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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1002/ardp.19713040207

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1573-2878

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The Effects of Adding Input Redundancies in Linear

Authors: Zhongxing Peng Ying Yang Lin Huang
Publish Date: 2011/04/09
Volume: 150, Issue: 2, Pages: 341-359
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Abstract

This paper investigates the effects of adding input redundancies repeatedly into linear quadratic regulator LQR problems As the number of input redundancies increases three equivalent conditions are stated to guarantee a strict decrease of the minimum cost which is constrained by a pair of lower and upper bounds The contribution of a new added input redundancy to reduce the minimum cost will diminish after more redundancies are added Moreover the minimum cost will converge to zero as the number of input redundancies goes toward infinity which is proven by transferring the LQR problem into a cheap control problem

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