Robust output feedback stabilization of single input single output nonlinear systems
- 9 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 2503-2508 vol.3
- https://doi.org/10.1109/cdc.1991.261803
Abstract
A robust output feedback control which globally stabilizes a class of SISO minimum-phase nonlinear systems with known and constant relative degree containing a vector of unknown parameters is developed. The constant parameter vector is not restricted to enter linearly in the state equations but it is assumed to belong to a known compact set and an imprecise knowledge of the nonlinearities (e.g., lookup tables) is allowed. The class of nonlinear systems is determined by geometric conditions; an additional assumption, which generalizes the knowledge of the sign of high-frequency gain for linear systems, is also required. The nonlinearities are restricted to depend, in suitable coordinates, on the output only: no growth conditions, such as sector or Lipschitz, are required. The robust output feedback control stabilizes the system for every value of the parameter vector in a known compact set. The order of the compensator is equal to the relative degree minus one.Keywords
This publication has 17 references indexed in Scilit:
- Global adaptive observers and output-feedback stabilization for a class of nonlinear systemsPublished by Springer Nature ,2006
- Adaptive stabilization of nonlinear systemsPublished by Springer Nature ,2006
- An extended direct scheme for robust adaptive nonlinear controlAutomatica, 1991
- Optimal controllers and output feedback stabilizationSystems & Control Letters, 1990
- Nonlinear Dynamical Control SystemsPublished by Springer Nature ,1990
- Adaptive regulation of nonlinear systems with unmodeled dynamicsIEEE Transactions on Automatic Control, 1989
- Nonlinear Control SystemsPublished by Springer Nature ,1989
- Robust stabilizability for linear systems with both parameter variation and unstructured uncertaintyIEEE Transactions on Automatic Control, 1989
- Adaptive control of linearizable systemsIEEE Transactions on Automatic Control, 1989
- An iterative design procedure for simultaneous stabilization of MIMO systemsAutomatica, 1988