l-Delay Input Reconstruction for Discrete-Time Linear Systems

none4As an extension of existing results on input reconstruction, we define l-delay state and input reconstruction, and we characterize this property through necessary and sufficient conditions. This property is shown to be a stronger notion of left invertibility, in which the initial state is assumed to be known. We demonstrate l-delay state and input reconstruction on several numerical examples, which show how the input reconstruction error depends on the locations of the zeros. Specifically, minimum-phase zeros give rise to decaying input reconstruction error, nonminimum-phase zeros give rise to growing reconstruction error, and zeros on the unit circle give rise to persistent reconstruction error.COLLANA/SERIE/RIVISTA: ISSN: 0191-2216 PROCEEDINGS OF THE IEEE CONFERENCE ON DECISION & CONTROL ARTICLE NUMBER: 5400498 NUMERO DI PAROLE: 5527 DOI 10.1109/CDC.2009.5400498 REFEREE: ESPERTI ANONIMI INDICIZZATO DA Scopus 2-s2.0-77950844314 URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5400498 The annual IEEE Conference on Decision and Control (CDC) is internationally recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC brings together an international community of researchers and practitioners to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, automatic control, and related areas. The combined CDC/CCC features the presentation of contributed and invited papers, as well as tutorial sessions and workshops. The combined CDC and CCC is hosted by the IEEE Control Systems Society (CSS) in collaboration with the Technical Committee on Control Theory (TCCT) of the Chinese Automation Association (CAA). It is organized in cooperation with the Society for Industrial and Applied Mathematics (SIAM), the Institute for Operations Research and the Management Sciences (INFORMS), the Japanese Society for Instrument and Control Engineers (SICE), and the European Union Control Association (EUCA).mixedS. Kirtikar; H. Palanthandalam-Madapusi; E. Zattoni; D. S. BernsteinS. Kirtikar; H. Palanthandalam-Madapusi; E. Zattoni; D. S. Bernstei