Nonparametric control algorithms for nonlinear fading memory systems

S. Sandilya, S. R. Kulkami

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We develop an algorithm to control an unknown nonlinear fading memory discrete-time system. Our approach is based on nonparametric regression techniques rather than traditional feedback control. We discuss a procedure that, given a desired periodic output and a tolerance, produces an acceptable output from any system in a wide class. The algorithm uses as data past inputs (which are selected by the algorithm) and corresponding (possibly noisy) output observations and needs no extra parametric knowledge or restrictions on the system. We also present an algorithm that produces an output that converges to the desired output when stricter conditions are imposed on the system. Our approach, in its current form, however, cannot be used to control open-loop unstable systems.

Original languageEnglish (US)
Pages (from-to)1117-1121
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - Jul 2001

All Science Journal Classification (ASJC) codes

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


  • Control
  • Discrete time
  • Estimation
  • Fading memory
  • Learning
  • Nonparametric estimation
  • System identification


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