Static state feedback triangular block decoupling for arbitrary systems: a state-space method

ABSTRACT

In this paper, the static state feedback triangular block decoupling problem for a general system described by (A, B, C, D) quadruples is studied. Necessary and sufficient conditions which are numerically verifiable are obtained and a numerically reliable decoupling method is established in the state space. Two examples are solved by our method which show the effectiveness.

KEYWORDS:

• Linear system
• static state feedback
• state-space method
• transcale coupling
• triangular decoupling

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Basic Research Program of China (973 Program)[grant number 2012CB821200], [grant number 2012CB821201]; the NSFC [grant number 61134005], [grant number 61327807,61521091], [grant number 61520106010); the Fundamental Research Funds for the Central Universities [grant number YWF-16-GJSYS-31], [grant number YWF-16-GJSYS-32].