Comfort-enhanced vibration control for delayed active suspensions using relaxed inequalities

Abstract

This paper presents a comfort-enhanced vibration control design approach for vehicle active suspensions with control delay. By introducing some novel relaxed inequalities, a less conservative bounded real lemma is derived such that the suspension system is asymptotically stable and has an enhanced vibration attenuation performance in the presence of road disturbance and control delay. In the control design, an augmented Lyapunov-Krasovskii functional is proposed to enlarge the degree of freedom of design. A suitable controller can be obtained via a sufficient condition with linear matrix inequality constraints. Compared with the previous methods based on frequently used inequalities and the traditional Lyapunov-Krasovskii functional, the proposed controller can provide better comfort performance for different control delays. Finally, the advantages of the proposed method are demonstrated using numerical examples.

Robust distributedH∞filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

“…Assume that the system is controlled by the following control law: where K =[2.81 −363.43 −162.48 −9.17] is the state feedback gain matrix and the actuator time‐delay satisfies 0.1 ≤ τ ( t ) ≤ 0.2. The detailed description of designing the state feedback control law for a quarter‐car suspension system with actuator time‐delay can be found in other works . By using the zero‐order hold method with the sampling period T s , the discrete‐time state‐space model of the closed‐loop system can be described in the form of with the following parameters: …”

“…The detailed description of designing the state feedback control law for a quarter-car suspension system with actuator time-delay can be found in other works. [47][48][49][50][51] By using the zero-order hold method with the sampling period…”

Augmented Kalman Estimator and Equivalent Replacement Based Taylor Series-LQG Control for a Magnetorheological Semi-Active Suspension

“…Moreover, the linear matrix inequality (LMI) solver was used to calculate the solution, ensuring that the linear quadratic matrix was negative definite. The different Lyapunov-Krasovskii generic derivatives required linearization using one or more integral inequalities [9,10]. Therefore, the control solution conservativeness from the specific Lyapunov-Krasovskii general function was different, which in turn led to different time delay compensation control effectiveness [11].…”

Improved LQG vibration control for multiple inputs of electric vehicle

“…18,19 Passive suspension has not reached the required performance requirements, so active suspension with stronger control ability is used to alleviate the contradiction between ride comfort and handling stability to adjust the vertical vibration of vehicle, which brings an opportunity to solve this problem. [20][21][22] The active control method introduces the active force element to control the vibration of the target structure. 23 In this paper, the active control force is exerted by shock absorber, which is installed between the body and the suspension, so as to establish the active suspension system.…”