6533b825fe1ef96bd128293b
RESEARCH PRODUCT
Observer-based H∞ control on stochastic nonlinear systems with time-delay and actuator nonlinearity
Fei LiuYanyan YinHamid Reza KarimiPeng ShiPeng Shisubject
Lyapunov functionDiscrete systemObserver (quantum physics)Computer Networks and CommunicationsApplied MathematicsLinear systemtime-delay systemH infinite controlsymbols.namesakeNonlinear systemControl and Systems EngineeringLinearizationControl theorySignal ProcessingsymbolsJumpsaturating controlActuatordisturbance-observer-based controlMathematicsdescription
Abstract In this paper, an observer-based H ∞ controller is designed for a class of extended Markov jump systems subject to time-delay and actuator saturation nonlinearity. Gradient linearization procedure is employed to describe such nonlinear systems by several linear Markov jump systems. Next, a mode-dependent Lyapunov function is constructed for these linear systems, and a sufficient condition is derived to make them stochastically stable, and then, a continuous gain-scheduled approach is applied to design a continuous nonlinear observer-based controller on the entire extended nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-01 |