On the effects of redundant control inputs in discrete-time systems

Zhisheng Duan, Lin Huang, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers the effects of the redundant control inputs in discrete-time systems. A necessary and sufficient condition for the 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 simplictic matrix eigenvectors and generalized eigenvectors. The guaranteed cost problem is also solved for uncertain systems with input extension. An optimizing iterative algorithm is presented to choose the input matrix columns for a better performance index. An example is given to illustrate the results.

Original languageEnglish (US)
Title of host publicationProceedings of the 31st Chinese Control Conference, CCC 2012
Pages165-170
Number of pages6
StatePublished - 2012
Event31st Chinese Control Conference, CCC 2012 - Hefei, China
Duration: Jul 25 2012Jul 27 2012

Other

Other31st Chinese Control Conference, CCC 2012
CountryChina
CityHefei
Period7/25/127/27/12

Fingerprint

Performance Index
Discrete-time Systems
Eigenvalues and eigenfunctions
Eigenvector
Decrease
Uncertain systems
Uncertain Systems
Iterative Algorithm
Choose
Necessary Conditions
Sufficient Conditions
Costs

Keywords

  • optimal control
  • redundant control
  • Riccati equation
  • simplectic matrix

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Duan, Z., Huang, L., & Jiang, Z-P. (2012). On the effects of redundant control inputs in discrete-time systems. In Proceedings of the 31st Chinese Control Conference, CCC 2012 (pp. 165-170). [6389921]

On the effects of redundant control inputs in discrete-time systems. / Duan, Zhisheng; Huang, Lin; Jiang, Zhong-Ping.

Proceedings of the 31st Chinese Control Conference, CCC 2012. 2012. p. 165-170 6389921.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Duan, Z, Huang, L & Jiang, Z-P 2012, On the effects of redundant control inputs in discrete-time systems. in Proceedings of the 31st Chinese Control Conference, CCC 2012., 6389921, pp. 165-170, 31st Chinese Control Conference, CCC 2012, Hefei, China, 7/25/12.
Duan Z, Huang L, Jiang Z-P. On the effects of redundant control inputs in discrete-time systems. In Proceedings of the 31st Chinese Control Conference, CCC 2012. 2012. p. 165-170. 6389921
Duan, Zhisheng ; Huang, Lin ; Jiang, Zhong-Ping. / On the effects of redundant control inputs in discrete-time systems. Proceedings of the 31st Chinese Control Conference, CCC 2012. 2012. pp. 165-170
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