MAE142_L12_StateSpace.pdf

# MAE142_L12_StateSpace.pdf - State Space Models State Space...

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State Space Models State Space Format Rotating Machinery SAMPEX Example MAE 142 NASA Image

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2 MAE 142 State Space A state space model is formed by a collection of differential equations that predict the dynamic behavior of a system (or vehicle). The state vector includes variables that are needed to determine the system “state”. The state vector includes motion variables (position, velocity, …) … But also may include variables that describe the state of vehicle subsystems Engine → temperature, pressure, thrust, rpm Structural → deformation, stress Aerodynamics → unsteady effects Controls → sensors, noise filters, surface deflections, momentum wheel speeds
3 MAE 142 State Space Format The differential equations are arranged in a form that returns the state vector derivative. An optional measurement or output function may be used to compute other variables of interest. ˙ x t = f [ x t ] y t = h [ x t ] f : n  ℜ n h : n  ℜ m ˙ x = f x y = h x

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4 MAE 142 SAMPEX Spacecraft Model SAMPEX = Solar, Anomalous, and Magnetospheric Partical Explorer SAMPEX launched from Vandenberg AFB in July 1992 Spacecraft Weight = 258 lbs
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• Fall '08
• Aliseda,A
• Angular Momentum, SAMPEX, SAMPEX Spacecraft, zx −I yz, xy −I zx, −I xy −I

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