<< damp

Control System functions

dcgain >>

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dare

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Discret-time algebraic Riccati equation solution.

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Syntax

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[X, L, G] = dare(A, B, Q)

[X, L, G] = dare(A, B, Q, R, S, E)

Input argument

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A

Matrix representing the state with dimensions n x n, where n corresponds to the number of states.

B

Matrix representing control with dimensions n x p, where p is the number of inputs.

Q

Matrix describing the cost associated with the state, having dimensions n x n, where n is the number of states.

R

Matrix representing the cost associated with control, with dimensions p x p, where p is the number of inputs.

S

Matrix that is optionally real-valued with dimensions n x p.

E

Matrix with dimensions n x n that serves as a descriptor matrix.

Output argument

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X

stabilized solution for the discret-time Riccati equation of dimension n x n.

L

Closed-loop pole vector.

G

Gain matrix.

Description

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The function dare(A, B, Q) calculates the exclusive solution, denoted as X, for the discret-time algebraic Riccati equation with matrices A, B, and Q, and also provides additional matrices L and G.

Example

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a = [-3 2;1 1];
b = [0 ; 1];
c = [1 -1];
r = 3;
[x, l, g] = dare(a, b, c'*c, r)

See also

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slicot_sb02od, slicot_sg02ad.

History

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Version	Description
1.0.0	initial version

Author

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SLICOT Documentation