Observer-based finite-time H∞ sliding mode control of stochastic nonlinear singular systems and its applications.

The finite-time bounded problem for stochastic nonlinear singular systems is discussed in this paper. Firstly, the state observer independent of external disturbances and Brownian motions is designed. Next, the sliding mode function is constructed, which can not only ensure that the system is the finite-time bounded stability, but also its H ∞ performance can be satisfied. The criteria for the finite-time bounded stability and H ∞ finite-time bounded stability of the given system are obtained by Lyapunov function and linear matrix inequalities. Combined with the designed controller, the finite-time stability of the sliding mode function is guaranteed. Finally, the practicability of the control scheme designed is verified by two examples. [ABSTRACT FROM AUTHOR]