Disturbance attenuation by measurement feedback in nonlinear systems via immersion and algebraic conditions
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Accepted version
Author(s)
Mylvaganam, Thulasi
Sassano, Mario
Type
Journal Article
Abstract
In this paper we consider the problem ofdis-turbance attenuation with internal stabilityfor nonlinear,input-affine systems via measurement feedback. The solu-tion to the above problem has been provided, three decadesago, in terms of the solution to a system of coupled non-linear, first-order partial differential equations (PDEs). Asa consequence, despite the rather elegant characterizationof the solution, the presence of PDEs renders the controldesign synthesis almost infeasible in practice. Therefore, tocircumvent such a computational bottle-neck, in this paperwe provide a novel characterization of the exact solution tothe problem that does not hinge upon theexplicitcompu-tation of the solution to any PDE. The result is achieved byconsidering theimmersionof the nonlinear dynamics intoan extended system for which locally positive definite func-tions solving the required PDEs may be directly provided inclosed-formby relying only on the solutions to Riccati-like,state-dependent, algebraic matrix equations.
Date Issued
2020-02
Date Acceptance
2019-05-26
Citation
IEEE Transactions on Automatic Control, 2020, 65 (2), pp.854-860
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
854
End Page
860
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
65
Issue
2
Copyright Statement
© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/8727967
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Attenuation
Output feedback
Optimal control
Nonlinear dynamical systems
Asymptotic stability
Attenuation measurement
Disturbance attenuation
nonlinear systems
optimal control
output feedback and observers
robust control
H-INFINITY-CONTROL
Industrial Engineering & Automation
0102 Applied Mathematics
0906 Electrical and Electronic Engineering
0913 Mechanical Engineering
Publication Status
Accepted
Date Publish Online
2019-06-03