Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation

Abstract

The goal of this research is to develop high-performance computational tools for designing control systems for a class of complex physical systems. (1) Developed a verification algorithm for verifying control laws using phase-space geometric modeling of dynamical systems. The algorithm evolves a hierarchically-refined bound of system nonlinear dynamics and can address practical concerns such as sensor, actuator, and modeling uncertainties in a systematic manner. We have applied the algorithm to the maglev control system prototype and compared the results against the physical measurements. (2) Constructed a physical experiment to study distributed acoustic sensing. The experiment comprises an enclosed chamber measured 1.7m x 0.846m x 0.201m, and an 8-channel A/D and D/A system with 6 microphones and a speaker. (3) Started to investigate control system design and optimization for distributed parameter physical systems (systems modeled by partial differential equations). (4) Will present the control verification paper at the IFAC International Symposium on Artificial Intelligence in Real-Time Control, Grand Canyon, AZ in October. Have presented an invited tutorial at AAAI National Conference in Madison, Wisconsin, July 1998. Jeff May and Feng Zhao, "Verification of control laws using phase-space geometric modeling of dynamical systems." IFAC AIRTC-98. Feng Zhao and Chris Bailey-Kellogg, "Intelligent Simulation." AAAI-98 Tutorial Forum.

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Document Details

Document Type
Technical Report
Publication Date
Sep 17, 1998
Accession Number
ADA353610

Entities

People

  • Feng Zhao

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Cameras
  • Cognitive Science
  • Computational Science
  • Computer Science
  • Computer Vision
  • Control Systems
  • Coordinate Systems
  • Data Mining
  • Differential Equations
  • Fluid Dynamics
  • Geometry
  • Information Science
  • Maglev
  • Reasoning
  • Three Dimensional
  • Two Dimensional

Readers

  • Academic Conference Management
  • Robotics and Automation.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • AI & ML
  • AI & ML - Autonomous Systems
  • AI & ML - Machine Learning Algorithms
  • Space
  • Space - Spacecraft Maneuvers