Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2007.06.019
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dc.titleExplicit construction of H∞ control law for a class of nonminimum phase nonlinear systems
dc.contributor.authorLan, W.
dc.contributor.authorChen, B.M.
dc.date.accessioned2014-12-02T08:05:30Z
dc.date.available2014-12-02T08:05:30Z
dc.date.issued2008-03
dc.identifier.citationLan, W., Chen, B.M. (2008-03). Explicit construction of H∞ control law for a class of nonminimum phase nonlinear systems. Automatica 44 (3) : 738-744. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2007.06.019
dc.identifier.issn00051098
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/114504
dc.description.abstractThis paper addresses a nonlinear H∞ control problem for a class of nonminimum phase nonlinear systems. 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 proofs of our results yield explicit algorithms for constructing required control laws 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 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.automatica.2007.06.019
dc.sourceScopus
dc.subjectDisturbance attenuation
dc.subjectL2 gain
dc.subjectNonlinear systems
dc.subjectNonminimum phase
dc.typeArticle
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1016/j.automatica.2007.06.019
dc.description.sourcetitleAutomatica
dc.description.volume44
dc.description.issue3
dc.description.page738-744
dc.description.codenATCAA
dc.identifier.isiut000254596100013
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