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Technical Notes and Correspondence_______________________________ Further Results on Linear Nonquadratic Optimal Control

By Chih-hua Hsu and Jeff S. Shamma

Abstract

Abstract—This note continues an investigation by the authors of minimizing the transient response of a linear system as measured by nonquadratic penalty functions, in particular, penalty functions which have linear growth. First, this note shows that the optimal state feedback which minimizes the transient response in the case of no exogenous inputs also minimizes the induced norm in case exogenous inputs are present. Second, it considers the case of constrained systems and derives bounds which establish the stability and performance of receding horizon control laws. Finally, this note illustrates the results for scheduling of reliable manufacturing systems. Index Terms—Disturbance rejection, , linear programming, optimal control. I

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.409.5701
Provided by: CiteSeerX

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