Robust H_∞ Fuzzy Approach Design Via Takagi-Sugeno Descriptor Model. Application for 2-DOF Serial Manipulator Tracking Control

[1] X. Yuan, B. Chen, and C. Lin, “Fuzzy adaptive output-feedback tracking control for nonlinear strict-feedback systems in prescribed fiinite time,” Journal of the Franklin Institute, vol. 358, no. 15, pp. 7309–7332, 2021. Search in Google Scholar

[2] D. Cui, Y. Wang, H. Su, Z. Xu, and H. Que, “Fuzzymodel-based tracking control of markov jump nonlinear systems with incomplete mode information,” Journal of the Franklin Institute, vol. 358, no. 7, pp. 3633–3650, 2021. Search in Google Scholar

[3] A. Li, M. Liu, and Y. Shi, “Adaptive sliding mode attitude tracking control for flexible spacecraft systems based on the takagi-sugeno fuzzy modelling method,” Acta Astronautica, vol. 175, pp. 570–581, 2020. Search in Google Scholar

[4] X. Yin, L. Pan, and S. Cai, “Robust adaptive fuzzy sliding mode trajectory tracking control for serial robotic manipulators,” Robotics and Computer-Integrated Manufacturing, vol. 72, p. 101884, 2021. Search in Google Scholar

[5] B.-S. Chen, C.-H. Chang, and H.-C. Lee, “Robust synthetic biology design: stochastic game theory approach,” Bioinformatics, vol. 25, no. 14, pp. 1822–1830, 05 2009. Search in Google Scholar

[6] X. Cheng, P. Wang, and G. Tang, “Fuzzyreconstruction-based robust tracking control of an air-breathing hypersonic vehicle,” Aerospace Science and Technology, vol. 86, pp. 694–703, 2019. Search in Google Scholar

[7] Y. Liu, Z. Wang, Y. Wang, D. Wang, and J. Xu, “Cascade tracking control of servo motor with robust adaptive fuzzy compensation,” Information Sciences, vol. 569, pp. 450–468, 2021. Search in Google Scholar

[8] G. Sun, Z. Ma, and J. Yu, “Discrete-time fractional order terminal sliding mode tracking control for linear motor,” IEEE Trans. Ind. Electron., vol. 65, no. 4, pp. 3386–3394, 2018. Search in Google Scholar

[9] H. Ouyang, Z. Tian, L. Yu, and G. Zhang, “Adaptive tracking controller design for double-pendulum tower cranes,” Mechanism and Machine Theory, vol. 153, p. 103980, 2020. Search in Google Scholar

[10] A. Aftab and X. Luan, “A fuzzy-pid series feedback self-tuned adaptive control of reactor power using nonlinear multipoint kinetic model under reference tracking and disturbance rejection,” Annals of Nuclear Energy, vol. 166, p. 108696, 2022. Search in Google Scholar

[11] G. Bao, Z. Zeng, and Y. Shen, “Region stability analysis and tracking control of memristive recurrent neural network,” Neural Netw., vol. 98, pp. 51–58, 2018. Search in Google Scholar

[12] L. Li, Z. Chen, and Y. Wang, “Robust task-space tracking for free-floating space manipulators by cerebellar model articulation controller,” Emerald Publishing Limited, vol. 39, pp. 26–33, 2019. Search in Google Scholar

[13] Y. Pan and G.-H. Yang, “Event-based output tracking control for fuzzy networked control systems with network-induced delays,” Applied Mathematics and Computation, vol. 346, pp. 513–530, 2019. Search in Google Scholar

[14] C. Liu, G. Luo, Z. Chen, W. Tu, and C. Qiu, “A linear adrc-based robust high-dynamic double-loop servo system for aircraft electro-mechanical actuators,” Chinese Journal of Aeronautics, vol. 32, no. 9, pp. 2174–2187, 2019. Search in Google Scholar

[15] F. Doostdar and H. Mojallali, “An adrc-based backstepping control design for a class of fractional-order systems,” ISA Transactions, 2021. Search in Google Scholar

[16] Y. Zhang, Z. Chena, M. Suna, and X. Zhangb, “Trajectory tracking control of a quadrotor uav based on sliding mode active disturbance rejection control,” Nonlinear Analysis: Modelling and Control, vol. 24, no. 4, pp. 545–560, 2019. Search in Google Scholar

[17] J.-J. Yan, G.-H. Yang, and X.-J. Li, “Fault detection in fiinite frequency domain for t-s fuzzy systems with partly unmeasurable premise variables,” Fuzzy Sets and Systems, vol. 421, pp. 158–177, 2021. Search in Google Scholar

[18] C. Han, G. Zhang, L. Wu, and Q. Zeng, “Sliding mode control of t–s fuzzy descriptor systems with time-delay,” Journal of the Franklin Institute, vol. 349, no. 4, pp. 1430–1444, 2012. Search in Google Scholar

[19] W. Zheng, H. Wang, H. Wang, and S. Wen, “Stability analysis and dynamic output feedback controller design of t–s fuzzy systems with timevarying delays and external disturbances,” Journal of Computational and Applied Mathematics, vol. 358, pp. 111–135, 2019. Search in Google Scholar

[20] J. Wang, S. Ma, and C. Zhang, “Finite-time H_∞ control for t–s fuzzy descriptor semi-markov jump systems via static output feedback,” Fuzzy Sets and Systems, vol. 365, pp. 60–80, 2019. Search in Google Scholar

[21] H. Schulte and K. Guelton, “Descriptor modelling towards control of a two link pneumatic robot manipulator: A t–s multimodel approach,” Nonlinear Analysis: Hybrid Systems, vol. 3, no. 2, pp. 124–132, 2009. Search in Google Scholar

[22] H.-N. Wu, Z.-P. Wang, and L. Guo, “Disturbance observer based reliableH_∞ fuzzy attitude tracking control for Mars entry vehicles with actuator failures,” Aerospace Science and Technology, vol. 77, pp. 92–104, 2018. Search in Google Scholar

[23] H.-N. Wu, S. Feng, Z.-Y. Liu, and L. Guo, “Disturbance observer based robust mixed H₂/H_∞ fuzzy tracking control for hypersonic vehicles,” Fuzzy Sets and Systems, vol. 306, pp. 118–136, 2017. Search in Google Scholar

[24] J. Dong and S. Wang, “Robust H_∞-tracking control design for t–s fuzzy systems with partly immeasurable premise variables,” Journal of the Franklin Institute, vol. 354, no. 10, pp. 3919–3944, 2017. Search in Google Scholar

[25] G. Scorletti, V. Fromion, and S. De Hillerin, “Toward nonlinear tracking and rejection using lpv control,” IFAC-PapersOnLine, vol. 48, no. 26, pp. 13–18, 2015. Search in Google Scholar

[26] R. Maiti, K. Das Sharma, and G. Sarkar, “Linear consequence-based fuzzy parallel distributed compensation tl₁ adaptive controller for two link robot manipulator,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 66, no. 10, pp. 3978–3990, 2019. Search in Google Scholar

[27] E. F. Stephen Boyd, Laurent El Ghaoui and V. Balakrishnan, “Linear matrix inequalities in system and control theory,” pp. 154–155, 1994. Search in Google Scholar

[28] J. He, F. Xu, X. Wang, and B. Liang, “Admissibility analysis and robust stabilization via state feedback for uncertain t-s fuzzy descriptor systems,” pp. 1–8, 2020. Search in Google Scholar

[29] J. Li, Q. Zhang, X.-G. Yan, and S. K. Spurgeon, “Observer-based fuzzy integral sliding mode control for nonlinear descriptor systems,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 5, pp. 2818–2832, 2018. Search in Google Scholar

[30] K. Lochan and B. K. Roy, “Control of two-link 2- dof robot manipulator using fuzzy logic techniques: A review,” Proceedings of Fourth International Conference on Soft Computing for Problem Solving, vol. 335, pp. 499–511, 2014. Search in Google Scholar