State-feedback H control of nonlinear singularly perturbed systems

E. Fridman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study the H control problem for an affine singularly perturbed system, which is nonlinear in the state variables. Under suitable assumptions on the linearized problem, we construct ε-independent composite and linear controllers that solve the local H control problem for the full-order system for all small enough ε. These controllers solve also the corresponding problem for the descriptor system. The 'central' nonlinear controller can be approximated in the form of expansions in the powers of ε. An illustrative example shows that the higher-order approximate controller achieves the better performance, while the composite (zero-order approximate) controller leads to the better performance than the linear one.

Original languageEnglish
Pages (from-to)1115-1125
Number of pages11
JournalInternational Journal of Robust and Nonlinear Control
Volume11
Issue number12
DOIs
StatePublished - Oct 2001

Keywords

  • Descriptor systems
  • H control
  • Nonlinear systems
  • Singular perturbation

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