Output Feedback Adaptive Control of Uncertain Dynamical Systems with Event-Triggering

On Event-Triggered Adaptive Architectures for Decentralized and Distributed Control of Large-Scale Modular Systems

“…In addition, the authors of [ 24 , 25 , 26 , 27 , 28 , 29 , 30 ] present decentralized and distributed control architectures with event triggering; however, these approaches do not consider adaptive control architectures and assume perfect models of the processes to be controlled; hence, they are not practical for large-scale modular systems with significant system uncertainties. Only the authors of [ 31 , 32 , 33 , 34 , 35 , 36 ] present event-triggered adaptive control approaches for uncertain dynamical systems. In particular, the authors of [ 31 , 32 ] consider data transmission from a physical system to the controller, but not vice versa, while developing their adaptive control approaches to deal with system uncertainties.…”

“…In particular, the authors of [ 31 , 32 ] consider data transmission from a physical system to the controller, but not vice versa, while developing their adaptive control approaches to deal with system uncertainties. On the other hand, the adaptive control architectures of the authors in [ 33 , 34 , 35 , 36 ] consider two-way data transmission over wireless networks; that is, from a physical system to the controller and from the controller to this physical system. However, none of these approaches can be directly applied to large-scale modular systems.…”

“…However, none of these approaches can be directly applied to large-scale modular systems. This is due to the fact that large-scale modular systems require decentralized and distributed architectures, and direct application of the results in [ 31 , 32 , 33 , 34 , 35 , 36 ] to this class of systems can result in centralized architectures, which is not practically desired due to the large-scale nature of modular systems. To summarize, there do not exist resilient adaptive control architectures for large-scale systems in the literature to deal with system uncertainties while reducing the communication costs between the models and their remote processors.…”

“…Specifically, the proposed decentralized and distributed adaptive architectures of this paper guarantee overall system stability while reducing wireless network utilization and achieving a given system performance in the presence of system uncertainties that can result from modeling and degraded modes of operation of the modules and their interconnections between each other. From a theoretical viewpoint, the proposed event-triggered adaptive architectures here can be viewed as a significant generalization of our prior work documented in [ 35 , 36 ] to large-scale modular systems, which consider a state emulator-based adaptive control methodology with robustness against high-frequency oscillations in the controller response [ 10 , 13 , 37 , 38 , 39 , 40 , 41 , 42 ]. In this generalization, we also adopt necessary tools and methods from [ 6 , 23 ] on decentralized and distributed adaptive controller construction for large-scale modular systems.…”