Open AccessPolytopic Model Weighted H∞ Output Feedback Control of Switched Lpv System Based on Mdadt
Author(s) -
Tao Wang,
Xuehai Wang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1267/1/012089
Subject(s) - dwell time , control theory (sociology) , lyapunov function , state (computer science) , limit (mathematics) , stability (learning theory) , exponential stability , function (biology) , class (philosophy) , output feedback , computer science , linear system , mathematics , control (management) , nonlinear system , algorithm , physics , medicine , clinical psychology , mathematical analysis , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , biology
This paper provides and validates a class of weighted H ∞ output feedback controllers of switched LPV (Linear Parameter Varying) systems based on the MDADT (Modal Dependent Average Dwell Time) method. First of all, the article uses a multi-lyapunov function to convert the linear parameter varying system into a polytopic model, and designs a switching law that can guarantee the system to be globally uniform and exponentially stable on the MDADT method. It can be shown that when the state is stable and can be measured in real time, the switching law and weighted H ∞ controllers for each subsystem under the MDADT limit can be calculated. Finally, a numerical example is given to verify the feasibility of this method and the stability of the switched LPV system.