Improved Data-Driven Control Design Based on LMI and Its Applications in Lithium-Ion Batteries

This paper focuses on the data-driven control for discrete-time systems based on linear matrix inequality (LMI) and provides its application in Lithium-Ion batteries with disturbances. First, the system's state response is collected from a noisy environment to obtain the data matrices. Then, a new definition of parameters is proposed to improve the solvability of LMIs. To enhance the control scheme's robustness against disturbances, a penalty function with an adjustable factor is introduced. The range of disturbances that can be tolerated is quantified under the control mechanism. Finally, data-driven state-of-charge tracking control for Lithium-Ion batteries is studied in the simulation. Comparisons with existing approaches show the effectiveness and superiority of the proposed method in terms of performance and disturbance tolerance.