\(H_\infty\) scheduling control on stochastic neutral systems subject to actuator nonlinearity. (English) Zbl 1278.93242
Summary: In this article, we propose a method for designing continuous gain-scheduled robust \(H_\infty\) controller for a class of stochastic time-varying neutral systems subject to time-varying delay and actuator saturation. Initially, at different selected time points, one can obtain a series of time-constant neutral system models with Markov jumping parameter. Subsequently, a \(H_\infty\) controller is designed for each constant stochastic neutral system which guarantees exponential stochastic stabilization of the system. Lastly, continuous gain-scheduled controller design method is employed, and an entire time-varying controller is designed for the whole working region. A simulation example is given to illustrate the effectiveness of developed techniques.
MSC:
| 93E03 | Stochastic systems in control theory (general) |
| 93B36 | \(H^\infty\)-control |
| 93E15 | Stochastic stability in control theory |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 93C10 | Nonlinear systems in control theory |
| 34K40 | Neutral functional-differential equations |
Keywords:
stochastic neutral system; continuous gain scheduling; \(H_\infty\) control; actuator saturationReferences:
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