TRACKING METHODOLOGY WITH ZEROS VARIATION AND DISTURBANCE REJECTION APPLIED TO UNCERTAIN SYSTEMS

Edvaldo Assunção; Cristiano Quevedo Andrea; Marcelo Carvalho Minhoto Teixeira; Rodrigo Cardim; João Onofre Pereira Pinto

doi:10.3182/20071017-3-BR-2923.00102

TRACKING METHODOLOGY WITH ZEROS VARIATION AND DISTURBANCE REJECTION APPLIED TO UNCERTAIN SYSTEMS

Edvaldo Assunção, Cristiano Quevedo Andrea, Marcelo Carvalho Minhoto Teixeira, Rodrigo Cardim, João Onofre Pereira Pinto

Research output: Contribution to journal › Conference article › peer-review

Abstract

The problem of signal tracking and disturbance rejection in linear continuous time-invariant systems with uncertain parameters is solved using a zero variation and dynamic output feedback, considering polytopic uncertainties in the plant parameters. It is used a feedback controller K_p(s) to minimize the H₂ guaranteed cost from the disturbance input to the output signal. And so, one uses the zeros of the controller in order to design the tracking system. The design is formulated in Linear Matrix Inequality (LMI) framework, such that the optimal solution of the stated control problem is obtained. Simulation of a practical problem illustrates the effectiveness of the proposed method.

Original language	English
Pages (from-to)	626-631
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	40
Issue number	20
DOIs	https://doi.org/10.3182/20071017-3-BR-2923.00102
State	Published - 2007
Externally published	Yes
Event	3rd IFAC Symposium on System Structure and Control, SSSC 2007 - Foz do Iguassu, Brazil Duration: Oct 17 2007 → Oct 19 2007

Funding

1 Supported by CNPq 2 Supported by FAPESP

Funders	Funder number
Fundação de Amparo à Pesquisa do Estado de São Paulo
Conselho Nacional de Desenvolvimento Científico e Tecnológico

Keywords

LMIs
Polytopic Uncertain
Tracking
Zeros Variation

Access to Document

10.3182/20071017-3-BR-2923.00102

Cite this

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title = "TRACKING METHODOLOGY WITH ZEROS VARIATION AND DISTURBANCE REJECTION APPLIED TO UNCERTAIN SYSTEMS",

abstract = "The problem of signal tracking and disturbance rejection in linear continuous time-invariant systems with uncertain parameters is solved using a zero variation and dynamic output feedback, considering polytopic uncertainties in the plant parameters. It is used a feedback controller Kp(s) to minimize the H2 guaranteed cost from the disturbance input to the output signal. And so, one uses the zeros of the controller in order to design the tracking system. The design is formulated in Linear Matrix Inequality (LMI) framework, such that the optimal solution of the stated control problem is obtained. Simulation of a practical problem illustrates the effectiveness of the proposed method.",

keywords = "LMIs, Polytopic Uncertain, Tracking, Zeros Variation",

author = "Edvaldo Assun{\c c}{\~a}o and Andrea, {Cristiano Quevedo} and Teixeira, {Marcelo Carvalho Minhoto} and Rodrigo Cardim and Pinto, {Jo{\~a}o Onofre Pereira}",

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AU - Assunção, Edvaldo

AU - Andrea, Cristiano Quevedo

AU - Teixeira, Marcelo Carvalho Minhoto

AU - Cardim, Rodrigo

AU - Pinto, João Onofre Pereira

PY - 2007

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N2 - The problem of signal tracking and disturbance rejection in linear continuous time-invariant systems with uncertain parameters is solved using a zero variation and dynamic output feedback, considering polytopic uncertainties in the plant parameters. It is used a feedback controller Kp(s) to minimize the H2 guaranteed cost from the disturbance input to the output signal. And so, one uses the zeros of the controller in order to design the tracking system. The design is formulated in Linear Matrix Inequality (LMI) framework, such that the optimal solution of the stated control problem is obtained. Simulation of a practical problem illustrates the effectiveness of the proposed method.

AB - The problem of signal tracking and disturbance rejection in linear continuous time-invariant systems with uncertain parameters is solved using a zero variation and dynamic output feedback, considering polytopic uncertainties in the plant parameters. It is used a feedback controller Kp(s) to minimize the H2 guaranteed cost from the disturbance input to the output signal. And so, one uses the zeros of the controller in order to design the tracking system. The design is formulated in Linear Matrix Inequality (LMI) framework, such that the optimal solution of the stated control problem is obtained. Simulation of a practical problem illustrates the effectiveness of the proposed method.

KW - LMIs

KW - Polytopic Uncertain

KW - Tracking

KW - Zeros Variation

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SN - 1474-6670

VL - 40

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TRACKING METHODOLOGY WITH ZEROS VARIATION AND DISTURBANCE REJECTION APPLIED TO UNCERTAIN SYSTEMS

Abstract

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Keywords

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