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Almost output regulation of LFT systems via gain-scheduling control. (English) Zbl 1390.93321

Summary: Output regulation of general uncertain systems is a meaningful yet challenging problem. In spite of the rich literature in the field, the problem has not yet been addressed adequately due to the lack of an effective design mechanism. In this paper, we propose a new design framework for almost output regulation of uncertain systems described in the general form of Linear Fractional Transformation (LFT) with time-varying parametric uncertainties and unknown external perturbations. A novel semi-LFT gain-scheduling output regulator structure is proposed, such that the associated control synthesis conditions guaranteeing both output regulation and \(\mathcal L^2\) disturbance attenuation performance are formulated as a set of Linear Matrix Inequalities (LMIs) plus parameter-dependent linear matrix equations, which can be solved separately. A numerical example demonstrates the effectiveness of the proposed approach.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93C41 Control/observation systems with incomplete information
93B50 Synthesis problems
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