Low-Gain Feedback via Parametric Riccati Equations

Hongjiu Yang; Yuanqing Xia; Qing Geng

doi:10.1007/978-981-13-3660-7_13

Low-Gain Feedback via Parametric Riccati Equations

Hongjiu Yang^*, Yuanqing Xia, Qing Geng

^*Corresponding author for this work

School of Automation

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Currently, three methods are used to construct low-gain feedback laws, i.e., an eigenstructure assignment approach, a parametric Riccati equation -based approach, and a parametric Lyapunov equation-based approach. According to eigenstructure assignment algorithms, exponential feedback gains have been constructed for continuous-time and discrete-time systems in [75] and [76], respectively. An approach to the low-gain feedback law has been developed in [77] and [131]. An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in [198] and [202]. In [176], a semi-global leader-following consensus problem has been investigated for multi-agent systems in the presence of both position saturation and bounded rate disturbances.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer International Publishing
Pages	243-266
Number of pages	24
DOIs	https://doi.org/10.1007/978-981-13-3660-7_13
Publication status	Published - 2019

Publication series

Name	Studies in Systems, Decision and Control
Volume	193
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

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abstract = "Currently, three methods are used to construct low-gain feedback laws, i.e., an eigenstructure assignment approach, a parametric Riccati equation -based approach, and a parametric Lyapunov equation-based approach. According to eigenstructure assignment algorithms, exponential feedback gains have been constructed for continuous-time and discrete-time systems in [75] and [76], respectively. An approach to the low-gain feedback law has been developed in [77] and [131]. An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in [198] and [202]. In [176], a semi-global leader-following consensus problem has been investigated for multi-agent systems in the presence of both position saturation and bounded rate disturbances.",

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AU - Geng, Qing

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AB - Currently, three methods are used to construct low-gain feedback laws, i.e., an eigenstructure assignment approach, a parametric Riccati equation -based approach, and a parametric Lyapunov equation-based approach. According to eigenstructure assignment algorithms, exponential feedback gains have been constructed for continuous-time and discrete-time systems in [75] and [76], respectively. An approach to the low-gain feedback law has been developed in [77] and [131]. An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in [198] and [202]. In [176], a semi-global leader-following consensus problem has been investigated for multi-agent systems in the presence of both position saturation and bounded rate disturbances.

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ER -

Low-Gain Feedback via Parametric Riccati Equations

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