Robust output tracking, disturbance attenuation and synchronization for a class of Lur’e systems: a high-gain, fractional-order control approach
This paper addresses the problem of output tracking and unknown disturbances attenuation for a class of Lur’e nonlinear systems. The class consists of a forward path, containing a linear, time-invariant element, and a feedback path containing a static sector-bounded nonlinearity. A high-gain fractio...
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Veröffentlicht in: | Nonlinear dynamics 2024, Vol.112 (2), p.1011-1022 |
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creator | D’Alfonso, Luigi Fedele, Giuseppe Pugliese, Paolo |
description | This paper addresses the problem of output tracking and unknown disturbances attenuation for a class of Lur’e nonlinear systems. The class consists of a forward path, containing a linear, time-invariant element, and a feedback path containing a static sector-bounded nonlinearity. A high-gain fractional-order controller is proposed that guarantees, under some hypotheses on the frequency response of the linear part of the plant, the absolute stability of the system and the fulfilment of the requested performance. The proposed approach is then used to address the problem of output synchronization for chaotic systems. |
doi_str_mv | 10.1007/s11071-023-09111-4 |
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The proposed approach is then used to address the problem of output synchronization for chaotic systems.</description><subject>Attenuation</subject><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Control algorithms</subject><subject>Controllers</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Frequency response</subject><subject>High gain</subject><subject>Mathematical functions</subject><subject>Mechanical Engineering</subject><subject>Nonlinear systems</subject><subject>Nonlinearity</subject><subject>Original Paper</subject><subject>Synchronism</subject><subject>Tracking</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kM1KAzEQx4MoWKsv4CngtdFJNrvb9SbFLygIotBbyGaTdmub1CR7qCefwZuv55OYuoI3TwMz_4_hh9AphXMKUF4ESqGkBFhGoKKUEr6HBjQvM8KKaraPBlAxnk4wO0RHISwBIGMwHqCPR1d3IWLXxU0XcfRSvbR2PsJNG2Lna2mVxjJGbTsZW2extA0OW6sW3tn2rd8Z57HEaiVDwM7gaee_3j91koWo1-Ey3RbtfEHmsrUjbFLFziVXxPlGe6ycjd6tsNxsvJNqcYwOjFwFffI7h-j55vppckemD7f3k6spUayESEwJpuKG5VXTqKJuJKNaNRXPaJbrMqtLYEXD85wZpgDqHEwORV2zMS0kLQzLhuisz021r50OUSxd59NfQbAKOB9zlkNSsV6lvAvBayM2vl1LvxUUxI696NmLxF78sBc8mbLeFJLYzrX_i_7H9Q1erIrg</recordid><startdate>2024</startdate><enddate>2024</enddate><creator>D’Alfonso, Luigi</creator><creator>Fedele, Giuseppe</creator><creator>Pugliese, Paolo</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-0313-623X</orcidid><orcidid>https://orcid.org/0000-0003-0273-780X</orcidid><orcidid>https://orcid.org/0000-0001-7251-1334</orcidid></search><sort><creationdate>2024</creationdate><title>Robust output tracking, disturbance attenuation and synchronization for a class of Lur’e systems: a high-gain, fractional-order control approach</title><author>D’Alfonso, Luigi ; 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subjects | Attenuation Automotive Engineering Classical Mechanics Control Control algorithms Controllers Dynamical Systems Engineering Frequency response High gain Mathematical functions Mechanical Engineering Nonlinear systems Nonlinearity Original Paper Synchronism Tracking Vibration |
title | Robust output tracking, disturbance attenuation and synchronization for a class of Lur’e systems: a high-gain, fractional-order control approach |
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