An Approximation-Free Methodology to Tracking Control of Pure-Feedback Nonlinear Systems With Application to Hypersonic Flight Vehicles

Abstract

This paper addresses the problem of approximation-free prescribed performance control (PPC) for a class of non-triangular pure-feedback nonlinear dynamics whose nonaffine function of each subsystem is relaxed to rely on the whole state vector. The assumption made in this work is far more relaxed than all the available works in the sense that some commonly used Lipschitz condition or setting bounding function are never involved and only the continuity of nonlinearities are required. Furthermore, the proposed low-complexity PPC is simplified because neither approximators (neural networks and fuzzy logic systems) nor adaptation technique are embeded in the control design. By utilizing the barrier functions, some transient and steady state performances can be also preserved, while guaranteeing the closed-loop stability. Simulation results of hypersonic flight vehicles (HFVs) dynamics eventually validate the effectiveness of the proposed methodology.INDEX TERMS Non-triangular structural, prescribed performance, pure-feedback, barrier function, hypersonic flight vehicles.

Observer‐based adaptive event‐triggered neural tracking control for nonlinear cyber‐physical systems with incomplete measurements

“…17 Based on the T-S fuzzy model and switching adaptive state observer, designed a class of uncertain CPS nonlinear systems under DoS attacks. These nonlinear systems are strict-feedback systems, pure-feedback systems in non-affine forms are more general in structure than nonlinear systems in affine forms, many systems also exist in non-affine forms, for example, flight vehicles systems 18 and chemical systems. 19 Some scholars usually solve the control problems of network systems through fuzzy logic systems (FLSs) and neural networks (NNs) control.…”

Adaptive fuzzy finite‐time fault‐tolerant control design for nonlinear pure‐feedback systems with sensor faults

“…In recent years, nonlinear PFSs have received many attentions. [1][2][3][4][5] Compared to strict-feedback systems, PFSs are more general. On the one hand, the nonlinear PFSs can more realistically reflect the state of the actual system.…”

“…Nonlinear control systems have gradually come into the public and improved the modern control theory system. In recent years, nonlinear PFSs have received many attentions 1–5 . Compared to strict‐feedback systems, PFSs are more general.…”