Please use this identifier to cite or link to this item: https://doi.org/10.1109/ACC.2007.4282184
Title: Explicit construction of H∞ control law for a class of nonminimum phase nonlinear systems
Authors: Lan, W.
Chen, B.M. 
Issue Date: 2007
Citation: Lan, W.,Chen, B.M. (2007). Explicit construction of H∞ control law for a class of nonminimum phase nonlinear systems. Proceedings of the American Control Conference : 4703-4708. ScholarBank@NUS Repository. https://doi.org/10.1109/ACC.2007.4282184
Abstract: We tackle in this paper an H∞ control problem for a class of nonminimum phase nonlinear systems. The system nonlinearities, which depend on the system output, can be unknown, but satisfy some linear growth conditions. The given system is first transformed into a special coordinate basis, in which the system zero dynamics is divided into a stable part and an unstable part. A sufficient solvability condition is then established for solving the nonlinear H∞ control problem. Moreover, based on the sufficient solvability condition, an upper bound of the best achievable L2 gain from the system disturbance to the system controlled output is estimated for the nonlinear H∞ control problem. The proof of our result yield explicit algorithms for constructing required control law for solving the nonlinear H∞ control problem. In particular, the solution to the nonlinear H∞ control problem does not require solving any Hamilton-Jacobi equations. Finally, the obtained results are utilized to solve a benchmark problem on a rotational/translational actuator (RTAC) system. © 2007 IEEE.
Source Title: Proceedings of the American Control Conference
URI: http://scholarbank.nus.edu.sg/handle/10635/114558
ISBN: 1424409888
ISSN: 07431619
DOI: 10.1109/ACC.2007.4282184
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

35
checked on Mar 8, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.