abdooo89
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How to find matix K (Riccati equatin) <<<<<< pleas help me
How to solve Riccati equation for nonlinear system
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How to find matix K (Riccati equatin) <<<<<< pleas help me
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abdooo89
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i need help please
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abdooo89 said:
Can you post more of the original assignment? It's not very clear what the meanings of the various terms in your post are.
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abdooo89
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i need only matrix K for a given matrices
the riccati equation is
A'K-KA-Q+KBR-1 B'K=0
![State-dependent matrices A(x) = [[0, 1], [x2^2, 0]] with A boxed, and B(x,u) = [0; (1+sqrt|x1|)(2+u)] with B boxed, in a state equation; below it Q = [[2, 0], [0, 1]], R = 1, and the matrix Riccati equation terms.](https://www.physicsforums.com/attachments/image-png.176933/ "image.png")
the riccati equation is
A'K-KA-Q+KBR-1 B'K=0
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I don't understand exactly what you're doing. It looks very similar to what is described on this page:
http://en.wikipedia.org/wiki/Linear...tical_description_of_the_problem_and_solution
But they don't match up exactly.
http://en.wikipedia.org/wiki/Linear...tical_description_of_the_problem_and_solution
But they don't match up exactly.
abdooo89
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the problem in this system is non-linearity that is why the riccati equation is hard to solve