H_∞ scheduling control on stochastic neutral systems subject to actuator nonlinearity

Abstract

In this article, we propose a method for designing continuous gain-scheduled robust H _∞ 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, H _∞ controller is designed for each constant stochastic neutral system which guarantees exponential stochastic stabilisation 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. Simulation example is given to illustrate the effectiveness of developed techniques.

Keywords:

• stochastic neutral system
• continuous gain scheduling
• H _∞ control
• actuator saturation

Acknowledgements

This work was partially supported by the National Key Basic Research Program (973), China (No. 2012CB215202), the 111 Project (B12018), the National Natural Science Foundation of China (Nos 61174058, 61134007, 60974052, 61134001), the Engineering and Physical Sciences Research Council, UK (EP/F029195), the Fundamental Research Funds for the Central Universities (JUDCF10032).