Robust finite-time H∞ control of switched non-linear neutral systems in the presence of multiple disturbances using auxiliary matrices

Abstract This paper focuses on finite-time boundedness (FTB) of a class of switched non-linear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwell-time concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finite-time ${H}_{\infty }$ controllers are designed via state feedback and static output feedback structures. The proposed controllers are less conservative than the existing Lyapunov-based approach and there are many degrees of freedom to achieve feasible linear matrix inequalities. Finally, two examples are simulated to validate the proposed approach and to show that the obtained theoretical results are less conservative than the existing papers.