Inverse Simulation: Reconstructing Dynamic Geometry of Clothed Humans via Optimal Control

Abstract Modern day gas turbines are prime movers in land, air and sea. They have stringent performance requirements to meet the complex mission objectives. Optimal control strategies can help them meet their performance objectives more efficiently. A novel inverse simulation method for optimal control and system analysis studies using Differential Algebraic Equality/Inequality (DAE/DAI) technique is brought out in this paper with a case study. The gas turbine model together with safety constraints and performance specifications is represented as a high index DAI/DAE system. The solution for this DAE/DAI system is obtained using a new numerical approach that is capable of handling both equality and inequality constraints on system dynamics. The algorithm involves direct numerical integration of a DAI formulation in a time stepping manner using Sequential Quadratic Programming (SQP) solver that detects and satisfy active constraints at each time step (mesh point). In this unique approach the model and the constraints are always solved together. The method ensures stable solution at each time step, local minimum at each iteration of simulation and provides a regularised basis to the solver. Compared to other existing computationally intensive techniques in usage, this approach is easy, ensures continuous constraint satisfaction and provides a viable option for Model Predictive Control (MPC) of gas turbine engines.

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Automated Solution of Realistic Near-Optimal Aircraft Trajectories Using Computational Optimal Control and Inverse Simulation

AIAA Guidance, Navigation and Control Conference and Exhibit ◽

10.2514/6.2007-6868 ◽

2007 ◽

Cited By ~ 1

Author(s):

Janne Karelahti ◽

Kai Virtanen ◽

John Öström

Keyword(s):

Optimal Control ◽

Inverse Simulation ◽

Aircraft Trajectories

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Hurdle-Hop Simulation of Tilt-Rotor Aircraft Based on Optimal Control Theory

Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University ◽

10.1051/jnwpu/20203861266 ◽

2020 ◽

Vol 38 (6) ◽

pp. 1266-1274

Author(s):

Jinhe Chen ◽

Zhengzhong Wang ◽

Hongyuan Tian

Keyword(s):

Optimal Control ◽

Control Theory ◽

Optimal Control Theory ◽

Ground Effect ◽

Simulation Method ◽

Programming Algorithm ◽

Multiple Shooting ◽

Inverse Simulation ◽

Tilt Rotor ◽

Multiple Shooting Method

Aiming at simulating the hurdle-hop of tilt-rotor aircraft in forward flight near the ground, two models of numerical simulation and analysis based on optimal control theory were proposed. Firstly, Longitudinal flight dynamic model for tilt-rotor was modified considering the influence of ground effect. Secondly, the first model is combined with predicted trajectory from inverse simulation method, the inverse model of hurdle-hop of tilt-rotor is established based on optimal trajectory, and the second model is the optimal control model of unpredicted trajectory, which is formulated from the reasonable function of objective, path and boundary constraints for hurdle-hop with detailed analysis, solved two models by direct multiple shooting method and nonlinear programming algorithm. Finally, XV-15 as the sample vehicle. Two models for hurdle-hop based on optimal control theory was calculated, the history of optimal flight trajectory and control are given.

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