Disturbance-observer-based Control and ℋ∞ Control for Semi-Markovian Jump Nonlinear Systems

In this paper, we try to effectively combine disturbance-observer-based control (DOBC) and ℋ∞ control to solve common problems for semi-Markovian jump systems, such as nonlinearity in complex systems and malignant disturbance caused by different factors. We take this opportunity to target two different kinds of disturbances are solved, and a disturbance observer is proposed to help solve the problem. Finally, we apply the result of the observer to design a relatively novel composite controller. Through the interaction of the observer and the controller, we solved the influence of different disturbances and ensured the good stability of the closed-loop system. Finally, a numerical example is provided to illustrate the validity of the theoretical results developed.