### 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 language | English (US) |
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Title of host publication | Proceedings of the 31st Chinese Control Conference, CCC 2012 |

Pages | 165-170 |

Number of pages | 6 |

State | Published - 2012 |

Event | 31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: Jul 25 2012 → Jul 27 2012 |

### Other

Other | 31st Chinese Control Conference, CCC 2012 |
---|---|

Country | China |

City | Hefei |

Period | 7/25/12 → 7/27/12 |

### Fingerprint

### 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

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 31st Chinese Control Conference, CCC 2012.*, 6389921, pp. 165-170, 31st Chinese Control Conference, CCC 2012, Hefei, China, 7/25/12.

}

TY - GEN

T1 - On the effects of redundant control inputs in discrete-time systems

AU - Duan, Zhisheng

AU - Huang, Lin

AU - Jiang, Zhong-Ping

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - optimal control

KW - redundant control

KW - Riccati equation

KW - simplectic matrix

UR - http://www.scopus.com/inward/record.url?scp=84873546167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873546167&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9789881563811

SP - 165

EP - 170

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

ER -