Global Disturbance Rejection of Lower Triangular Systems With an Unknown Linear Exosystem

Liu, Lu; Chen, Zhiyong; Huang, Jie

doi:10.1109/tac.2011.2150330

IEEE Trans. Automat. Contr.

2011

DOI: 10.1109/tac.2011.2150330

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Global Disturbance Rejection of Lower Triangular Systems With an Unknown Linear Exosystem

Lu Liu

Zhiyong Chen

Jie Huang

Abstract: Stability analysis for continuous-time positive systems with time-varying delays," IEEE Trans. Autom. Control, vol. 55, no. 4, pp. 1024-1028, Apr. 2010 M. Margaliot and M. S. Branicky, "Nice reachability for planar bilinear control systems with applications to planar linear switched systems,"

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Cited by 37 publications

References 23 publications

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Robust and nonlinear control literature survey (No. 26)

2011

Intl J Robust & Nonlinear

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To keep the readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of robust and nonlinear control six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized, these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please email Dr. Jiqiang Wang at jiqiang.wang@nuaa.edu.cn.

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Robust and nonlinear control literature survey (No. 26)

2011

Intl J Robust & Nonlinear

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Global robust output regulation for a class of multivariable systems

Ping

Huang

2011

Intl J Robust & Nonlinear

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SUMMARYIn this paper, we study the global robust output regulation problem for a class of multivariable nonlinear systems. The problem is first converted into a stabilization problem of an augmented system composed of the original plant and an internal model. The augmented system is a multi‐input system containing both dynamic uncertainty and time‐varying static uncertainty. By decomposing the multi‐input control problem into several single‐input control problems, we will solve the problem by solving several single‐input control problems via a recursive approach utilizing the changing supply function technique. The theoretical result is applied to the speed tracking control and load torque disturbance rejection problem of a surface‐mounted permanent magnet synchronous motor. Copyright © 2011 John Wiley & Sons, Ltd.

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Adaptive disturbance rejection for strict-feedback switched nonlinear systems using multiple Lyapunov functions

Long

Zhao

2013

Int. J. Robust Nonlinear Control

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SUMMARYThis paper investigates the problem of global disturbance rejection for switched nonlinear systems in strictfeedback form with unknown exosystem where the solvability of the disturbance rejection problem for subsystems is not assumed. First, a sufficient condition for the solvability of the global disturbance rejection problem is given. As an extension of the classic concept of internal model for non-switched systems, a new concept of switched internal model is proposed. Second, in order to solve the problem in question, a constructive adaptive control methodology is established on the basis of the multiple Lyapunov functions method, backstepping, and the changing supply functions technique. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.

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Global Disturbance Rejection of Lower Triangular Systems With an Unknown Linear Exosystem

Cited by 37 publications

References 23 publications

Robust and nonlinear control literature survey (No. 26)

Robust and nonlinear control literature survey (No. 26)

Global robust output regulation for a class of multivariable systems

Adaptive disturbance rejection for strict-feedback switched nonlinear systems using multiple Lyapunov functions

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