Internal stabilization and external $L_p$ stabilization of linear systems subject to constraints

Ali Saberi, Antonie Arij Stoorvogel, Guoyong Shi, Peddapullaiah Sannuti

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    Abstract

    Having studied during the last decade several aspects of several control design problems for linear systems subject to magnitude and rate constraints on control variables, during the last two years the research has broadened to include magnitude constraints on control variables as well as state variables. Recent work by Han et al. (2000), Hou et al. (1998) and Saberi et al. (2002) considered linear systems in a general framework for constraints including both input magnitude constraints as well as state magnitude constraints. In particular, Saberi et al. consider internal stabilization while Han et al. consider output regulation in different frameworks, namely a global, semiglobal, and regional framework. These problems require very strong solvability conditions. Therefore, a main focus for future research should focus on finding a controller with a large domain of attraction and some good rejection properties for disturbances restricted to some bounded set
    Original languageUndefined
    Pages4242-4247
    Number of pages6
    DOIs
    Publication statusPublished - 2001
    Event40th IEEE Conference on Decision and Control, CDC 2001 - Hyatt Regency Grand Cypress, Orlando, United States
    Duration: 4 Dec 20017 Dec 2001

    Conference

    Conference40th IEEE Conference on Decision and Control, CDC 2001
    Abbreviated titleCDC
    CountryUnited States
    CityOrlando
    Period4/12/017/12/01

    Keywords

    • EWI-16644
    • IR-68913

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