Approximation-Based Event-Triggered Control Against Unknown Injection Data in Full States and Actuator of Uncertain Lower-Triangular Nonlinear Systems

Abstract

This paper addresses an approximation-based adaptive event-triggered control problem against unknown injection data in full state measurements and an actuator of systems with unknown strictfeedback nonlinearities. It is assumed that full state variables measured for state-feedback control are corrupted by unknown injection data that denote cyber attacks or fault signals, and all system nonlinearities are unknown. Owing to the corrupted state feedback information, error surfaces using exactly measured state variables become unknown during the recursive control design procedure for strict-feedback nonlinear systems. Thus, they cannot be used to implement the adaptive event-triggered controller. To address this problem, an approximation-based adaptive recursive event-triggered control design using the corrupted state variables is established to ensure that error surfaces using exactly measured state variables converge to an adjustable neighborhood of the origin in the Lyapunov sense. The adaptive controller and its event-triggering law using corrupted states are designed under uncertain injection data where the adaptive injection data compensators using the neural networks are constructed to deal with the unknown injection data effects. The stability of the closed-loop systems and the exclusion of Zeno behavior are analyzed. INDEX TERMS Event-triggered control, corrupted full state measurements, unknown injection data, dynamic surface design, unknown strict-feedback nonlinearities.

Adaptive resilient control for cyber-physical systems against unknown injection attacks in sensor networks

“…Theorem 1: Providing that Assumption 1-5 are satisfied, consider the cyber-physical systems in strict-feedback form (1) subjected to the false data injection attacks through sensor networks and the recursive controller (28) with ESOs (10),( 15), (22).Then there exist 0 0   such that for any 0 (0, )   :…”

“…A novel Nussbaum function is developed in the adaptive backstepping control [21] . For nonlinear strict-feedback systems under false injection data and unknown nonlinearities, injection data compensators via neural networks are designed and an adaptive approximation recursive event-triggered control is investigated [22] . In time-varying multiagent systems, the random stealthy false data-injection attacks on sensor and actuator channels are modeled as the Bernoulli processes.…”

Relative Threshold-Based Event-Triggered Control for Nonlinear Constrained Systems With Application to Aircraft Wing Rock Motion

“…The asymmetric barrier Lyapunov function (ABLF) based adaptive event-driven control approach is developed in [50] for a 6-DOF quadrotor with time-varying output constraints, while the event-triggered control problem for full state constraints is solved for aircraft wing rock motion system in this paper. The authors in [51] address the eventdriven control problem for a class of strict-feedback systems with unknown injection data and the theoretical method is executed in a wing rock model. Besides, two event-driven control methods are presented for a switched linear parameter varying systems in [52], and the control strategies are used to an aircraft engines.…”

“…Besides, two event-driven control methods are presented for a switched linear parameter varying systems in [52], and the control strategies are used to an aircraft engines. In contrast to [49], [51] and [52], our eventtriggered control method pays close attention to the constraints of the roll angle, roll rate and aileron deflection angle.…”

Adaptive Secure Control for Leader-Follower Formation of Nonholonomic Mobile Robots in the Presence of Uncertainty and Deception Attacks

“…In [16], a neural-network-based controller was presented for uncertain nonlinear time-delay cyberphysical systems in the presence of sensor and actuator attacks. An approximation-based event-triggered control method was proposed to compensate for unknown injection data of lower-triangular nonlinear systems in [17]. In [18], an adaptive control scheme for second-order nonlinear systems was presented to deal with time-varying parameters and an unknown control direction brought by the injection and deception attacks.…”