Multi-objective control design for stochastic large-scale systems based on LMI approach and sliding mode control concept

In this paper, a controller ui(t) is designed for stochastic large-scale systems to achieve the following three objectives simultaneously: the pole placement constraint, H∞ norm constraint and individual state variance constraint. In terms of the invariance property of sliding mode control, both the uncertain interconnection terms and an unknown nonlinear function will disappear on the sliding mode. Then, with the aid of upper bound covariance control theory, pole placement skill and H ∞ norm control theory, a controller, in which the control feedback gain matrix Gi is synthesized using linear matrix inequality approach, is derived to achieve the above multiple objectives. Finally, a simulation example is presented to illustrate the proposed method.