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We compute the reach-avoid set for space vehicle rendezvous and docking under continuous thrust. We model the space vehicle dynamics through the Clohessy-Wiltshire-Hill (CWH) equations, resulting in a switched hybrid system with affine, time-invariant dynamics. We exploit a closed-form solution to the CWH equations to analytically determine evolution of the boundary of the reach-avoid set, then modify...
This paper proposes a distributed framework for optimal control of vehicles in transportation networks. The objective is to reduce the balanced fuel consumption and travel time through hybrid control on speed limit and ramp metering rate. The dual decomposition theory associated with the subgradient method is then applied in order to decompose the optimal control problem into a series of suboptimal...
The optimized theory is used in the electronic control of the power train in order to improve the performance of the car. Except that, the author explains the optimized theory and the method of using it in writing the computer program. And moreover, the author discusses the problems occurring in the object and gives the methods to solve them. The result of the object is expressed by figures and gives...
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