Abstract
This paper presents a new tracking controller for a crowd dynamics system. The crowd dynamics are described by a continuum model in the macro-scale. An appropriate control variable is chosen to solve the problem of the multi-directionality of crowd movement. In order to stabilize the state density of the disturbed crowd dynamics system at a given reference density, a unit sliding mode controller based on the integral barrier Lyapunov function is designed, and the reaching law approach is used to avoid chattering. By ensuring the boundedness of the integral barrier Lyapunov function in the closed-loop, the global constraints of the system state variables are obtained. The design of the controller and the stability analysis of the closed-loop system are all done in the distributed parameter system. A numerical example illustrates the utility of the proposed controller.
Highlights
Pedestrian traffic is an important part of the urban traffic
Various mathematical models represented by ordinary differential equations (ODEs) are used to describe the pedestrian dynamics in the micro-scale, such as social-force models [2], [3], cellular automata model [4], agent-based models [5], [6], where pedestrians are treated as physical particles
In this paper, inspired by [19] and [31], a unit sliding mode controller will be designed for the disturbed crowd dynamics system based on the integral barrier Lyapunov function (IBLF)
Summary
Pedestrian traffic is an important part of the urban traffic. It is of great significance to formulate measures to ensure people’s safety, but the research on pedestrian traffic is far less than other modes of transportation [1]. W. Qin: Unit Sliding Mode Control for Disturbed Crowd Dynamics System Based on Integral BLF the pedestrian dynamics, and chose the free flow speed as the control variable to solve the problem of the multidirectionality of the pedestrian movement. Qin et al [19] used the unit sliding mode control method [20]–[22] to design tracking controllers for a disturbed crowd dynamics system, so that the crowd density can follow the given reference density to achieve different control purposes, such as maximum evacuation flow, maximum pedestrian movement speed, etc. In this paper, inspired by [19] and [31], a unit sliding mode controller will be designed for the disturbed crowd dynamics system based on the integral barrier Lyapunov function (IBLF).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
