NDLI: A Parametric Lyapunov Equation Approach to the Design of Low Gain Feedback

Content Provider	IEEE Xplore Digital Library
Author	Zhou Bin Duan Guangren Lin Zongli
Copyright Year	2007
Description	Author affiliation: Harbin Inst. of Technol., Harbin (Zhou Bin; Duan Guangren; Lin Zongli)
Abstract	Low gain feedback has found several applications in constrained control systems, robust control and nonlinear control. Low gain feedback refers to a family of stabilizing state feedback gains that are parameterized in a scalar and go to zero as the scalar decreases to zero. Such feedback gains can be constructed either by an eigenstructure assignment algorithm or through the solution of a parametric algebraic Riccati equation (ARE). The eigenstructure assignment approach leads to feedback gains in the form of a matrix polynomial in the parameter, while the ARE approach requires the solution of an ARE for each value of the parameter. This paper proposes an alternative approach to low gain feedback design based on the solution of a parametric Lyapunov equation. Such an approach possesses the advantages of both the eigenstructure assignment approach and the ARE based approach. It also avoids the possible numerical stiffness in solving a parametric ARE and the structural decomposition of the open loop system that is required by the eigenstructure assignment approach.
Starting Page	678
Ending Page	682
File Size	306847
Page Count	5
File Format	PDF
ISBN	9787811240559
DOI	10.1109/CHICC.2006.4347632
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems set invariance State feedback Hydrogen Nonlinear control systems Performance gain Control systems parametric Lyapunov equation global stabilization Riccati equations Hydraulic actuators Polynomials actuator saturation semi-global stabilization low gain feedback Poles and zeros
Content Type	Text
Resource Type	Article

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