Controller Synthesis for Feedback Systems with Saturation: An LPV-Based Approach

Yasuyuki TOMIDA; Kiyotsugu TAKABA

Controller Synthesis for Feedback Systems with Saturation: An LPV-Based Approach

Yasuyuki TOMIDA, Kiyotsugu TAKABA

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This paper is concerned with the controller synthesis for feedback systems with saturation based on the LPV system representation. The LPV system representation, combined with use of the detailed structure of saturation nonlinearity, enables us to reduce the conservativeness. In this paper, we develop a new iterative algorithm for designing a linear time-invariant controller which locally stabilizes the nonlinear closed-loop system and achieves the prescribed quadratic control performance. The present design method provides an explicit expression for a guaranteed domain of attraction, and maximizes the estimated region of the plant states for which the stability and the prescribed quadratic performance are satisfied. A numerical example shows the effectiveness of the present design method.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.9 pp.2207-2212

Publication Date: 2001/09/01

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Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

Category: Circuits & Systems

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Yasuyuki TOMIDA, Kiyotsugu TAKABA, "Controller Synthesis for Feedback Systems with Saturation: An LPV-Based Approach" in IEICE TRANSACTIONS on Fundamentals, vol. E84-A, no. 9, pp. 2207-2212, September 2001, doi: .
Abstract: This paper is concerned with the controller synthesis for feedback systems with saturation based on the LPV system representation. The LPV system representation, combined with use of the detailed structure of saturation nonlinearity, enables us to reduce the conservativeness. In this paper, we develop a new iterative algorithm for designing a linear time-invariant controller which locally stabilizes the nonlinear closed-loop system and achieves the prescribed quadratic control performance. The present design method provides an explicit expression for a guaranteed domain of attraction, and maximizes the estimated region of the plant states for which the stability and the prescribed quadratic performance are satisfied. A numerical example shows the effectiveness of the present design method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_9_2207/_p

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@ARTICLE{e84-a_9_2207,
author={Yasuyuki TOMIDA, Kiyotsugu TAKABA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Controller Synthesis for Feedback Systems with Saturation: An LPV-Based Approach},
year={2001},
volume={E84-A},
number={9},
pages={2207-2212},
abstract={This paper is concerned with the controller synthesis for feedback systems with saturation based on the LPV system representation. The LPV system representation, combined with use of the detailed structure of saturation nonlinearity, enables us to reduce the conservativeness. In this paper, we develop a new iterative algorithm for designing a linear time-invariant controller which locally stabilizes the nonlinear closed-loop system and achieves the prescribed quadratic control performance. The present design method provides an explicit expression for a guaranteed domain of attraction, and maximizes the estimated region of the plant states for which the stability and the prescribed quadratic performance are satisfied. A numerical example shows the effectiveness of the present design method.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Controller Synthesis for Feedback Systems with Saturation: An LPV-Based Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2207
EP - 2212
AU - Yasuyuki TOMIDA
AU - Kiyotsugu TAKABA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2001
AB - This paper is concerned with the controller synthesis for feedback systems with saturation based on the LPV system representation. The LPV system representation, combined with use of the detailed structure of saturation nonlinearity, enables us to reduce the conservativeness. In this paper, we develop a new iterative algorithm for designing a linear time-invariant controller which locally stabilizes the nonlinear closed-loop system and achieves the prescribed quadratic control performance. The present design method provides an explicit expression for a guaranteed domain of attraction, and maximizes the estimated region of the plant states for which the stability and the prescribed quadratic performance are satisfied. A numerical example shows the effectiveness of the present design method.
ER -