Further results on linear nonquadratic optimal control

Chih Hua Hsu*, Jeff S. Shamma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 ℓ1 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.

Original languageEnglish (US)
Pages (from-to)732-736
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number5
StatePublished - May 2001
Externally publishedYes


  • Disturbance rejection
  • Linear programming
  • Optimal control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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