Consiglio Nazionale delle Ricerche

Tipo di prodottoArticolo in rivista
TitoloMixed Deterministic/Randomized Methods for Fixed Order Controller Design
Anno di pubblicazione2008
Formato
  • Elettronico
  • Cartaceo
Autore/iY. Fujisaki, Y. Oishi, R. Tempo
Affiliazioni autoriR. Tempo: CNR-IEIIT Y. Fujisaki: Kobe University Y. Oishi: Nanzan University
Autori CNR e affiliazioni
  • ROBERTO TEMPO VQR
Lingua/e
  • inglese
AbstractIn this paper, we propose a general methodology for designing fixed order controllers for single-input single-output plants. The controller parameters are classified into two classes: randomized and deterministically designed. For the first class, we study randomized algorithms. In particular, we present two low-complexity algorithms based on the Chernoff bound and on a related bound (often called "log-over-log" bound) which is generally used for optimization problems. Secondly, for the deterministically designed parameters, we reformulate the original problem as a set of linear equations. Then, we develop a technique which efficiently solves it using a combination of matrix inversions and sensitivity methods. A detailed complexity analysis of this technique is carried on, showing its superiority (from the computational point of view) to existing algorithms based on linear programming. In the second part of the paper, these results are extended to H(infinity) performance. One of the contributions is to prove that the deterministically designed parameters enjoy a special convex characterization. This characterization is then exploited in order to design fixed order controllers efficiently. We then show further extensions of these methods for stabilization of interval plants. In particular, we derive a simple one-parameter formula for computing the so-called critical frequencies which are required by the algorithms.
Lingua abstractinglese
Altro abstract-
Lingua altro abstract-
Pagine da2033
Pagine a2047
Pagine totali-
RivistaIEEE transactions on automatic control (Print)
Attiva dal 1963
Editore: Institute of Electrical and Electronics Engineers, - New York, N.Y.
Paese di pubblicazione: Stati Uniti d'America
Lingua: inglese
ISSN: 0018-9286
Titolo chiave: IEEE transactions on automatic control (Print)
Titolo proprio: IEEE transactions on automatic control. (Print)
Titolo abbreviato: IEEE trans. automat. contr. (Print)
Titoli alternativi:
  • Transactions on automatic control (Print)
  • Automatic control (Print)
Numero volume della rivista53
Fascicolo della rivista-
DOI10.1109/TAC.2010.2042984
Verificato da refereeSì: Internazionale
Stato della pubblicazione-
Indicizzazione (in banche dati controllate)
  • ISI Web of Science (WOS) (Codice:WOS:000260220000005)
Parole chiaveFixed order controller design; H(infinity) performance; interval plants; randomized algorithms; stabilization
Link (URL, URI)-
Titolo parallelo-
Data di accettazione-
Note/Altre informazioni-
Strutture CNR
  • IEIIT — Istituto di elettronica e di ingegneria dell'informazione e delle telecomunicazioni
Moduli CNR
    Progetti Europei-
    Allegati
    • Mixed Deterministic/Randomized Methods for Fixed Order Controller Design

    Dati storici
    I dati storici non sono modificabili, sono stati ereditati da altri sistemi (es. Gestione Istituti, PUMA, ...) e hanno solo valore storico.
    Area disciplinareAI, Robotics & Automatic Control
    Area valutazione CIVRIngegneria industriale e informatica
    Rivista ISIIEEE TRANSACTIONS ON AUTOMATIC CONTROL [42592J0]