Immersion and Invariance Based Robust Adaptive Control of High‐Speed Train with Guaranteed Prescribed Performance Bounds. Issue 6 (16th March 2015)

• Record Type: Journal Article
• Authors: Luo, Hengyu; Xu, Hongze; Liu, Xiangbin
• Is Part Of: Asian journal of control. Volume 17:Issue 6(2015:Nov.)
• Page Start: 2263
• Page End: 2276
• Publication Date: 2015-03-16
• Subjects: Robust adaptive control -- immersion and invariance -- prescribed performance -- time‐varying -- automatic train operation; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1136
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper proposes a novel robust adaptive algorithm for train tracking control with guaranteed prescribed transient and steady‐state performance. As speed increases, the inherent time‐varying uncertainties and unmodeled dynamics in the longitudinal dynamics of a high‐speed train seriously impacts the tracking performance of automatic train operation. To improve train operation performance, an estimator based on immersion and invariance technology is developed to recover the unknown and time‐varying plant parameters, and it renders the estimation error converging to a bounded residual set exponentially while providing more freedom for the controller. After certain error transformation, the prescribed tracking performance is introduced into the controller design. Then, an input‐to‐stable stable controller is developed through the backstepping technique, and it is proven that stabilization of the transformed system is sufficient to guarantee the prescribed performance. Rigorous theoretical analysis for the presented algorithm is provided, and a series of simulation studies also are given to verify the effectiveness of it.