Switching control approach for parametric stabilization of nonlinear systems
- 1 May 2012
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1411-1415
- https://doi.org/10.1109/ccdc.2012.6244227
Abstract
The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.Keywords
This publication has 12 references indexed in Scilit:
- Switching adaptive output-feedback control of nonlinearly parametrized systemsAutomatica, 2005
- Switching LPV control designs using multiple parameter-dependent Lyapunov functionsAutomatica, 2004
- Stabilization of nonlinear systems with moving equilibriaIEEE Transactions on Automatic Control, 2003
- Switching in Systems and ControlPublished by Springer Nature ,2003
- Parametric absolute stability of a class of singularly perturbed systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- The effects of generation redispatch on Hopf bifurcations in electric power systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 2002
- Parametric absolute stability of multivariable Lur'e systemsAutomatica, 2000
- Parametric absolute stability of Lur'e systemsIEEE Transactions on Automatic Control, 1998
- Robust ControlPublished by Springer Nature ,1993
- Lotka-Volterra equations: Decomposition, stability, and structureJournal of Mathematical Biology, 1980