NDLI: Explicit Construction of H Control Law for a Class of Nonminimum Phase Nonlinear Systems

Content Provider	IEEE Xplore Digital Library
Author	Weiyao Lan Chen, B.M.
Copyright Year	2007
Description	Author affiliation: Xiamen Univ., Xiamen (Weiyao Lan)
Abstract	We tackle in this paper an $H_{infin}$ 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 $H_{infin}$ control problem. Moreover, based on the sufficient solvability condition, an upper bound of the best achievable $L_{2}$ gain from the system disturbance to the system controlled output is estimated for the nonlinear $H_{infin}$ control problem. The proof of our result yield explicit algorithms for constructing required control law for solving the nonlinear $H_{infin}$ control problem. In particular, the solution to the nonlinear $H_{infin}$ 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.
Starting Page	4703
Ending Page	4708
File Size	207866
Page Count	6
File Format	PDF
ISBN	1424409888
ISSN	07431619
DOI	10.1109/ACC.2007.4282184
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear control systems Control systems Nonlinear systems Nonlinear dynamical systems Nonlinear equations Output feedback Upper bound Automatic control Optimal control Cities and towns
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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