Stability Analysis of FDCM-Based Controller for Hypersonic Vehicles

Adaptive control is a fundamental problem in control system design. This paper addresses an important but challenging issue in the design of intelligent adaptive controllers, which is the stability guarantee. The intelligent adaptive control based on fuzzy dynamic characteristic modeling (FDCM) was proposed for nonlinear system design and analysis through the combination of fuzzy dynamic modeling and characteristic modeling approaches. Motivated by our previous research work, we discuss the stability properties of an FDCM-based controller in its application of hypersonic vehicle. Considering the requirement of complex controller design for hypersonic vehicle, an FDCM-based control design structure is first developed. Then, under some conditions in system parameters of FDCM, our controller stability analysis problem is formulated. By defining a Lyapunov function and using the Lyapunov stability construct, we develop a new result of uniformly asymptotic stability for the proposed FDCM-based controller in hypersonic vehicle control application. This result provides a theoretical guarantee to our proposed controller design and implementation.