Unknown input based observer synthesis for an interval type-2 polynomial fuzzy system with time delays and uncertainties
作者： Jiayue Sun , Huaguang Zhang , He Jiang , Jian Han
DOI: 10.1016/J.NEUCOM.2019.02.028
关键词:
摘要: Abstract To reduce the complexity of controller design for a type-2 polynomial fuzzy system with time delays and uncertainties, which can be translated into unknown input, paper adopts sum squares (SOS) procedure different from traditional linear matrix inequality (LMI)-based approaches. Control scheme interval might achieve better performance due to additional degrees freedom, however, complicated internal structure is still bottleneck restriction robust stability nonlinear system. Proposed observer synthesis adhibition SOS both lower computational cost efficaciously. Investigated malfunctions uncertainties whose effect must eliminated without designed extra simplification. The input based approach proposed, by which, estimation error asymptotically converge zero taking as input. Simulation examples are demonstrate feasibilities proposed approach.
sci-hub.se 参考文章(38)
Xudong Zhao, Lixian Zhang, Peng Shi, Hamid Reza Karimi, Novel Stability Criteria for T--S Fuzzy Systems IEEE Transactions on Fuzzy Systems. ,vol. 22, pp. 313- 323 ,(2014) , 10.1109/TFUZZ.2013.2254491
Xiangpeng Xie, Dongsheng Yang, Hongjun Ma, Observer Design of Discrete-Time T-S Fuzzy Systems Via Multi-Instant Homogenous Matrix Polynomials IEEE Transactions on Fuzzy Systems. ,vol. 22, pp. 1714- 1719 ,(2014) , 10.1109/TFUZZ.2014.2302491
Hong-Bing Zeng, Yong He, Min Wu, Jinhua She, Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay IEEE Transactions on Automatic Control. ,vol. 60, pp. 2768- 2772 ,(2015) , 10.1109/TAC.2015.2404271
Shohei Fujita, On the observability of decentralized dynamic systems Information & Computation. ,vol. 26, pp. 45- 60 ,(1974) , 10.1016/S0019-9958(74)90714-1
H. K. Lam, Hongyi Li, Christian Deters, E. L. Secco, Helge A. Wurdemann, Kaspar Althoefer, Control Design for Interval Type-2 Fuzzy Systems Under Imperfect Premise Matching IEEE Transactions on Industrial Electronics. ,vol. 61, pp. 956- 968 ,(2014) , 10.1109/TIE.2013.2253064
Guang-Hong Yang, Huimin Wang, Fault Detection and Isolation for a Class of Uncertain State-Feedback Fuzzy Control Systems IEEE Transactions on Fuzzy Systems. ,vol. 23, pp. 139- 151 ,(2015) , 10.1109/TFUZZ.2014.2308920
Sheng-Juan Huang, Guang-Hong Yang, Fault Tolerant Controller Design for T–S Fuzzy Systems With Time-Varying Delay and Actuator Faults: A K-Step Fault-Estimation Approach IEEE Transactions on Fuzzy Systems. ,vol. 22, pp. 1526- 1540 ,(2014) , 10.1109/TFUZZ.2014.2298053
T.M. Guerra, A. Kruszewski, L. Vermeiren, H. Tirmant, Conditions of output stabilization for nonlinear models in the Takagi--Sugeno's form Fuzzy Sets and Systems. ,vol. 157, pp. 1248- 1259 ,(2006) , 10.1016/J.FSS.2005.12.006
Chuang Liu, H. K. Lam, Design of a Polynomial Fuzzy Observer Controller With Sampled-Output Measurements for Nonlinear Systems Considering Unmeasurable Premise Variables IEEE Transactions on Fuzzy Systems. ,vol. 23, pp. 2067- 2079 ,(2015) , 10.1109/TFUZZ.2015.2402685
Lixian Zhang, Zepeng Ning, Peng Shi, Input—Output Approach to Control for Fuzzy Markov Jump Systems With Time-Varying Delays and Uncertain Packet Dropout Rate IEEE Transactions on Cybernetics. ,vol. 45, pp. 2449- 2460 ,(2015) , 10.1109/TCYB.2014.2374694