care

Continuous-time algebraic Riccati equation solution.

📝 Syntax

• [X, L, G] = care(A, B, Q)

• [X, L, G] = care(A, B, Q, R, S, E)

📥 Input argument

• 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

• X - stabilized solution for the continuous-time Riccati equation of dimension n x n.

• L - Closed-loop pole vector.

• G - Gain matrix.

📄 Description

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

💡 Example

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

🔗 See also

slicot_sb02od, slicot_sg02ad.

🕔 History

Version	📄 Description
1.0.0	initial version