Precision preview-based stable-inversion for nonlinear nonminimum-phase systems: The VTOL example

Qingze Zou; Santosh Devasia

doi:10.1016/j.automatica.2006.08.007

Precision preview-based stable-inversion for nonlinear nonminimum-phase systems: The VTOL example

Qingze Zou, Santosh Devasia

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

78 Scopus citations

Abstract

This article quantifies the importance of the future desired trajectory in determining the exact-output-tracking input for nonlinear, nonminimum-phase systems by using system inversion techniques. It is intuitive that the effect of the desired output's distant-future values, on the output-tracking input at the current time instant, should be small. Therefore, at a current time instant (t_c), preview information of the desired output in a finite-time window [t_c, t_c + T_p] should be sufficient to compute the output-tracking input with an arbitrarily small prescribed error, if the preview time T_p is sufficiently large. The contribution of this article is the quantification of the needed preview time T_p by using the benchmark VTOL aircraft model as an example. Additionally, simulation results are presented to evaluate the efficacy of the finite-preview-based stable-inversion approach.

Original language	English (US)
Pages (from-to)	117-127
Number of pages	11
Journal	Automatica
Volume	43
Issue number	1
DOIs	https://doi.org/10.1016/j.automatica.2006.08.007
State	Published - Jan 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

Keywords

Aircraft guidance
Nonlinear nonminimum-phase systems
Output tracking
Preview-based approach
Stable inversion
VTOL aircraft

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10.1016/j.automatica.2006.08.007

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title = "Precision preview-based stable-inversion for nonlinear nonminimum-phase systems: The VTOL example",

abstract = "This article quantifies the importance of the future desired trajectory in determining the exact-output-tracking input for nonlinear, nonminimum-phase systems by using system inversion techniques. It is intuitive that the effect of the desired output's distant-future values, on the output-tracking input at the current time instant, should be small. Therefore, at a current time instant (tc), preview information of the desired output in a finite-time window [tc, tc + Tp] should be sufficient to compute the output-tracking input with an arbitrarily small prescribed error, if the preview time Tp is sufficiently large. The contribution of this article is the quantification of the needed preview time Tp by using the benchmark VTOL aircraft model as an example. Additionally, simulation results are presented to evaluate the efficacy of the finite-preview-based stable-inversion approach.",

keywords = "Aircraft guidance, Nonlinear nonminimum-phase systems, Output tracking, Preview-based approach, Stable inversion, VTOL aircraft",

author = "Qingze Zou and Santosh Devasia",

note = "Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Henk Nijmeijer under the direction of Editor Hassan Khalil. Work supported by NASA Ames Research Center Grant NAG 2-1450. ",

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T2 - The VTOL example

AU - Zou, Qingze

AU - Devasia, Santosh

N1 - Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Henk Nijmeijer under the direction of Editor Hassan Khalil. Work supported by NASA Ames Research Center Grant NAG 2-1450.

PY - 2007/1

Y1 - 2007/1

N2 - This article quantifies the importance of the future desired trajectory in determining the exact-output-tracking input for nonlinear, nonminimum-phase systems by using system inversion techniques. It is intuitive that the effect of the desired output's distant-future values, on the output-tracking input at the current time instant, should be small. Therefore, at a current time instant (tc), preview information of the desired output in a finite-time window [tc, tc + Tp] should be sufficient to compute the output-tracking input with an arbitrarily small prescribed error, if the preview time Tp is sufficiently large. The contribution of this article is the quantification of the needed preview time Tp by using the benchmark VTOL aircraft model as an example. Additionally, simulation results are presented to evaluate the efficacy of the finite-preview-based stable-inversion approach.

AB - This article quantifies the importance of the future desired trajectory in determining the exact-output-tracking input for nonlinear, nonminimum-phase systems by using system inversion techniques. It is intuitive that the effect of the desired output's distant-future values, on the output-tracking input at the current time instant, should be small. Therefore, at a current time instant (tc), preview information of the desired output in a finite-time window [tc, tc + Tp] should be sufficient to compute the output-tracking input with an arbitrarily small prescribed error, if the preview time Tp is sufficiently large. The contribution of this article is the quantification of the needed preview time Tp by using the benchmark VTOL aircraft model as an example. Additionally, simulation results are presented to evaluate the efficacy of the finite-preview-based stable-inversion approach.

KW - Aircraft guidance

KW - Nonlinear nonminimum-phase systems

KW - Output tracking

KW - Preview-based approach

KW - Stable inversion

KW - VTOL aircraft

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Precision preview-based stable-inversion for nonlinear nonminimum-phase systems: The VTOL example

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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