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  • 1
    Publication Date: 2019-07-13
    Description: A novel algorithm for computing the multivariable stability margin for checking the robust stability of feedback systems with real parametric uncertainty is proposed. This method eliminates the need for the frequency search involved in another given algorithm by reducing it to checking a finite number of conditions. These conditions have a special structure, which allows a significant improvement on the speed of computations.
    Keywords: CYBERNETICS
    Type: 1988 American Control Conference; Jun 15, 1988 - Jun 17, 1988; Atlanta, GA; United States
    Format: text
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  • 2
    Publication Date: 2019-07-13
    Description: The problem of robust stability in feedback control systems with real uncertain parameters and unmodeled dynamics, where the latter takes the form of one complex block dynamic uncertainty, is considered. A robustness margin Tm is defined with respect to such model uncertainty structure and robust stability is characterized in terms of it. An algorithm to calculate Tm and the closely related multivariable stability margin km and structured singular value mu measures of robust stability is developed. It is shown that other control problems, such as robust performance for real parametric uncertainty, can also be handled in this framework.
    Keywords: CYBERNETICS
    Type: 1988 American Control Conference; Jun 15, 1988 - Jun 17, 1988; Atlanta, GA; United States
    Format: text
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  • 3
    Publication Date: 2019-07-13
    Description: A computer program implementing an algorithm for computing the multivariable stability margin to check the robust stability of feedback systems with real parametric uncertainty is proposed. The authors present in some detail important aspects of the program. An example is presented using lateral directional control system.
    Keywords: CYBERNETICS
    Type: 1988 American Control Conference; Jun 15, 1988 - Jun 17, 1988; Atlanta, GA; United States
    Format: text
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  • 4
    Publication Date: 2019-07-13
    Description: The problem of robust stability and performance in feedback control systems with n real (possibly related) uncertain parameters and structured unmodeled dynamics (the latter taking the form of m complex blocks dynamic uncertainties) is considered. A robustness margin rm is defined with respect to such model uncertainty structure and an algorithm is developed to compute it. Robust stability and performance are characterized in terms of r sub m or the structured singular value mu. An iterative procedure using the above algorithm is given to compute tight bounds on k sub m and mu. These bounds are exact for the case m = 3 or less.
    Keywords: CYBERNETICS
    Type: IEEE Conference on Decision and Control; Dec 07, 1988 - Dec 09, 1988; Austin, TX; United States
    Format: text
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