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|Title:||Explicit constructions of global stabilization and nonlinear H ∞ control laws for a class of nonminimum phase nonlinear multivariable systems|
Nonminimum phase systems
|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|
|Appears in Collections:||Staff Publications|
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