical fluid dynamics, characterize the asymptotic development of disturbances to stationary...