One promising solution to traffic gridlock is a magnetic levitation (maglev) system

Chapter 0, Problem AP12.2

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One promising solution to traffic gridlock is a magnetic levitation (maglev) system. Vehicles are suspended on a guideway above the highway and guided by magnetic forces instead of relying on wheels or aerodynamic forces. Magnets provide the propulsion for the vehicles [7,12,17]. Ideally, maglev can offer the environmental and safety advantages of a high-speed train, the speed and low friction of an airplane, and the convenience of an automobile. All these shared attributes notwithstanding, the maglev system is truly a new mode of travel and will enhance the other modes of travel by relieving congestion and providing connections among them. Maglev travel would be fast, operating at 150 to 300 miles per hour. The tilt control of a maglev vehicle is illustrated in Figures AP12.2(a) and (b). The dynamics of the plant G(s) are subject to variation so that the poles will lie within the boxes shown in Figure AP12.2(c), and 1 < K < 2. The objective is to achieve a robust system with a step response possessing an overshoot less than 10%, as well as a settling time (with a 2% criterion) less