Control of Nonlinear Systems by Fuzzy Observer-Controller with Unmeasurable Premise Variables

Chuang Liu, H. K. Lam, Shun-Hung Tsai, Chin-Sheng Chen

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review

7 Citations (Scopus)
216 Downloads (Pure)

Abstract

In this paper, we investigate the stability of Takagi-Sugeno (T-S) fuzzy-model-based (FMB) observer-control system. Premise membership functions depending on unmeasurable premise variables are considered to enhance the flexibility and applicability of the fuzzy observer-controller. The fuzzy observer is designed to estimate the system states and the estimated states are employed for state-feedback control of nonlinear systems. Convex stability conditions are obtained through matrix decoupling technique so that a solution can be searched using convex programming techniques. The proposed analysis is able to reduce the number of predefined scalars by adequately choosing the augmented vector. Nonetheless, due to the mismatched premise membership functions between the fuzzy model and fuzzy observer-controller, it complicates the stability analysis which potentially leads to conservative stability conditions. To alleviate the problem, the stability conditions are relaxed by membershipfunctiondependent approach which takes the information of membership functions into consideration in the stability analysis. Simulation examples are provided to demonstrate the feasibility and relaxation of proposed FMB observer-control scheme.

Original languageEnglish
Title of host publication2015 International Conference on Advanced Robotics and Intelligent Systems, ARIS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-6
ISBN (Print)9781479918515
DOIs
Publication statusPublished - 31 May 2015
EventInternational Conference on Advanced Robotics and Intelligent Systems, ARIS 2015 - Taipei, Taiwan
Duration: 29 May 201531 May 2015

Conference

ConferenceInternational Conference on Advanced Robotics and Intelligent Systems, ARIS 2015
Country/TerritoryTaiwan
CityTaipei
Period29/05/201531/05/2015

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