Composite Anti-Disturbance Control of Hidden Semi-Markov Jump Systems via Disturbance Observer  

作　　者：MEN Yunzhe SUN Jian 

机构地区：[1]National Key Lab of Autonomous Intelligent Unmanned Systems,School of Automation,Beijing Institute of Technology,Beijing,100081,China [2]Beijing Institute of Technology Chongqing Innovation Center,Chongqing,401120,China

出　　处：《Journal of Systems Science & Complexity》2023年第6期2255-2273,共19页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grants Nos.62173034,61925303,and 62088101。

摘　　要：This paper focuses on the disturbance suppression issue of hidden semi-Markov jump systems leveraging composite control.The system consists of a semi-Markov layer and an observed mode sequence layer,and it is subject to a matched disturbance generated by an exogenous system and a mismatched disturbance that is norm bounded.The proposal is to design a composite controller based on a disturbance observer to counteract and attenuate the disturbances effectively.By constructing a special Lyapunov function comparison point,the exponential stability is analyzed with the stability criterion in the form of linear matrix inequality is established.Two simulation examples are provided to demonstrate the practical merits of the composite controller relative to the single H_(∞)control.

关 键 词：Composite control disturbance observer ε-error hidden semi-Markov jump systems 

分 类 号：O211.62[理学—概率论与数理统计] O231[理学—数学]