Enlarging the domain of attraction and maximising convergence rate for delta operator systems with actuator saturation. (English) Zbl 1334.93086
Summary: In this paper, we present some new approaches to improve the feedback property of delta operator systems with actuator saturation. Both enlarging the domain of attraction and maximizing the convergence rate are the desired feedback properties. The lifting technique is used to enlarge the domain of attraction for the delta operator systems subject to actuator saturation. The maximization of convergence rate is realized by designing the control gain inside a given ellipsoid. A necessary and sufficient condition is proposed for the contractive invariance of the given ellipsoid. Simulation results are provided to demonstrate the effectiveness of the developed techniques.
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C10 | Nonlinear systems in control theory |
| 93C57 | Sampled-data control/observation systems |
| 93B52 | Feedback control |
Keywords:
delta operator system; actuator saturation; domain of attraction; lifting technique; convergence rateReferences:
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