Control of nonlinear, continuous, dynamic systems via finite elements, sensitivity analysis, and optimization

Research output: Contribution to journalArticlepeer-review

Abstract

A general methodology to design open loop controllers for nonlinear, dynamic, continuous systems is presented and applied to control a single flexible link (SFL). In this application, the partial differential equations that describe the beam system are first analyzed via the finite element method (FEM) and Newmark integration method. Two open loop control inputs to achieve specified system performance criteria are then computed by posing and solving inverse dynamics problems. These analyses use nonlinear programming (NLP) algorithms and analytical gradients that are computed by the direct sensitivity method. The open loop control is verified experimentally. Closed loop controller synthesis for linear time invariant (LTI) and linear time varying systems (LTV) is relatively well understood. To apply this knowledge base to the control of the SFL, the nonlinear finite element plant model is linearized and recast in standard state space form.

Original languageEnglish (US)
Pages (from-to)183-199
Number of pages17
JournalStructural and Multidisciplinary Optimization
Volume26
Issue number3-4
DOIs
StatePublished - Feb 2004

Keywords

  • Closed-loop control
  • Finite elements
  • Flexible beam control
  • Nonlinear programming
  • Sensitivity analysis

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

Fingerprint Dive into the research topics of 'Control of nonlinear, continuous, dynamic systems via finite elements, sensitivity analysis, and optimization'. Together they form a unique fingerprint.

Cite this