Conservatism with robustness tests for linear feedback control systems

作者: M. Barrett

DOI: 10.1109/CDC.1980.271928

关键词: ConservatismRobust controlEigenvalues and eigenvectorsMathematicsMultivariable calculusMatrix normTransfer functionControl theoryNonlinear controlMathematical optimizationRobustness (computer science)

摘要: This paper examines a variety of techniques for assessing stability robustness linear multivariable feed-back control systems to model uncertainty in the open-loop plant, which is represented as an additive or multiplicative dynamic perturbation nominal plant transfer function matrix. It addresses issue conservation with certain tests based on matrix norms and measures by exploiting known relationships between those quantities eigenvalues Techniques selecting transformations reduce conservatism several classes are identified. Relative various illustrated two-input/two-output example.

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