Spelling suggestions: "subject:"lyapunov functions"" "subject:"yapunov functions""
11 
Invariant manifolds, invariant foliations and linearization theorems in Banach spacesTan, Bin 05 1900 (has links)
No description available.

12 
Ranges of vector measures and valuationsKuhn, Zuzana 12 1900 (has links)
No description available.

13 
Design of model reference adaptive control systems using liapunov theoryLowe, Eugene Henry 12 1900 (has links)
No description available.

14 
Method of estimating the region of attraction for a system with many nonlinearities.Foster, William Robert January 1971 (has links)
A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then applying the projected gradient method to determine the exact solution. A three machine power system example is included to illustrate the application. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

15 
On the almost sure asymptotic stability of linear dynamic systems with stochastic parametersWiens, G. J January 2011 (has links)
Vita. / Digitized by Kansas Correctional Industries

16 
MultiMode Damping of Power System OscillationsPalmer, Edward Walter January 1998 (has links)
In maintaining power system stability; especially that of large interconnected systems, in the face of large disturbances it is desirable to have a nonlinear control technique that is simple and inexpensive to implement. This thesis presents a nonlinear control technique which relies on angle measurements taken at strategic points in the power system with the aid of the G.P.S. ( Global Positioning System ) timing signal. A method for estimating these bus angles which is faster than previous methods is developed as well as a technique for choosing the locations of these transducers. This transducer placement algorithm aims to place transducers at locations whose bus voltage response to the less well damped interarea modes is maximised and whose response to the better damped local modes is minimised. Since the control techniques are based on aggregated classical models of coherent generators it is important to be able to estimate the internal voltages of these aggregate machines. The placement algorithm ensures maximally precise angle estimates in the presence of noise by minimising the condition number of the observation matrix relating transducer bus voltages to internal aggregated machine voltages. The nonlinear control techniques presented rely on an energy function developed in this thesis which is based on the physical circuit energy of the system. One technique; the Direct Energy technique looks at maximising the negativity of the time rate of change of the energy function, assuming that the energy function is positive during the time frame of interest. It is shown that should the number of controllers be less than the number of modes, excluding the centre of area mode, then sustained oscillations appear which will only be damped by the natural damping of the system. This may be overcome by using techniques which rely on reducing the entire system energy over the time frame of interest. These socalled Lookahead techniques can rely on higher order time derivatives of the energy function or on costates, the latter being the principal focus of this thesis. The Lookahead control technique developed is based on costates which are estimated by the using the solution to the time independent Ricatti equation for a LQ model of the system. It is shown to produce good damping in a number of case studies. Furthermore it is shown to perform well in the presence of both static and dynamic load models. Also it is shown that the path dependent terms introduce some ambiguity as to whether or not the system will converge to a stable equilibrium point. It is shown that it is possible to put a bound on the region to which the power system can be assured to converge. Furthermore the addition of the abovementioned control strategies has the effect of overcoming the effect of the path dependent terms and, should the control action be strong enough, completely swamping them and ensuring system convergence to a stable operating point. In any case the energy function could be directly monitored since all the data needed is being collected anyway for control purposes. / PhD Doctorate

17 
Improved Lyapunovbased decentralized adaptive controllerDai, Reza A. 24 April 1991 (has links)
An improved robot manipulator decentralized nonlinear adaptive
controller that performs well in the presence of disturbances with
unknown parameters and nonlinearities is presented in this work.
The proposed decentralized adaptive structure is a modification of
the controller developed by Seraji [1317] and is characterized by an
auxiliary signal that compensates for the unmodeled dynamics and
improves the tracking performance, by a feedforward component based on
the inverse system to ensure high performance over a wide range and by
a PD feedback component of constant gain to improve the speed of
response of the system. As a result, a very accurate and fast path
tracking is achieved despite the nonlinearities.
The scheme requires only the measurement of angular speed and
displacement of each joint, and it does not require any knowledge about
the mathematical model of the manipulator. Due to its decentralized
structure, it can be implemented on parallel processors to speed up the
operation.
The main advantages of the proposed control scheme over similar
controllers are that the control activity is smoother, it is less
sensitive to sampling size and to the time period elapsed when the whole
trajectory is traversed, as verified by simulations of several test
conditions oftwo of the joints of the PUMA 560 robot arm. / Graduation date: 1991

18 
On the lyapunovbased approach to robustness boundsJo, Jang Hyen 02 May 1991 (has links)
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 time, in place of the traditional method of the
sign properties of the derivative itself.
This proposed approach relaxes the sufficient conditions
of stability, and is used to generate techniques for
the robust design of control systems with structured perturbations.
The need for such techniques has been demonstrated
by recent research interest in the area of robust
control design.
The system considered is assumed to be nominally linear,
with timevariant, nonlinear bounded perturbations.
Application of the proposed technique warrants that estimates
of robustness will either match or constitute an improvement
upon those obtained by application of the traditional
Lyapunov approach. The application of numerical
procedures are used to demonstrate improvements in estimations
of robustness for two, three and fourdimensional
dynamic systems with one or more structured perturbations.
The proposed numerical approaches obtain improved bounds,
which are considered in the sense of their engineering aspects.
To increase the accuracy of the numerical procedures,
symbolic algebraic calculations are utilized. / Graduation date: 1991

19 
On the construction of Liapunov functions for third order control systems with limit cyclesWozny, M. J. (Michael J.) January 1965 (has links)
No description available.

20 
CLOSEDLOOP, SUBOPTIMAL CONTROL EMPLOYING THE SECOND METHOD OF LIAPUNOVMelsa, James L. January 1965 (has links)
No description available.

Page generated in 0.1176 seconds