In this paper, a delay-tolerable and anti-windup control synthesis technique is proposed. Longitudinal speed tracking performed by an integrated electric drive (IED) system under the multi-domain constraints of network bandwidth and actuator saturation is investigated. An in-vehicle controller area network (CAN) connect to the Internet providing an interface for cyber attacks which exacerbate network congestion. In addition, the physical saturation characteristics of the electric drive motor sacrifice vehicle speed tracking performance. Based on above problems, a nominal controller satisfying energy-to-peak performance considering the attack-induced delays is designed. Then, an augmented closed-loop system is established including the nominal delay-tolerable controller and an anti-windup controller considering input saturation and random attack-induced delays. The nonlinear uncertainty caused by attack-induced delay is described by polytopic inclusion. Furthermore, the saturation non-linearity is convert to sector-bounded uncertainty solved by linear matrix inequalities (LMIs) optimization. Particle swarm optimization (PSO) algorithm is employed to find the optimal anti-windup controller matrices. Finally, the effectiveness and superiority of the proposed method based on Matlab Simulink and hardware-in-the-loop (HiL) test platform are verified. The variation of speed tracking performance and oscillation damping capability under different attack energies is described.