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by Feng Zhao, Feng Zhao
In Tzafestas and Verbruggen, editors, Arti intelligence in industrial decision making, control, and automation
http://www.parc.xerox.com/spl/members/zhao/papers/book-95.ps
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Abstract:
We develop and demonstrate an autonomous control synthesis system called Phase Space Navigator for nonlinear control systems, with which a global, nonlinear controller for a dynamical system can be automatically synthesized. The Phase Space Navigator intelligently plans and navigates system trajectories in phase space. It finds optimal global paths from an initial state to the goal state in the phase space, consisting of a sequence of path segments connected at intermediate points where the control parameter changes. The method relies on the knowledge of dynamics in terms of phase-space geometry. Modeling and parsing phase spaces into trajectory flow pipes provide a way to efficiently reason about the phase-space structures and search for global control paths. The Phase Space Navigator has automatically synthesized a high-quality global controller for stabilizing a maglev train. The Phase Space Navigator is particularly suitable for synthesizing highperformance control systems that do not lend themselves to traditional design and analysis techniques. It can also assist control engineers in exploring much larger design spaces than otherwise possible.
Citations
|
5825
|
Introduction to Algorithms
– Cormen, Leiserson, et al.
- 2001
|
|
1397
|
Dynamic Programming
– Bellman
- 1957
|
|
554
|
Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields
– Guckenheimer, Holmes
- 1983
|
|
271
|
Applied Nonlinear Control
– E, Li
- 1991
|
|
44
|
Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
– Zhao
- 1994
|
|
29
|
KAM: A System for Intelligently Guiding Numerical Experimentation by Computer. Artificial Intelligence Series
– Yip
- 1991
|
|
23
|
Intelligence in scientific computing
– Abelson, Eisenberg, et al.
- 1989
|
|
23
|
Automatic Analysis of One-Parameter Planar Ordinary Differential Equations by Intelligent Numerical Simulation
– Sacks
- 1991
|
|
20
|
Phase-space control system design
– Bradley, Zhao
- 1993
|
|
15
|
Taming Chaotic Circuits
– Bradley
- 1992
|
|
13
|
MIT Scheme Reference Manual
– Hanson
- 1991
|
|
12
|
Control Systems of Variable Structure
– Itkis
- 1976
|
|
12
|
Automatic Analysis and Synthesis of Controllers for Dynamical Systems Based on Phase-space Knowledge
– Zhao
- 1992
|
|
11
|
Chaotic Vibrations
– Moon
- 1987
|
|
10
|
Phase space navigator: Towards automating control synthesis in phase spaces for nonlinear control systems
– Zhao
- 1991
|
|
8
|
Nonlinear Vibrations. Interscience
– Stoker
- 1950
|
|
7
|
Bifurcation Interpreter: A step towards the automatic analysis of dynamical systems
– Abelson
- 1990
|
|
7
|
Automatic design of a maglev controller in state space
– Zhao, Thornton
- 1992
|
|
7
|
Computational Dynamics: Modeling and Visualizing Trajectory Flows in Phase Space
– Zhao
- 1993
|
|
5
|
The Supercomputer Toolkit and its Applications
– Abelson, Berlin, et al.
- 1990
|
|
5
|
A magnetoelastic strange attractor
– Moon, Holmes
- 1979
|
|
4
|
Phase-plane Analysis of Automatic Control Systems with Nonlinear Gain Elements
– Kalman
- 1954
|
|
3
|
Nonlinear Control: An Introduction
– Isidori
- 1985
|
|
3
|
Electronic Circuits. MIT course notes
– Thornton
- 1991
|
|
1
|
Intelligent Computing About Complex Dynamical Systems
– Zhao
- 1993
|