Observer-based robust control for a class of sampled-data systems with model uncertainty and external disturbance  

作　　者：Junqi Yang Zechen Li Yantao Chen 

机构地区：[1]School of Engineering and Automation,Henan Polytechnic University,Jiaozuo,People’s Republic of China [2]Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment,Henan Polytechnic University,Jiaozuo,People’s Republic of China

出　　处：《Journal of Control and Decision》2023年第3期454-463,共10页控制与决策学报（英文）

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].

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.

关 键 词：Sampled-data system OBSERVER linear matrix inequality robust controller 

分 类 号：O17[理学—数学]