Latest Research on Optimal Control Approach: Nov – 2019

An optimal control approach to a posteriori error estimation in finite element methods

This article surveys a general approach to error management and reconciling mesh style in Galerkin finite component strategies that’s supported duality principles as utilized in best management. Most of the prevailing work on a posteriori error analysis deals with error estimation in world norms just like the ‘energy norm’ or the L2 norm, involving sometimes unknown ‘stability constants’. However, in most applications, the error in a very world norm doesn’t give helpful bounds for the errors within the quantities of real physical interest. Further, their sensitivity to native error sources isn’t properly depicted by world stability constants. These deficiencies ar overcome by using duality techniques, as is common in a very priori error analysis of finite component strategies, and commutation the world stability constants by computationally obtained native sensitivity factors. Combining this with Galerkin orthogonality, a posteriori estimates is derived directly for the error within the target amount. In these estimates native residuals of the computed answer live} increased by weights that measure the dependence of the error on the native residuals. [1]

A Stochastic Optimal Control Approach for Power Management in Plug-In Hybrid Electric Vehicles

This paper examines the matter of optimally cacophonic driver power demand among the various actuators (i.e., the engine and electrical machines) during a plug-in hybrid electric vehicle (PHEV). Existing studies focus totally on optimizing PHEV power management for fuel economy, subject to charge sustenance constraints, over individual drive cycles. This paper adds 3 original contributions to the present literature. First, it uses random dynamic programming to optimize PHEV power management over a distribution of drive cycles, instead of one cycle. Second, it expressly trades off fuel and electricity usage during a PHEV, thereby consistently exploring the potential advantages of controlled charge depletion over aggressive charge depletion followed by charge sustenance. Finally, it examines the impact of variations in relative fuel-to-electricity rating on best PHEV power management. The paper focuses on a single-mode power-split PHEV configuration for mid-size sedans, however its approach is extendable to alternative configurations and sizes yet. [2]

From human to humanoid locomotion—an inverse optimal control approach

The purpose of this paper is to gift inverse best management as a promising approach to transfer biological motions to robots. Inverse best management helps (a) to grasp and determine the underlying optimality criteria of biological motions supported measurements, and (b) to ascertain best management models which will be wont to management golem motion. The aim of inverse best management issues is to determine—for a given dynamic method associated an ascertained solution—the improvement criterion that has made the answer. Inverse best management issues area unit tough from a mathematical purpose of read, since they need to unravel a parameter identification drawback within associate best management drawback. we tend to propose a realistic new bilevel approach to unravel inverse best management issues that rests on 2 pillars: associate economical direct multiple shooting technique to handle best management issues, and a state-of-the art by-product free trust region improvement technique to ensure a match between best management drawback resolution and measurements. [3]

An Inverse Optimal Control Approach to Explain Human Arm Reaching Control Based on Multiple Internal Models

Human control is very economical in generating correct and applicable motor behavior for a mess of tasks. This paper examines however kinematic and dynamic properties of the system are controlled to realize such potency. despite the fact that recent studies have shown that the human control depends on multiple models, however the central systema nervosum (CNS) controls this mix isn’t totally self-addressed. during this study, we tend to utilize Associate in Nursing Inverse best management (IOC) framework so as to seek out the mix of these internal models and the way this mix changes for various reaching tasks. we tend to conducted Associate in Nursing experiment wherever participants dead a comprehensive set of free-space reaching motions. The results show that there’s a trade-off between mechanics and dynamics primarily based controllers betting on the reaching task. [4]

A Multi-Regions SIRS Discrete Epidemic Model With a Travel-Blocking Vicinity Optimal Control Approach on Cells

In Susceptible-Infected-Removed-Susceptible (SIRS) compartmentalized models, we are able to suppose that a removed population has lost its immunity once being cured from AN infection, and then, it moves to the prone compartment. during this paper, we tend to devise a multi-regions SIRS separate epidemic model that describes infection dynamics in regions that area unit connected with their neighbors by any reasonably social science movement. we tend to introduce managements variables into our model to point out the effectiveness of movements restrictions of the infected people returning from the neighborhood of {a region|a neighborhood|an area|a district|a locality|a neighborhood|a part|a section} we tend to target by a bearing strategy we tend to decision here by the travel-blocking vicinity best control strategy. A gridded surface of coloured cells is bestowed as an instance the total domain full of the epidemic whereas every cell represents a sub-domain or region. The infection is meant ranging from just one cell set in one among the borders of the surface, whereas the region attending to management is meant to be set within the center as AN example to point out the effectiveness of the travel-blocking neighborhood best management approach once it’s applied to a cell with eight neighboring cells. [5]

Reference

[1] Becker, R. and Rannacher, R., 2001. An optimal control approach to a posteriori error estimation in finite element methods. Acta numerica, 10, (Web Link)

[2] Moura, S.J., Fathy, H.K., Callaway, D.S. and Stein, J.L., 2010. A stochastic optimal control approach for power management in plug-in hybrid electric vehicles. IEEE Transactions on control systems technology, 19(3), (Web Link)

[3] Mombaur, K., Truong, A. and Laumond, J.P., 2010. From human to humanoid locomotion—an inverse optimal control approach. Autonomous robots, 28(3), (Web Link)

[4] An Inverse Optimal Control Approach to Explain Human Arm Reaching Control Based on Multiple Internal Models
Ozgur S. Oguz, Zhehua Zhou, Stefan Glasauer & Dirk Wollherr
Scientific Reports volume 8, Article number: 5583 (2018) (Web Link)

[5] Abouelkheir, I., Kihal, F., Rachik, M., Zakary, O. and Elmouki, I. (2017) “A Multi-Regions SIRS Discrete Epidemic Model With a Travel-Blocking Vicinity Optimal Control Approach on Cells”, Journal of Advances in Mathematics and Computer Science, 20(4), (Web Link)

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