Mesh Exponential Stability of Look-Ahead Interconnected System

Abstract:

Mesh stability is the property of damping or eliminating disturbances as they travel in an interconnected system. In this paper, the mesh stability of a class of look-ahead vehicle following system is studied under the assumption that the all isolated subsystems are exponentially stable. Via idea of vector Lyapunov function theory and by using of Cauchy inequality technique, the sufficient condition to ensure the global mesh exponential stability is obtained. The obtained condition which shows the relationship and domain of the parameters is convenient to apply to design controller in practice.

• Periodical: Applied Mechanics and Materials (Volumes 29-32)
• Pages: 847-850
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.29-32.847
• Online since: August 2010
• Authors: Zheng Li Cao, Tian Li, Ji Ye Zhang
• Keywords: Infinite Dimension, Intelligent Vehicle Highway System, Look-Ahead, Mesh Stability

References

[1] Seiler, A. Pant, J.K. Hedrick. Trans Automat Contr. Vol. 49(10), (2004), pp.1835-1843.

[2] D. Swaroop, J.K. Hedrick. Trans. Automat. Contr. Vol. 41(3) (1996), pp.349-357.

[3] J.Y. Zhang. JSME International Journal. Vol. 47(2) (2004), pp.653-658.

[4] H. Raza, P. Loanou. Control Systems Magazine. Vol. 16(2), (1996), pp.43-46.

[5] K Sant, R. Rajamani. Transactions On Intelligent Transportation Systems, Vol. 4 (4), (2003), pp.194-204.

[6] A. Pant. Mesh stability of formations of Unmanned Aerial Vehicles. (Dissertation. USA, 2002).

[7] A. Pant. Trans. Automat. Contr. Vol. 47(2), (2002), pp.403-408.

[8] Z.Z. Shu, J.Y. Zhang, D.Q. Cao. Stability of Motions. China Railway Pubishing House, (2001).