A linear matrix inequality approach to H(infinity) control of vehicle engine-body vibration systems with a time-varying actuator delay

作者：Karimi H R^*; Zapateiro M; Luo N

来源：Proceedings of the Institution of Mechanical Engineers Part I-Journal of Systems and Control Engineering, 2008, 222(I8): 883-899.

DOI：10.1243/09596518JSCE620

• engine-body vibration system
• time delay
• H(infinity) control
• LMI

This paper addressed the problem of delay-dependent H(infinity) control design for the control of bounce and pitch vibrations in a vehicle engine-body vibration structure with a time-varying actuator delay. Based on a Lyapunov-Krasovskii functional and using some free weighting matrices, delay-dependent sufficient conditions for designing desired state- and output-feedback controllers are given in terms of linear matrix inequalities (LMIs). The state-and output-feedback controllers, which guarantee asymptotic stability with a prescribed gamma-level L(2)-gain (or H(infinity) performance), are then developed directly instead of coupling the second-order model to a first-order system. The controller gains are determined by convex optimization over LMIs. Simulation results are included to demonstrate the validity and applicability of the technique.

• 出版日期2008-12