Cooperative Control for a Class of Second-Order Stochastic Multi-Agent Systems with Sensor Faults

Event-Triggered, Adaptive, Exponentially Asymptotic Tracking Control of Stochastic Nonlinear Systems

“…Consider the analysis we discussed in the introduction-it is inevitable that some errors will occur in the practical application of sensors. Thus, we assume that the measured value of x E i and the real value of x i satisfy the following condition [29]:…”

“…Remark 3. The time-triggered mechanism-generally used in [26][27][28][29][30][31][36][37][38][39][40]42]-sends data strictly at fixed time intervals. The event-triggered mechanism used in this paper will only be triggered when the control signal used for the actuator, and the signal generated by the controller, are over a certain threshold.…”

“…In practical application systems, partial component failure or sudden external interference may cause sensor faults, which will inevitably reduce the performance of the system, or even destroy the whole application system. Therefore, many scholars have been contributing to research on stochastic nonlinear control systems with sensor faults in recent years [26][27][28][29][30][31][32][33]. Xu solves the problem of generalized correntropy-filter-based fault diagnosis and fault tolerant control for stochastic nonlinear systems subject to heavy-tailed distributed noises [28].…”

“…Xu solves the problem of generalized correntropy-filter-based fault diagnosis and fault tolerant control for stochastic nonlinear systems subject to heavy-tailed distributed noises [28]. Du discusses the problem of cooperative control for second-order, strict-feedback, stochastic, nonlinear, multi-agent systems against sensor faults [29]. Combining event-triggered mechanisms and sliding mode control, Aslam, et al investigate the complex fault control problems for Markov jump systems [30][31][32].…”

“…(1) An adaptive neural tracking control scheme for non-strict feedback stochastic nonlinear systems based on the event-triggered mechanism is presented. Compared with the time-triggered mechanism generally used in [26][27][28][29][30][31][36][37][38][39][40]42], this paper employs an event-triggered mechanism that reduces the frequency of control signal transmission in the system to reduce the communication burden. (2) In contrast to the normal formulation of the Lyapunov function in [34][35][36][37][38], negative exponential function is applied to the Lyapunov function to obtain exponential asymptotic tracking performance for stochastic nonlinear systems.…”