A constructive approach to local stabilization of nonlinear systems by dynamic output feedback

Pengnian Chen; Daizhan Cheng; Zhong Ping Jiang

doi:10.1109/TAC.2006.878753

A constructive approach to local stabilization of nonlinear systems by dynamic output feedback

Pengnian Chen, Daizhan Cheng, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The note considers the problem of local stabilization of nonlinear systems by dynamic output feedback. A new concept, namely, local uniform observability of feedback control law, is introduced. The main result is that if a nonlinear system is Nth-order approximately stabilizable by a locally uniformly observable state feedback, then it is stabilizable by dynamic output feedback. Based on the approximate stability, a constructive method for designing dynamic compensators is presented. The design of the dynamic compensators is beyond the separation principle and can handle systems whose linearization might be uncontrollable and/or unobservable. An example of nonminimum phase nonlinear systems is presented to illustrate the utility of the results.

Original language	English (US)
Pages (from-to)	1166-1171
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2006.878753
State	Published - Jul 2006

Keywords

Dynamic output feedback
Local uniform observability
Nonlinear systems
Nonminimum phase systems
Stabilization

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2006.878753

Cite this

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title = "A constructive approach to local stabilization of nonlinear systems by dynamic output feedback",

abstract = "The note considers the problem of local stabilization of nonlinear systems by dynamic output feedback. A new concept, namely, local uniform observability of feedback control law, is introduced. The main result is that if a nonlinear system is Nth-order approximately stabilizable by a locally uniformly observable state feedback, then it is stabilizable by dynamic output feedback. Based on the approximate stability, a constructive method for designing dynamic compensators is presented. The design of the dynamic compensators is beyond the separation principle and can handle systems whose linearization might be uncontrollable and/or unobservable. An example of nonminimum phase nonlinear systems is presented to illustrate the utility of the results.",

keywords = "Dynamic output feedback, Local uniform observability, Nonlinear systems, Nonminimum phase systems, Stabilization",

author = "Pengnian Chen and Daizhan Cheng and Jiang, {Zhong Ping}",

note = "Funding Information: Manuscript received September 13, 2004; revised September 20, 2005 and November 16, 2005. Recommended by Associate Editor D. Nesic. This work was supported in part by the National Natural Science Foundation of China under grant 60274008,60274010, and in part by U.S. NSF grants ECS-0093176, OISE-0408925 and DMS-0504462.",

year = "2006",

month = jul,

doi = "10.1109/TAC.2006.878753",

language = "English (US)",

volume = "51",

pages = "1166--1171",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - A constructive approach to local stabilization of nonlinear systems by dynamic output feedback

AU - Chen, Pengnian

AU - Cheng, Daizhan

AU - Jiang, Zhong Ping

N1 - Funding Information: Manuscript received September 13, 2004; revised September 20, 2005 and November 16, 2005. Recommended by Associate Editor D. Nesic. This work was supported in part by the National Natural Science Foundation of China under grant 60274008,60274010, and in part by U.S. NSF grants ECS-0093176, OISE-0408925 and DMS-0504462.

PY - 2006/7

Y1 - 2006/7

N2 - The note considers the problem of local stabilization of nonlinear systems by dynamic output feedback. A new concept, namely, local uniform observability of feedback control law, is introduced. The main result is that if a nonlinear system is Nth-order approximately stabilizable by a locally uniformly observable state feedback, then it is stabilizable by dynamic output feedback. Based on the approximate stability, a constructive method for designing dynamic compensators is presented. The design of the dynamic compensators is beyond the separation principle and can handle systems whose linearization might be uncontrollable and/or unobservable. An example of nonminimum phase nonlinear systems is presented to illustrate the utility of the results.

AB - The note considers the problem of local stabilization of nonlinear systems by dynamic output feedback. A new concept, namely, local uniform observability of feedback control law, is introduced. The main result is that if a nonlinear system is Nth-order approximately stabilizable by a locally uniformly observable state feedback, then it is stabilizable by dynamic output feedback. Based on the approximate stability, a constructive method for designing dynamic compensators is presented. The design of the dynamic compensators is beyond the separation principle and can handle systems whose linearization might be uncontrollable and/or unobservable. An example of nonminimum phase nonlinear systems is presented to illustrate the utility of the results.

KW - Dynamic output feedback

KW - Local uniform observability

KW - Nonlinear systems

KW - Nonminimum phase systems

KW - Stabilization

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A constructive approach to local stabilization of nonlinear systems by dynamic output feedback

Abstract

Keywords

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