Simulink Control Design™ - MathWorks
The simulation shows good emulation of the airframe response by the LPV system. We chose a very fine gridding of scheduling spac ...
The former information helps reduce the range for the scheduling variables. The latter helps pick an optimal resolution (spacing ...
The trajectory traced during simulation is shown in red. Note that it traverses both the stable and unstable regions of the sche ...
I2 = I2(1:3:end); Gr = G(:,:,I1,I2); size(Gr) 5x2 array of state-space models. Each model has 5 outputs, 1 inputs, and 4 states. ...
Approximating Nonlinear Behavior Using an Array of LTI Systems ...
3 Batch Linearization ...
Approximating Nonlinear Behavior Using an Array of LTI Systems ...
3 Batch Linearization ...
There is no significant reduction in overlap between the response of the original model and its LPV proxy. The LPV model can ser ...
consistency across the array). The LPV model can provide a good surrogate for initializing simulink design optimization problems ...
LPV Approximation of a Boost Converter Model This example shows how you can obtain a Linear Parameter Varying (LPV) approximatio ...
Figure 2: Simscape Electrical based Boost Converter model The circuit in the model is characterized by high frequency switching. ...
Batch Trimming and Linearization In many applications, the average voltage delivered in response to a certain duty cycle profile ...
Compute equilibrium operating points using findop. The code takes several minutes to finish. op = findop(mdl, 0.01, params); Get ...
Figure 3: Bode plot of linear system array obtained over the scheduling parameter grid. LPV Simulation linsys is an array of 25 ...
Figure 4: LPV model configured using linsys. For simulating the model, we use an input profile for duty cycle that roughly cover ...
t = linspace(0,.05,1e3)'; din = 0.25sin(2pit100)+0.25; din(500:end) = din(500:end)+.1; % the duty cycle profile rin = linspace(4 ...
Figure 5: Scheduling parameter profiles chosen for simulation. Note: the code for generating the above signals has been added to ...
Figure 6: LPV simulation results. The LPV model simulates significantly faster than the original model BoostConverterExampleMode ...
Figure 7: Model used for comparing the response of high fidelity model with the LPV approximation of its average behavior. The s ...
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