Global Nonlinear Control
The focus of my research is the use of topological and dynamical
methods in the analysis of possible global controlled dynamics.
If D is the control distribution and X is the `state dynamics,' I
examine all the dynamics that arise as sections of the affine
distribution X+D.
This project, presented in part in Berkeley (96) and Santa
Barbara (97) is now a Book Draft, entitled
"Global Controlled Dynamics"
The first part appeared as an ERL Memo, UCB/ERL M96/42.
Here, you can browse the Table of Contents
and the Introduction
.
The papers below cover related material.
- "Local Controlled Dynamics," in
Nonlinear
and Adaptive Control, Owens and Zinober eds, Springer 2003
- "Dynamics
of Polynomial Systems at Infinity" , ElJDiffEq, vol
2001,no.22,pp1-15.
- "A
condition for smooth stabilization", Math.Sign.Syst., 2000.
- "Compactified
Dynamics and Peaking", ISCAS 2000.
- "Some
Limitations of Lie Brackets in Affine Control Systems", Technical
Report CCEC-97-0408, UCSB, April 1997.
- "A
global, geometrical linearization theory", IMA J. Math.Con.Inf., 9,
1992, pp.1-21.
- "The role of
Morse-Lyapunov functions in the design of global feedback dynamics",
in Variable Structure and Lyapunov Control, A.Zinober ed., Springer
1994.
- "Necessary
conditions for global feedback control", submitted for publication.
- "Linear
and Nonlinear Controllability Concepts: a Geometric Approach through
Invariant Subspaces" Technical report CCEC-97-0410, UCSB, April
1997.
- "Lyapunov
Functions and Controllers for the Global Stabilization of the Two and
Three Dimensional Moore-Greitzer Compressor Dynamics Models" Technical
Report CCEC-97-0409, UCSB, April 1997; also appeared in Proc. CDC 97.