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Optimal loop-shaping for systems with large parameter uncertainty via linear programming. (English) Zbl 0836.93041

Linear programming is used to solve the problem of optimizing the open loop transfer function, \(L(j \omega)\) in Horowitz’ quantitative feedback design theory. The solution seeks to obtain the lowest high frequency gain of \(L(j \omega)\) for a specified excess of poles over zeros while satisfying robust performance, robust stability/sensitivity and realization constraints. (The problem is solved at a user selected set of discrete frequencies.) An illustrative example is provided.
Reviewer: E.Bose (Durban)

MSC:

93C80 Frequency-response methods in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
90C05 Linear programming
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References:

[1] DOYLE J. C, Feedback Control Theory (1992)
[2] FREUDENBERG J. S., Frequency Domain Properties of Scalar and Multivariable Systems 104 (1985) · Zbl 0637.93035
[3] HOROWITZ I. M., Synthesis of Linear Systems (1993)
[4] DOI: 10.1080/00207177208932261 · Zbl 0241.93015 · doi:10.1080/00207177208932261
[5] MACIEJOWSKI J. M., Multivariable Feedback Design (1989) · Zbl 0691.93001
[6] DOI: 10.1080/00207178608933474 · Zbl 0586.93039 · doi:10.1080/00207178608933474
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