Observer design for stochastic one-sided Lipschitz Lur’e differential inclusion system. (English) Zbl 1479.34093
Summary: This paper presents an observer design for a stochastic one-sided Lipschitz Lur’e differential inclusion system. The feature of the system is that a nonlinear term satisfies one-sided Lipschitz condition and elements of a transition rates matrix are partially unknown. First, a framework of a Luenberger-type observer with stochastic switching parameters is presented. Then, the conditions which guarantee that the error system is exponentially stable in mean square are derived. Finally, the simulation with a rotor system is conducted to prove the effectiveness of the proposed observer design.
MSC:
| 34D20 | Stability of solutions to ordinary differential equations |
| 34H15 | Stabilization of solutions to ordinary differential equations |
Keywords:
one-sided Lipschitz; differential inclusion; transition rates matrix; stochastic system; observer designSoftware:
LMITOOLReferences:
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