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Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching
- Source :
- Automatica. 45:997-1004
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- A more general class of stochastic nonlinear systems with irreducible homogenous Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solutions are first presented by using the inequality of mathematic expectation of a Lyapunov function. The state-feedback controller is designed by regarding Markovian switching as constant such that the closed-loop system has a unique solution, and the equilibrium is asymptotically stable in probability in the large. The output-feedback controller is designed based on a quadratic-plus-quartic-form Lyapunov function such that the closed-loop system has a unique solution with the equilibrium being asymptotically stable in probability in the large in the unbiased case and has a unique bounded-in-probability solution in the biased case. Refereed/Peer-reviewed
- Subjects :
- backstepping
Lyapunov function
nonlinear stochastic systems
Stability criterion
Markovian switching
Nonlinear control
symbols.namesake
Nonlinear system
Exponential stability
Control and Systems Engineering
Control theory
Backstepping
Stability theory
symbols
Electrical and Electronic Engineering
Mathematics
Subjects
Details
- ISSN :
- 00051098
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Automatica
- Accession number :
- edsair.doi.dedup.....3b61f8421c82b24003b63f2b2975d68e