ctrb

Controllability of state-space model.

Syntax

• Co = ctrb(A, B)
• Co = ctrb(sys)

Input argument

• sys - State-space model
• A - State matrix: Nx-by-Nx matrix
• B - Input-to-state matrix: Nx-by-Nu matrix

Output argument

• Co - Controllability matrix.

Description

Controllability in a dynamic system refers to the system's ability to be guided to any desired state within a finite timeframe through the application of suitable control signals.

This property is commonly known as reachability.

The function ctrb is employed to calculate a controllability matrix, either from state matrices or a state-space model.

The resulting matrix serves as a tool to assess and confirm the controllability of the system.

Example

A = [1 2; 0 3];
B = [1; 1];
C = eye(2);
D = zeros(2, 1);
sys = ss(A, B, C, D);
Co = ctrb(sys)

See also

ctrbf, obsv.

History

Author

Allan CORNET