Abstract
The anti-windup (AW) problem is formulated in discrete time using a configuration which effectively decouples the nominal linear and nonlinear parts of a closed loop system with constrained plant inputs. Conditions are derived which ensure an upper bound on the induced l2 norm of a certain mapping which is central to the anti-windup problem. Results are given for the full-order case, where a solution always exists, and for static and low-order cases, where a solution does not necessarily exist, but which is often more appealing from a practical point of view. The anti-windup problem is also framed and solved for continous-time systems under sampled-data control. It is proved that the stability of the anti-windup compensator loop is equivalent to a purely discrete-time problem, while a hybrid induced norm is used for performance recovery. The performance problem is solved using linear sampled-data lifting techniques to transpose the problem into the purely discrete domain. The results of the paper are demonstrated on a flight control example.
Translated title of the contribution | Discrete-time and sampled data anti-windup synthesis: stability and performance |
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Original language | English |
Pages (from-to) | 91 - 113 |
Number of pages | 23 |
Journal | The International Journal of Systems Science (Special Issue) |
Volume | 37(2) |
DOIs | |
Publication status | Published - 2006 |