Cooperative <inline-formula> <tex-math notation="LaTeX">$H_{\infty}$ </tex-math></inline-formula> Control of Multiple High-Speed Trains With Saturation Constraints

Abstract

This paper studies the distributed cooperative H∞ control problem of multiple high-speed trains with input saturation constraints, external disturbances and nonlinear running resistance. Based on the local information, a new distributed control algorithm is proposed for each train to enable all trains to move in a stable mode while tracking a desired velocity. To attenuate the effects of external disturbances on the cooperative control, the H∞ control technology is used and some sufficient conditions are then obtained to guarantee that the cooperative control under a desired performance is realized. Finally, simulations are provided to show the effectiveness of the results.

Keywords

• Cooperative control
• multiple high-speed trains
• H∞ control%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> distributed <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ control
• input saturation
• nonlinear running resistance