Stable Identification and Adaptive Control - A Dynamic Fuzzy Logic System Approach

George Vukovich and James X. Lee
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George Vukovich: Canadian Space Agency, Directorate of Space Mechanics
James X. Lee: Carleton University, Department of Mechanical and Aerospace Engineering

Chapter 2.7 in Fuzzy Evolutionary Computation, 1997, pp 223-248 from Springer

Abstract: Abstract This work presents a dynamic fuzzy logic system based and stability oriented synthesis scheme for identification and adaptive control of nonlinear dynamic systems. First, a Dynamic Fuzzy Logic System structure (DFLS) is introduced. Following this, a DFLS based identification scheme is described, which was developed using the Lyapunov synthesis approach with a projection algorithm modification, and has been shown to be stable for a large class of nonlinear systems in the sense that all system parameters and variables are uniformly bounded. Further, a novel DFLS based indirect adaptive control scheme is developed using the same Lyapunov synthesis approach which is applicable to nonlinear systems in companion form. The system closed loop performance and stability properties are theoretically analyzed. Application of the identification and adaptive control algorithms to nonlinear dynamic systems is demonstrated by simulation examples which demonstrate that satisfactory results can be obtained under quite stringent conditions.

Keywords: Membership Function; Chaotic System; Adaptive Control; Nonlinear Dynamic System; Uniform Boundedness (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-6135-4_10

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DOI: 10.1007/978-1-4615-6135-4_10

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