- #1
abdooo89
- 20
- 0
How to find matix K (Riccati equatin) <<<<<< pleas help me
How to solve Riccati equation for nonlinear system
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SUMMARY
The discussion centers on solving the Riccati equation for a nonlinear system, specifically focusing on determining the matrix K. The Riccati equation presented is A'K - KA - Q + KBR^-1 B'K = 0. Participants highlight the complexity introduced by non-linearity, which complicates finding a solution. A reference to the Linear Quadratic Gaussian control method is provided for additional context.
PREREQUISITES- Understanding of Riccati equations in control theory
- Familiarity with linear-quadratic-Gaussian (LQG) control principles
- Knowledge of matrix operations and properties
- Experience with nonlinear systems analysis
- Study the derivation and applications of the Riccati equation in control systems
- Explore methods for solving nonlinear Riccati equations
- Learn about Linear Quadratic Gaussian control techniques
- Investigate numerical methods for matrix computations in control theory
Control engineers, researchers in nonlinear systems, and students studying advanced control theory will benefit from this discussion.
How to find matix K (Riccati equatin) <<<<<< pleas help me
- #2
abdooo89
- 20
- 0
i need help please
- #3
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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.
Last edited:
- #4
abdooo89
- 20
- 0
i need only matrix K for a given matrices
the riccati equation is
A'K-KA-Q+KBR-1 B'K=0
the riccati equation is
A'K-KA-Q+KBR-1 B'K=0
- #5
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- 2,954
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.
- #6
abdooo89
- 20
- 0
the problem in this system is non-linearity that is why the riccati equation is hard to solve
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