### Abstract

A general class of nonlinear systems containing delays in both state and input is considered and a dynamic high-gain scaling based control design is proposed. The class of systems considered is of a general structure which is not necessarily of any triangular form. All functions appearing in the system dynamics are allowed to be uncertain as long as some polynomial bounds on ratios of uncertain system terms are available. Both state and input delays are allowed to be time-varying and uncertain. The control design is based on our recent results on generalized scaling utilizing appropriate (not necessarily successive) powers of the scaling parameter. The control implementation does not require knowledge of the time delays or any magnitude bounds thereof; the only information about the time delays that is required is a bound on the rate of variation of time delays.

Original language | English (US) |
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Title of host publication | Proceedings of the 2011 American Control Conference, ACC 2011 |

Pages | 4361-4366 |

Number of pages | 6 |

State | Published - 2011 |

Event | 2011 American Control Conference, ACC 2011 - San Francisco, CA, United States Duration: Jun 29 2011 → Jul 1 2011 |

### Other

Other | 2011 American Control Conference, ACC 2011 |
---|---|

Country | United States |

City | San Francisco, CA |

Period | 6/29/11 → 7/1/11 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the 2011 American Control Conference, ACC 2011*(pp. 4361-4366). [5990969]

**A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays.** / Krishnamurthy, P.; Khorrami, Farshad.

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

*Proceedings of the 2011 American Control Conference, ACC 2011.*, 5990969, pp. 4361-4366, 2011 American Control Conference, ACC 2011, San Francisco, CA, United States, 6/29/11.

}

TY - GEN

T1 - A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays

AU - Krishnamurthy, P.

AU - Khorrami, Farshad

PY - 2011

Y1 - 2011

N2 - A general class of nonlinear systems containing delays in both state and input is considered and a dynamic high-gain scaling based control design is proposed. The class of systems considered is of a general structure which is not necessarily of any triangular form. All functions appearing in the system dynamics are allowed to be uncertain as long as some polynomial bounds on ratios of uncertain system terms are available. Both state and input delays are allowed to be time-varying and uncertain. The control design is based on our recent results on generalized scaling utilizing appropriate (not necessarily successive) powers of the scaling parameter. The control implementation does not require knowledge of the time delays or any magnitude bounds thereof; the only information about the time delays that is required is a bound on the rate of variation of time delays.

AB - A general class of nonlinear systems containing delays in both state and input is considered and a dynamic high-gain scaling based control design is proposed. The class of systems considered is of a general structure which is not necessarily of any triangular form. All functions appearing in the system dynamics are allowed to be uncertain as long as some polynomial bounds on ratios of uncertain system terms are available. Both state and input delays are allowed to be time-varying and uncertain. The control design is based on our recent results on generalized scaling utilizing appropriate (not necessarily successive) powers of the scaling parameter. The control implementation does not require knowledge of the time delays or any magnitude bounds thereof; the only information about the time delays that is required is a bound on the rate of variation of time delays.

UR - http://www.scopus.com/inward/record.url?scp=80053166139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053166139&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781457700804

SP - 4361

EP - 4366

BT - Proceedings of the 2011 American Control Conference, ACC 2011

ER -