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  • 1
    Electronic Resource
    Electronic Resource
    Guaranteed stability margins for discrete-time LQ optimal regulators for the performance index with cross-product terms (1997)
    Springer
    Circuits, systems and signal processing 16 (1997), S. 663-701 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper, the stability robustness of deterministic state feedback discretetime linear quadratic (LQ) optimal regulators for the performance index with cross-product terms is analyzed. Guaranteed stability margins for such a type of LQ optimal regulator are suggested for the first time. These stability margins are obtained on the basis of a modified return difference equality and are expressed directly in terms of the elementary cost and system matrices. Sufficient conditions to guarantee the required stability margins are presented. Finally, the connection between the suggested stability margins and the selection of weighting state, input, and cross-product matrices is investigated, and useful guidelines for choosing proper weighting matrices are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01371572
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