On the effects of redundant control inputs

Zhisheng Duan, Lin Huang, Yao Yao, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

This paper considers effects of redundant control inputs on system performance. A necessary and sufficient condition for strict decrease of the quadratic performance index with input extension is introduced. For the non-strict decrease cases, the initial state set is determined by using Hamilton matrix eigenvectors and generalized eigenvectors. The H2 optimal control problem is similarly studied on the basis of state feedback and dynamic output feedback controllers. Both linear matrix inequality (LMI) and Riccati equation based methods are established. The guaranteed cost problem is also solved for uncertain systems with input extension. An iterative optimization algorithm is presented, for choosing the input matrix columns for a better performance index. A satellite launch vehicle (SLV) system is used to illustrate the results.

Original languageEnglish (US)
Pages (from-to)2168-2174
Number of pages7
JournalAutomatica
Volume48
Issue number9
DOIs
StatePublished - Sep 2012

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Eigenvalues and eigenfunctions
Riccati equations
Uncertain systems
Launch vehicles
Linear matrix inequalities
State feedback
Satellites
Feedback
Controllers
Costs

Keywords

  • Hamilton matrix
  • Optimal control
  • Redundant control
  • Riccati equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

On the effects of redundant control inputs. / Duan, Zhisheng; Huang, Lin; Yao, Yao; Jiang, Zhong-Ping.

In: Automatica, Vol. 48, No. 9, 09.2012, p. 2168-2174.

Research output: Contribution to journalArticle

Duan, Zhisheng ; Huang, Lin ; Yao, Yao ; Jiang, Zhong-Ping. / On the effects of redundant control inputs. In: Automatica. 2012 ; Vol. 48, No. 9. pp. 2168-2174.
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