Static output feedback control for active suspension system with input delay and parameter uncertainty

Abstract

This article focuses on static output feedback H ∞ control for active suspension system with input delay and parameter uncertainty. The parameter uncertainty of active suspension system model, input delay of actuator, input disturbance of road, and measurement output disturbance are simultaneously introduced in active suspension system. A kind of static output feedback H ∞ controller is designed, which can consider the above factors, simultaneously. First of all, the mathematical model of quarter-vehicle active suspension system and the system state equation are established. Second, the static output feedback H ∞ controller is designed by employing the Lyapunov–Krasovskii functional for system state equations without or with disturbance. The design problem of static output feedback H ∞ controller for closed-loop system is transformed into the solving problem of linear matrix inequality. Finally, according to the designed controller and the specific vehicle parameters, the simulation model of quarter-vehicle active suspension system is established. And the simulations of three cases, for example, without disturbance, only with input disturbance, and with input disturbance and output disturbance, are exploited to demonstrate the feasibility and effectiveness of the proposed schemes.