Please use this identifier to cite or link to this item: https://doi.org/10.1002/rnc.1275
Title: Explicit constructions of global stabilization and nonlinear H ∞ control laws for a class of nonminimum phase nonlinear multivariable systems
Authors: Lan, W.
Chen, B.M. 
Lewis, F.L.
Keywords: Disturbance attenuation
H∞ control
L2-gain
Nonlinear systems
Nonminimum phase systems
Stabilization
Issue Date: Aug-2008
Citation: Lan, W., Chen, B.M., Lewis, F.L. (2008-08). Explicit constructions of global stabilization and nonlinear H ∞ control laws for a class of nonminimum phase nonlinear multivariable systems. International Journal of Robust and Nonlinear Control 18 (12) : 1357-1384. ScholarBank@NUS Repository. https://doi.org/10.1002/rnc.1275
Abstract: This paper investigates a global stabilization problem and a nonlinear H∞ control problem for a class of nonminimum phase nonlinear multivariable systems. To avoid the complicated recursive design procedure, an asymptotic time-scale and eigenstructure assignment method is adopted to construct the control laws for the stabilization problem and the nonlinear H∞ control problem. A sufficient solvability condition is established on the unstable zero dynamics of the system for global stabilization problem and nonlinear H∞ control problem, respectively. Moreover, based on the sufficient solvability condition, an upper bound of the achievable L2-gain is estimated for the nonlinear H∞ control problem. Copyright © 2007 John Wiley & Sons, Ltd.
Source Title: International Journal of Robust and Nonlinear Control
URI: http://scholarbank.nus.edu.sg/handle/10635/82323
ISSN: 10498923
DOI: 10.1002/rnc.1275
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