Adaptive control of coupled dynamical systems: a mixed state and output feedback framework

An asymptotic decoupling approach for adaptive control with unmeasurable coupled dynamics

“…Specifically, in contrast to the studies in, for example, References 10 and 11, our contribution is a decoupling approach that not only guarantees closed‐loop system stability but also asymptotic convergence between the trajectories of an uncertain dynamical system and a given reference model (Section 3). By contrast to the study in Reference 12, in addition, the key feature of the proposed framework is that it does not rely on any measurements from the coupled dynamics. Furthermore, the resulting sufficient stability condition is tight due to the fact that it is derived directly from the coupled dynamics.…”

“…Notable approaches that provide a remedy to this adaptive control problem include 7‐12 (also see references therein). In particular, the authors of References 7‐9 propose adaptive control approaches when coupled dynamics are presented in feedback loops.…”

“…Yet, similar to Reference 10, only boundedness of uncertain dynamical system trajectories is established in Reference 11. Finally, Reference 12 investigates feedback control of coupled actuated‐unactuated dynamical systems. While they can guarantee stability and asymptotic convergence between the trajectories of an uncertain dynamical system and a reference model, their approach requires measurements from the coupled dynamics (unlike the results in References 10,11) that is not always practically available in feedback control applications (ie, control of high‐speed airlanes).…”