Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input

Abstract

This paper investigates the robust event-triggered control scheme for discrete-time Markov jump systems with nonlinear input. An event-based strategy is addressed to reduce the data communication and improve the control efficiency. A Lyaounov function method is utilized to analysis the mean square stability and sufficient conditions are obtained in the form of linear matrix inequalities. Convex combination approach is utilized to handle nonlinear input while parameter uncertainty and external disturbances are both included and the robustness ${H}_{\infty}$ performance is analyzed. Finally, a numerical example is shown to compare the different schemes and a mass spring damping system is given to illustrate the effectiveness of the provided method.

Keywords

• Event-triggered control scheme
• H∞ performance index%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ performance index
• nonlinear input