Quantized Adaptive Decentralized Control for a Class of Interconnected Nonlinear Systems With Hysteretic Actuators Faults

In this paper, a quantized adaptive decentralized output feedback control is proposed for a class of interconnected nonlinear systems with quantized input and possible number of hysteretic actuators failure up to infinity. The hysteretic actuators nonlinearities are described by the Prandtl-Ishlinskii model. In order to compensate the effects of the possible number of the hysteretic actuators failures up to infinity and input quantization, a modified backstepping approach is proposed by utilizing the high-gain k-filters, hyperbolic tangent function property, and bound estimation approach. It is proved both mathematically and by numerical simulations that using the proposed controller, all the signals of the closed-loop system are globally bounded despite of the input quantization and possible number of hysteretic actuators failures up to infinity.