Lower bounds on the quadratic cost of optimal regulators

G. Langholz*, A. Hoffmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Lower bounds for linear optimal regulators with quadratic cost functional are derived, explicitly containing information pertaining to some parameters of the system, e.g. the weighting matrices of the quadratic cost. If the optimal solution is not available, but rather a sub-optimal design is known, these bounds provide a means for estimating how close a sub-optimal design is to the optimal one, without having to actually calculate the latter. Being explicit in terms of the system parameters, these bounds enable the ranking of the various sub-optimal designs in terms of these parameters.

Original languageEnglish
Pages (from-to)171-175
Number of pages5
Issue number2
StatePublished - Mar 1978


  • Control theory
  • control system analysis
  • control system synthesis
  • optimal control
  • suboptimal control


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