摘要
This paper studies the issue of observer-based feedback stabilisation for a class of linear sampleddatasystems with model uncertainty and external disturbance. First, for a sampled-data systemwith external disturbance, a sampled-data observer is designed to estimate the system state.Subsequently, a robust H∞ controller based on the observer is developed. For a continuous samplinginterval, the gain matrices of both observer and controller change exponentially. Second,using the state coordinate transformations with an exponential rate, a unified dynamics is constructedby augmenting the state estimation error and the closed-loop system state as a newstate. Next, the sufficient conditions ensuring the asymptotical stability of the closed-loop systemare given by the Lyapunov–Krasovskii method and linear matrix inequality (LMI) technique.Finally, the effectiveness of the proposed method is verified by a helicopter model.
基金
the National Nature Science Foundation of China[grant number 61973105]
in part by the Fundamental Research Funds for the Universities of Henan Province[grant number NSFRF180335]
in part by the Innovative Scientists and Technicians Team of Henan Provincial High Education[grant number 20IRTSTHN019]
in part by the Innovative Scientists and Technicians Team of Henan Polytechnic University[grant number T2019-2]
in part by the Innovation Scientists and Technicians Troop Construction Projects of Henan Province[grant number CXTD2016054]
in part by the Zhongyuan high level talents special support plan[grant number ZYQR201912031].
