A method for the reduction of interactions in linear time invariant (LTI) multivariable uncertain systems is proposed. An -norm metric is proposed for the assessment of interactions in interval uncertain multiple-input multiple-output (MIMO) plants. Based on this, a procedure for the design of fixed-order dynamic decoupling precompensators for MIMO plants with interval uncertainty is outlined which can be solved using efficient solvers such as cvx. The proposed methodology is used to develop a low-order robust multivariable controller for voltage and frequency control of an islanded distributed generation (DG) unit.
Fixed-Order Decoupling of Interval Plant Families
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 14, 2015; final manuscript received August 27, 2016; published online October 17, 2016. Assoc. Editor: Ryozo Nagamune.
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Negim, M., and Nobakhti, A. (October 17, 2016). "Fixed-Order Decoupling of Interval Plant Families." ASME. J. Dyn. Sys., Meas., Control. January 2017; 139(1): 014502. https://doi.org/10.1115/1.4034747
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