A new perspective on static and low order anti-windup synthesis

Abstract

By viewing the anti-windup problem as a decoupled set of subsystems and relating this configuration to a general static anti-windup set-up, LMI conditions are established which guarantee stability and performance of the resulting closed-loop system. The approach taken, and the mapping used for the performance index, are logical and intuitive -and, it is argued, central to the 'true' anti-windup objective. The approach enables one to construct static anti-windup compensators in a systematic and numerically tractable manner. The idea is extended to allow low-order anti-windup compensators to be synthesised, which, while being sub-optimal, can improve transient performance and possess several desired properties (such as low computational overhead and sensible closed-loop pole locations). In addition, low-order anti-windup synthesis is often feasible when the corresponding static synthesis is not.

Throughput rate control for an 802.15.4 wireless body area network using static and low order anti-windup techniques

“…andD 2 are minimal realizations given in [14]. Solution to the LMI in (6) is achieved, (in the manner suggested by [4]), for Q > 0, U = diag(v 1 , ...v c ) > 0, and L ∈ (c+n)×n .…”

“…Again the LMI in (6) can be used to solve for [14]. After a number of iterations W 1 = diag(w 1 , ...w m ) is chosen to be a bank of low pass filters with w i = 0.0995 z − 0.99 As mentioned above a reduced G 2 can be used as W 2 , however in this case the model is of sufficiently low order not to need order reduction and thereforeG 2 is chosen to be G 2 .…”

“…Using the aforementioned conditioning technique to tune M (z), a method first introduced in [14] is applied to the WBAN network. Θ from Fig.…”

Alternative approach to anti-windup synthesis for double integrator systems

“…In this paper, we examine saturation in systems containing double integrators within the anti-windup framework presented in [8], [19]. Double integrators describe, or approximately describe, many systems, including Euler-Lagrange systems [20], aircraft systems, and especially the single-axis dynamics of quadrotors which inspired the work presented here.…”

Control Error Dynamic Modification as an Efficient Tool for Reduction of Effects Introduced by Actuator Constraints

“…Some of these techniques, like, e.g., the LMI approach (Postlethwaite et al, 2003;Ngyuen and Jabbari, 2000;Turner and Postlethwaite, 2004;Walgama et al, 1992), can even induce the robustness of the control system with respect to varying process properties. In all these cases, design is based on the fundamental assumption: the resulting closed-loop system has to preserve some gain margin for the most unfortunate control case.…”