Switched-Observer-Based Event-Triggered Adaptive Fuzzy Funnel Control for Switched Nonlinear Systems

Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems

“…Consider the nonstrict-feedback switched system (1) satisfying Assumptions 1 and 2. For any bounded initial conditions with −𝜁 L (0) < 𝜁(0) < 𝜁 H (0) and θij (0) ≥ 0, i = 1, … , n, j = 1, … , m, the event-triggered adaptive fuzzy controllers of subsystems (38), (42), the switched update laws (20), (33), (40) and the switching DETM ( 43)-( 46) can guarantee that the following two properties are satisfied under arbitrary switchings.…”

“…by using the facts of To overcome these difficulties, the common virtual controls (18), (31), the event-triggered adaptive fuzzy controllers of subsystems (38), (42) together with the switched update laws (20), (33), (40), and a new switching DETM ( 43)-( 46) are designed, which effectively ensure the achievement of control objective stated in Section 2.…”

“…Under some known limitations on maximum asynchronous time, this difficulty has been overcame for switched linear systems 28‐31 . In the context of strict feedback switched nonlinear systems, our recent papers 32,33 have effectively coped with the asynchronous switching without any known limitations on maximum asynchronous time. But the proposed ETMs in References 32,33 are only static, and the methods of References 32,33 cannot attain fixed‐time convergence of tracking error for nonstrict‐feedback switched nonlinear systems.…”

“…In the context of strict feedback switched nonlinear systems, our recent papers 32,33 have effectively coped with the asynchronous switching without any known limitations on maximum asynchronous time. But the proposed ETMs in References 32,33 are only static, and the methods of References 32,33 cannot attain fixed‐time convergence of tracking error for nonstrict‐feedback switched nonlinear systems. Furthermore, the elimination of Zeno behavior of sampling is also challenging in the study of ETC for nonstrict‐feedback switched nonlinear systems, since the switchings of subsystems may cause events to be triggered.…”

“…Inspired by the aforementioned discussions, this paper develops a dynamic event‐triggered fixed‐time adaptive fuzzy tracking control method for a type of nonstrict‐feedback switched nonlinear systems with asymmetric tracking error constraints. The main contributions of this paper are summarized as: A sufficient condition to solve the dynamic event‐triggered fixed‐time adaptive fuzzy tracking control problem of nonstrict‐feedback switched nonlinear systems with asymmetric tracking error constraints is derived. Unlike all existing ETMs for switched linear or nonlinear systems, such as References 28,33‐35, a novel switching DETM is proposed in this paper. This DETM directly overcomes the difficulty caused by asynchronous switching, and all known limitations on maximum asynchronous time in References 28‐31 are removed. By constructing different event‐triggered adaptive fuzzy controllers for different subsystems and switched update laws, the conservativeness caused by the design of a common event‐triggered controller in References 34,36 is eliminated.…”