## Abstract and Applied Analysis

### Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain

#### Abstract

The paper explores the optimal vibration control design problem for a half-car suspension working on in-vehicle networks in delta domain. First, the original suspension system with ECU-actuator delay and sensor-ECU delay is modeled. By using delta operators, the original system is transformed into an associated sampled-data system with time delays in delta domain. After model transformation, the sampled-data system equation is reduced to one without actuator delays and convenient to calculate the states with nonintegral time delay. Therefore, the sampled-data optimal vibration control law can be easily obtained deriving from a Riccati equation and a Stein equation of delta domain. The feedforward control term and the control memory terms designed in the control law ensure the compensation for the effects produced by disturbance and actuator delay, respectively. Moreover, an observer is constructed to implement the physical realizability of the feedforward term and solve the immeasurability problem of some state variables. A half-car suspension model with delays is applied to simulate the responses through the designed controller. Simulation results illustrate the effectiveness of the proposed controller and the simplicity of the designing approach.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 912747, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511827

Digital Object Identifier
doi:10.1155/2013/912747

Mathematical Reviews number (MathSciNet)
MR3039176

Zentralblatt MATH identifier
1271.93101

#### Citation

Lei, Jing; Hu, Shun-Fang; Jiang, Zuo; Shi, Guo-Xing. Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain. Abstr. Appl. Anal. 2013 (2013), Article ID 912747, 12 pages. doi:10.1155/2013/912747. https://projecteuclid.org/euclid.aaa/1393511827

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