Mixed FTS/H_∞ control of vehicle active suspensions with shock road disturbance

ABSTRACT

In consideration of the feature of shock road disturbance, the mixed finite-time stability (FTS)/$H_{\mathrm{\infty }}$ control problem for vehicle active suspensions is addressed in this paper. First, the definition of input–output finite-time stability (IO-FTS) with an $H_{\mathrm{\infty }}$ bound is provided, and a sufficient condition guaranteeing the mixed IO-FTS/$H_{\mathrm{\infty }}$ performance for a linear system is proposed. Second, the control issue for a 2-DOF (degree of freedom) quarter-car active suspension with shock road disturbance is suitably formulated as a mixed FTS/$H_{\mathrm{\infty }}$ control problem. Then, sufficient criteria for the design of a state-feedback controller are presented, which can be reduced to the solvability of a linear minimisation problem with some fixed parameters. Finally, simulation results are given to show the applicability and effectiveness of the developed control methodology.

KEYWORDS:

• Vehicle active suspensions
• input–output finite-time stability
• mixed FTS/$H_{\mathrm{\infty }}$ performance
• shock road disturbance

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors would like to appreciate the support provided by National Natural Science Foundation of China (Grant No. 51705206, 61304075), Jiangsu Provincial Natural Science Foundation (Grant No. BK20150525, BK20160518), China Postdoctoral Science Foundation (Grant No. 2016M591784) and Jiangsu Provincial Postdoctoral Research Funding (Grant No. 1501101B).