balreal

Gramian-based balancing of state-space realizations.

Syntax

  • [sysb, g] = balreal(sys)

  • [sysb, g, T, Ti] = balreal(sys)

Input argument

  • sys - LTI model.

Output argument

  • sysb - LTI model.

  • g - Diagonal vector of the balanced Gramian matrix.

  • T - State similarity transform matrix.

  • Ti - State similarity transform inverse matrix.

Description

balreal(sys) calculates a balanced realization, denoted as sysb, for the stable segment of the linear time-invariant (LTI) model sys.

This process is applicable to both continuous and discrete systems. If sys is not initially in state-space form, the function automatically converts it to state space using ss before proceeding with the balanced realization.

Example

sys = ss([-1, 0; 0.1, -3], [1, 0]', [0, 1], 0);
[sysb, g, T, Ti] = balreal(sys)

See also

gram.

History

Version
Description

1.0.0

initial version

Author

Allan CORNET

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