On the effects of redundant control inputs

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

Research output: Contribution to journalArticlepeer-review


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
Issue number9
StatePublished - Sep 2012


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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