Combined Input–Output Finite-time Stability with H_∞ Static Output-feedback Control Approach for Active Suspension

Abstract

Combined input–output finite-time stability condition with static output-feedback H_∞ control is proposed in this work to effectively attenuate the short-duration road disturbance. The control problem is formulated based on the pre-defined condition of input–output finite-time stability with H_∞ bound along with pre-established quarter-car active suspension model. Then, a feasible static output-feedback controller is designed via variable substitution approach and linear matrix inequalities. Output-feedback control’s initial infeasibility issue is solved by state-feedback technique. The controller is specifically designed for the system which exposed with short-duration exogenous disturbances hence, this work prefers finite-time approach instead Lyapunov asymptotic stability condition. To enumerate the significance of the proposed controller numerical examples are presented and its response is effectively analyzed in distinct domains (time and frequency). The theoretical results denote that the combined input–output finite-time stability condition with static output-feedback H_∞ control can enhance the vehicle performance better when compared with passive and conventional static output-feedback control scheme. Additionally, the controller robustness is verified.

Keywords:

• Active suspension
• H_∞ static output-feedback
• Input-output finite-time
• Quarter-car
• Ride comfort
• Short-time road bump

Additional information

Funding

This work was supported by the University Grants Commission of India. F.5-13/2016/DRS-I (SAP-II).

Notes on contributors

Arivazhagan Anandan

Arivazhagan Anandan completed his bachelor's degree in mechanical engineering at Sri Sai Ram Engineering College, Chennai and his masters in automobile engineering at MIT Campus, Anna University, Chennai. He has over 5 years of experience in teaching. He obtained his PhD, from Anna University, Chennai. His areas of interest include vehicle dynamics, control system and biomechanics.

Arunachalam Kandavel

Arunachalam Kandavel did his bachelor's degree in production engineering from PSG College of Technology, Coimbatore and masters in automobile engineering in MIT Campus, Chennai. Subsequently, he obtained his PhD, from from Anna University, Chennai based on his research in Active Suspension System. He has a over 13 years of teaching experience. Presently, he is working as an associate professor in Department of Automobile Engineering, Anna University, MIT Campus, Chennai. His area of interest is vehicle dynamics and automotive electronics. He has published 35 papers in various journals and conferences. Email: [email protected]