Gain-Scheduled Control of Delayed Diesel Engine System with Time-Varying Parameter

In this paper, a gain-scheduled control issue for diesel engine system with time-varying parameter is addressed for achieving delay-dependent stability and passivity. To interpret the time-varying behavior, Linear Parameter Varying (LPV) description is applied. Based on Lyapunov-Krasovskii function, some sufficient conditions are derived to deal with the stability and stabilization problems of delayed LPV system. Moreover, the passive performance is considered to constrain the effect of external disturbance on the system. During the derivative, the conservatism of stability condition is furtherly concerned via the integral Lyapunov-Krasovskii function and free matrix technology. For applying the convex optimization algorithm, the derived sufficient conditions are converted into Linear Matrix Inequality (LMI) form. With solving the conditions, the gain-scheduled controller can guarantee the asymptotical stability and passive performance of the diesel engine system. Finally, the simulation results are provided.