Fuzzy Interactions Compensation in Adaptive Control of Switched Interconnected Systems

Abstract

In this work, tracking decentralized control scheme can be addressed for switched interconnected systems. To remove the strict assumption for interconnected systems, a new fuzzy interactions compensation function is presented. By directly employing the dynamic loop gain function, it is difficult to solve algebraic loop issue under switching framework. To relax such restriction, one novel mode-dependent dynamic loop gain function can be developed. Furthermore, adaptive controller can be designed to ensure stability of closed-loop system. Finally, availability of developed control scheme can be proven by the examples. <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Note to Practitioners</i> —Under the switching framework, the internal performances of different modes are usually different, and repeating switching of different subsystems may result in the discontinuity of Nussbaum function’s argument. Therefore, this paper proposes one novel mode-dependent dynamic loop gain function. It can be shown that the proposed mode-dependent dynamic loop gain function technique in which every mode in underlying system has its own dynamic loop gain function, which can remove such difficulty. The examples are applied to confirm availability of developed design.