Input–output decoupling by output feedback with disturbance attenuation of H_∞ control for any square system

Abstract

The combined problem of diagonal decoupling by output feedback with disturbance attenuation performance for any square system is formulated. A sufficient condition which is more general than the necessary and sufficient one of static state feedback for the existence of the controller is determined. The necessary and sufficient conditions for the controller and decoupled system that are both stable are presented. An analytical form and a numerical computable method for the controller are obtained for the first time when the condition is satisfied. The correctness of our method is tested by simulations for an example.

Keywords:

• disturbance rejection
• input-output diagonal decoupling
• internal stability
• linear systems
• output feedback
• time domain

Additional information

Funding

This work was supported by the National Basic Research Program of China (973 Program) [grant number 2012CB821200], [grant number 2012CB821201]; the NSF of China [grant number 61134005], [grant number 61221061], [grant number 61327807], [grant number 61320106006].