2015
DOI: 10.1109/tac.2015.2461832
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Direct Synthesis of Fixed-Order <inline-formula> <tex-math notation="TeX">${\cal H}_{\infty}$</tex-math></inline-formula> Controllers

Abstract: This brief paper considers the xed-order H∞ output feedback control design problem for linear time invariant (LTI) systems. The objective is to design a xed-order controller with guaranteed stability and closed-loop H∞ performance. This problem is NP-hard due to the non-convex rank constraint which appears in the formulation. We propose an algorithm for non-iterative direct synthesis (NODS) of reduced order robust controllers. NODS entails initial computation of two positive-denite matrices via full-order conv… Show more

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Cited by 15 publications
(1 citation statement)
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“…Convex feasibility problems have been applied to an extremely wide range of topics in systems analysis and control, signal and image processing. Important examples are: model order reduction [6], controller design [7], tensor analysis [8], image recovery [9], electrical capacitance tomography [10], MRI [11,12], and stabilisation of quantum systems and application to quantum computation [13,14].…”
Section: Background and Goal Of The Papermentioning
confidence: 99%
“…Convex feasibility problems have been applied to an extremely wide range of topics in systems analysis and control, signal and image processing. Important examples are: model order reduction [6], controller design [7], tensor analysis [8], image recovery [9], electrical capacitance tomography [10], MRI [11,12], and stabilisation of quantum systems and application to quantum computation [13,14].…”
Section: Background and Goal Of The Papermentioning
confidence: 99%