Journal
IEEE CONTROL SYSTEMS LETTERS
Volume 3, Issue 4, Pages 1014-1019Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2019.2920205
Keywords
Linear systems; optimal control; distributed control
Categories
Funding
- European Union European Research Council Starting Grant CONENE
- Engineering and Physical Sciences Research Council [EP/M002454/1]
- EPSRC [EP/M002454/1] Funding Source: UKRI
Ask authors/readers for more resources
This letter proposes a novel input-output parametrization of the set of internally stabilizing output-feedback controllers for linear time invariant (LTI) systems. Our underlying idea is to directly treat the closed-loop transfer matrices from disturbances to input and output signals as design parameters and exploit their affine relationships. This input-output perspective is particularly effective when a doubly coprime factorization is difficult to compute, or an initial stabilizing controller is challenging to find; most previous work requires one of these pre-computation steps. Instead, our approach can bypass such pre-computations, in the sense that a stabilizing controller is computed by directly solving a linear program (LP). Furthermore, we show that the proposed input-output parametrization allows for computing norm-optimal controllers subject to quadratically invariant (QI) constraints using convex programming.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available