Robust controllers for infinite-dimensional systems

Autor: Curtain, Ruth, Curtain, RF, Bensoussan, A, Lions, JL

Publikováno v: Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, 140-159
STARTPAGE=140;ENDPAGE=159;TITLE=Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems
Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems ISBN: 9783540561552

This paper describes three theories for robust controller design for infinite-dimensional linear systems. They concern unstructured perturbations in the transfer function of additive, multiplicative and coprime-factor types. Explicit formulas are giv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fd60c9a955a2bdcc91f93da2422c129
https://hdl.handle.net/11370/f0a713c5-c4f9-4286-b0e9-07402420f451

Linear operator inequalities for strongly stable weakly regular linear systems

Autor: Curtain, RF

Publikováno v: Mathematics of control signals and systems, 14(4), 299-337. SPRINGER LONDON LTD

We consider the question of the existence of solutions to certain linear operator inequalities (Lur'e equations) for strongly stable, weakly regular linear systems with generating operators A, B, C, 0. These operator inequalities are related to the s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::973cf6cc9bf579f19c6ae9f2436c6a43
https://research.rug.nl/en/publications/c03dd26c-2634-4cdc-a1fe-2dd2686ff261

Stabilization of irrational transfer functions by controllers with internal loop

Autor: Curtain, RF, Weiss, G, Weiss, M, Borichev, AA, Nikolski, NK

Publikováno v: SYSTEMS, APPROXIMATION, SINGULAR INTEGRAL OPERATORS, AND RELATED TOPICS, 179-207
STARTPAGE=179;ENDPAGE=207;TITLE=SYSTEMS, APPROXIMATION, SINGULAR INTEGRAL OPERATORS, AND RELATED TOPICS

Transfer functions are called well-posed if they axe bounded and analytic on some right half-plane. Two concepts of L-2-stabilization are analyzed for well-posed transfer functions: the usual one, as in Figure 3, and a more general one called stabili

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::f05e9da465f86f87ac82968f6b022d50
https://research.rug.nl/en/publications/9c149341-42d8-45c9-bf00-7204286c8d74

Old and new perspectives on the positive-real-lemma in systems and control theory

Autor: Curtain, RF

Publikováno v: Zeitschrift für Angewandte Mathematik und Mechanik, 79(9), 579-590

This essay is based on an invited plenary lecture presented at the 1998 GAMM conference in Bremen, Germany. This was a survey of the historical development of the positive-real lemma, a key result in central theory: from its beginnings in 1962 up to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::fa93a48335c746d32c2b06e490755227
https://research.rug.nl/en/publications/1f4e7251-3081-426d-bc78-621ac5643683

COMPARISON-THEOREMS FOR INFINITE-DIMENSIONAL RICCATI-EQUATIONS

Autor: CURTAIN, RF, RODMAN, L

Publikováno v: Systems & Control Letters, 15(2), 153-159. ELSEVIER SCIENCE BV

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::2b5724210976a0954cef48d44c59a71b
https://research.rug.nl/en/publications/4f950239-7b1d-4de7-8a88-a5088aece0cf