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Cleveland State University

2013

Mathematical optimization

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Full-Text Articles in Engineering

Path Planning And Evolutionary Optimization Of Wheeled Robots, Daljeet Singh Jan 2013

Path Planning And Evolutionary Optimization Of Wheeled Robots, Daljeet Singh

ETD Archive

Probabilistic roadmap methods (PRM) have been a well-known solution for solving motion planning problems where we have a fixed set of start and goal configurations in a workspace. We define a configuration space with static obstacles. We implement PRM to find a feasible path between start and goal for car-like robots. We further extend the concept of path planning by incorporating evolutionary optimization algorithms to tune the PRM parameters. The theory is demonstrated with simulations and experiments. Our results show that there is a significant improvement in the performance metrics of PRM after optimizing the PRM parameters using biogeography-based optimization, …


Moving Horizon Estimation With Dynamic Programming, Mohan Kumar Ramalingam Jan 2013

Moving Horizon Estimation With Dynamic Programming, Mohan Kumar Ramalingam

ETD Archive

Moving Horizon Estimation(MHE) is a optimization based strategy to state estimation. It involves computation of arrival cost, a penalty term, based on the MHE cost function. Minimization of this arrival cost is done through various methods. All these methods use nonlinear programming optimization technique which gives the estimate. The main idea of MHE revolves around minimizing the estimation cost function. The cost function is dependent on prediction error computation from data and arrival cost summarization. The major issue that hampers the MHE is choosing the arrival cost for ensuring stability of the overall estimation and computational time. In order to …