Saturated-threshold event-triggered adaptive global prescribed performance control for nonlinear Markov jumping systems and application to a chemical reactor model

Abstract

This paper puts forward an adaptive saturated threshold event-triggered control (STETC) scheme with global transient and steady-state performance assurance for nonlinear Markov jumping systems. Initially, the dead- zone model is characterized by an adaptive approximation model while integrating the property of the Nussbaum function. Then, an improved adaptive global preassigned performance control scheme is developed under the command-filtered backstepping control framework, where a second-order filter is employed to tackle the curse of dimensionality faced by the iterative derivation and a novel error compensation signal is constructed with consideration of the characteristics of dead-zone output and preassigned performance to eliminate the potential effects caused by filter errors. Drawing inspiration from the preceding ETC results, a STETC tactic fusing the dynamic parameter is proposed to economize the communication costs, and the control signal is encoded and decoded as 0 or 1 bits to decrease the bandwidth consumption simultaneously. The reported STETC method guarantees that overall signals in the closed-loop system keep bounded in probability while the tracking error rigorously evolves within the prescribed range without dependent on initial values. Ultimately, two illustrative examples are implemented to check the flexibility and practicality of the reported control solution.