Simultaneous linear and anti-windup controller synthesis: delayed activation case. (English) Zbl 1332.93126
Summary: In this paper, we present a method for the synthesis of a delayed anti-windup scheme in which the anti-windup compensator is activated only when the degree of saturation reaches a certain level. Unlike the traditional two-step anti-windup design procedure, our method synthesizes entire parameters of the nominal controller and the delayed anti-windup compensator simultaneously. In this simultaneous design, the trade-offs between the linear and the constrained closed-loop response are carried out, for the anti-windup compensator retrofits to the “existing” nominal controller. Sufficient conditions for guaranteeing global stability and minimizing the induced \(\mathcal{L}_2\) gain performance for exogenous input are formulated and solved as some linear matrix inequality (LMI) optimization problems. Effectiveness of the proposed method is illustrated with a well-known example.
MSC:
| 93B50 | Synthesis problems |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C10 | Nonlinear systems in control theory |
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