Multi-objective control for suspension systems with low frequency time-varying delay via output feedback-based robust H&infin; controller

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (23) : 153-160.

Multi-objective control for suspension systems with low frequency time-varying delay via output feedback-based robust H∞ controller

CHEN Changzheng1, 2 WANG Gang1 YU Shenbo1

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Abstract

In the actual active suspension systems, the controller has time-varying delay, and low frequency time-varying delay has a great influence on the stability and performance of the system. For this problem, the system with time-varying structured uncertainties and time-varying delay are considered, and we choose the body acceleration as performance output, the H∞ norm from the disturbance to the controlled output is decreased in entire frequency band to improve the ride comfort. In addition, a norm-bounded parameter uncertainties model is introduced, the time-domain hard constraints for actuator saturation ,suspension stroke, road holding are guaranteed in the robust H∞ dynamic output feedback controller design. Based on the Lyapunov-Krasovskii functional approach, a convex combination of the matrices is derived by introducing some relaxation matrices that can be used to reduce the conservatism of the criteria, H∞ control criteria are obtained in terms of Linear Matrix Inequalities(LMIs). Finally, numerical examples are given to demonstrate the effectiveness of the proposed method for suspension system with time-varying parameter and low frequency delay.

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low frequency time-varying delay / active suspensions / H&infin / control / dynamic output feedback / linear matrix inequality

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CHEN Changzheng1, 2 WANG Gang1 YU Shenbo1. Multi-objective control for suspension systems with low frequency time-varying delay via output feedback-based robust H∞ controller[J]. Journal of Vibration and Shock, 2015, 34(23): 153-160

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