Technical communique: Indefinite linear quadratic optimal control problem for singular discrete-time system with multiple input delays

Authors:
Peng Cui;Chenghui Zhang;Huanshui Zhang;Hongguo Zhao
Affiliations:
School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, PR China;School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, PR China;School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, PR China;Department of Information Science and Technology, Taishan University, Taian, 271021, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
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Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs. II

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Linear quadratic regulation for linear time-varying systems with multiple input delays

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Near-optimal controls of random-switching LQ problems with indefinite control weight costs

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Controllability of Boolean control networks with time delays both in states and inputs

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Abstract

An indefinite linear quadratic (ILQ) optimal control problem is discussed for singular discrete-time-varying linear systems with multiple input delays. The problem is transformed to the one for standard systems by normalizability decomposition. An explicit controller is obtained by computing the gain of the smoothing estimation of dual systems. Necessary and sufficient conditions guaranteeing the existence of unique solution are given simultaneously. A numerical example illustrates the presented method.