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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Seo, T. Ohtake, H. Tanaka, K. Ying-Jen Chen Wang, H.O. |
| Copyright Year | 2011 |
| Description | Author affiliation: Mechanical Engineering and Intelligent Systems, The University of Electro-Communications, Tokyo, Japan (Seo, T.; Ohtake, H.; Tanaka, K.) || Electrical Engineering, National Central University, Jhongli, Taiwan (R.O.C.) (Ying-Jen Chen) || Mechanical Engineering, Boston University, Boston, USA (Wang, H.O.) |
| Abstract | This paper presents a polynomial fuzzy observer design for a wider class of polynomial fuzzy systems via a sum of squares (SOS, for brevity) approach. The proposed SOS-based framework provides a number of innovations and improvements over the existing LMI-based approaches to Takagi-Sugeno (T-S) fuzzy controller and observer designs. First, we briefly summarize previous results for a class of polynomial fuzzy systems that is more general representation of the well-known T-S fuzzy system. Next, we propose a polynomial fuzzy observer to estimate states in a wider class of polynomial fuzzy systems and derive SOS conditions to design polynomial fuzzy controllers and observers. A remarkable feature of the SOS design conditions is that they realize the so-called separation principle, that is, that a polynomial fuzzy controller and observer for this class can be separately designed without lack of guaranteeing the stability of the overall control system in addition to converging state estimation error (via the observer) to zero. The design conditions in the proposed approach can be represented in terms of SOS and are symbolically and numerically solved via the recent developed SOSTOOLS and a semidefinite program (SDP) solver, respectively. To illustrate the validity and applicability of the proposed approach, a design example is provided. The example demonstrates advantages of the SOS-based approach for the existing LMI approaches to T-S fuzzy observer designs. |
| Starting Page | 1305 |
| Ending Page | 1311 |
| File Size | 232159 |
| Page Count | 7 |
| File Format | |
| ISBN | 9781424473151 |
| ISSN | 10987584 |
| e-ISBN | 9781424473175 |
| e-ISBN | 9781424473168 |
| DOI | 10.1109/FUZZY.2011.6007342 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-06-27 |
| Publisher Place | Taiwan |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Polynomials Observers Fuzzy systems Nonlinear systems Bismuth Stability analysis Time measurement sum of squares polynomial fuzzy controller polynomial fuzzy observer polynomial fuzzy system |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Theoretical Computer Science Software |
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