A Fuzzy Approach for Robust Reference-Tracking-Control Design of Nonlinear Distributed Parameter Time-Delayed Systems and Its Application
| Autor: | Yu-Te Chang, Bor-Sen Chen |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Noise measurement
Applied Mathematics Finite difference method Linear matrix inequality Fuzzy logic Nonlinear system Computational Theory and Mathematics Artificial Intelligence Control and Systems Engineering Distributed parameter system Robustness (computer science) Control theory Partial derivative Mathematics |
| Zdroj: | IEEE Transactions on Fuzzy Systems. 18:1041-1057 |
| ISSN: | 1941-0034 1063-6706 |
| DOI: | 10.1109/tfuzz.2010.2058809 |
| Popis: | This paper addresses the robust reference-tracking-control problem for nonlinear distributed parameter systems (NDPSs) with time delays, external disturbances, and measurement noises. The NDPS is measured at several sensor locations for output-feedback tracking control. A fuzzy-spatial state-space model derived via finite-difference approach is introduced to represent the nonlinear distributed parameter time-delayed system. Thus, we use a fuzzy interpolation method with several local linear systems to approximate the nonlinear system and employ the finite-difference method to approximate the partial differential operators in fuzzy-spatial state-space model. Based on this model, a robust fuzzy-observer-based reference-tracking controller is proposed to control the NDPS to track a desired reference trajectory. First, a 2-D tracking performance in a spatiotemporal domain is proposed for robust tracking design of nonlinear distributed parameter time-delayed systems. Then, an equivalent 1-D reference-tracking design is developed to simplify the design procedure, and the linear-matrix-inequality (LMI) technique is applied to solve the control gains and observer gains for the robust tracking-design problem via a systematic control-design procedure. Finally, a tracking-control-design example for the nervous system is given to confirm the proposed reference-tracking-control scheme of nonlinear distributed parameter time-delayed systems. |
| Databáze: | OpenAIRE |
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