Generalized Inverses for Finite-Horizon Tracking

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2000

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Control and communication issues aretraditionally "decoupled" in discussions of decision and controlproblems, as this simplifies the analysis and generally works well forclassical models. This fundamental assumption deserves re-examinationas control applications spread into new areas where system complexityis significant. Such areas include the coordinated control of aerialvehicles (UAVs), MEMS devices, multi-joint manipulators and othersettings where many systems must share the attention of adecision-maker. We consider a new class ofsampled-data systems (termed "computer-controlled systems") thatoffer the possibility of jointly optimizing between control andcommunication goals. Computer-controlled LTI systems can be viewed aslinear operators between appropriate inner-product spaces. Thegeneralized inverses of these operators are used to solve a class offinite-horizon tracking problems.

This work was presented at the IEEE Conf. on Decision and Control, Dec. 1999.

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