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MAE142_Lecture16

# MAE142_Lecture16 - State Space Simulation Euler Integration...

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State Space Simulation Euler Integration Runga-Kutta Simulation Example MAE 142

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2 MAE 142 State Space Simulations Numerical integration techniques are used to simulate the time response of the state space model. Time response data and simulation methods are used for: Flight simulation and pilot/operator training Comparisons to flight test data Evaluate vehicle response characteristics and stability Extract aerodynamic parameters Control system design
3 MAE 142 Euler Integration Euler integration is quick and easy, but generally not the most accurate method. f : n  ℜ n ˙ x t = f [ x t ] ˙ x t ≈ 1 t [ x t  t − x t ] 1 t [ x t  t − x t ] = f [ x t ] x t  t = x t  t f [ x t ]

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4 MAE 142 Time Steps For digital computers, time is most readily represented as a series of discrete points. Numerical integration provides an estimate of the system state at each discrete point.
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MAE142_Lecture16 - State Space Simulation Euler Integration...

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