Optimal vibration control for half-car suspension on in-vehicle networks in delta domain. (English) Zbl 1271.93101

Lei, Jing; Hu, Shun-Fang; Jiang, Zuo; Shi, Guo-Xing

Abstr. Appl. Anal. 2013, Article ID 912747, 12 p. (2013).

Summary: 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 non-integral 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.

MSC:

93C57	Sampled-data control/observation systems
70L05	Random vibrations in mechanics of particles and systems
49N90	Applications of optimal control and differential games

Keywords:

optimal vibration control; sampled-data system with time delay; delta operators; Riccati equation; Stein equation of delta domain; feedforward control

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