Finite-time adaptive event-triggered output feedback intelligent control for noninteger order nonstrict feedback systems with asymmetric time-varying pseudo-state constraints and nonsmooth input nonlinearities. (English) Zbl 1542.93358
Summary: This paper addresses issues and challenges associated with approximation-based adaptive neural event-triggered output feedback control schemes for a group of non-integer order non-strict feedback systems subject to asymmetric time-varying pseudo-state constraints, unknown control directions, and input nonlinearities. The actuator nonlinearities are first approximated using Caputo fractional derivative definitions and novel continuous functions. After that, by introducing auxiliary non-integer order integrators, the original non-affine plant is transformed into an augmented affine system. Furthermore, neural networks, a high-gain observer, and Nussbaum-type functions are applied to deal with the unknown functions, the immeasurable pseudo-states, and the unknown control directions, respectively. In parallel, by utilizing non-integer order filters, the dynamic surface control technique is incorporated to eliminate the “explosion of complexity” that is frequently encountered with backstepping approaches. In addition, an event-triggered mechanism is integrated into the control design procedure to save computational resources and reduce communication burden. Time-varying asymmetric barrier Lyapunov functions are built with error variables to guarantee that the full pseudo-state constraints are not violated. Based on the Lyapunov stability theory, theoretical analysis indicates that the proposed control scheme ensures that (1) the Zeno behavior is excluded, (2) all the closed-loop signals are bounded and (3) the tracking errors converge to the origin asymptotically in finite time. This paper makes the following contributions: (1) New fractional differential inequalities are developed to extend traditional approaches for the stability analysis and the controller design procedure of integer order systems to fractional-order systems; (2) Compared with existing achievements, the proposed adaptive event-triggered control strategy is more advantageous in practice. Finally, simulation studies are worked out to prove the validity of the proposed approach and corroborate the theoretical results.
MSC:
| 93D40 | Finite-time stability |
| 93C40 | Adaptive control/observation systems |
| 93C65 | Discrete event control/observation systems |
| 93B52 | Feedback control |
| 26A33 | Fractional derivatives and integrals |
| 93D30 | Lyapunov and storage functions |
| 93C10 | Nonlinear systems in control theory |
Keywords:
approximation-based-neural adaptive control; event-triggering mechanism; non-integer order non-strict feedback systems; high-gain observer; time-varying asymmetric barrier Lyapunov functions; Nussbaum-type functionsReferences:
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