Open Access

Feedback stabilization for one sided Lipschitz nonlinear systems in reciprocal state space: Synthesis and experimental validation


Cite

[1] S. R. Hamid, M. Sh. Nazir, M. Rehan, and H. Rashid, “New Results on Regional Observer-Based Stabilization for Locally Lipschitz Nonlinear Systems”, Chaos Solitons Fractals vol. 123, pp. 173–184, 2019.10.1016/j.chaos.2019.04.004Search in Google Scholar

[2] A. Thabet, G. B. H. Frej, and M. Boutayeb, “Observer-Based Feedback Stabilization for Lipschitz Nonlinear Systems with Extension to h Performance Analysis: Design Experimental Results”, IEEE Trans. Control Systems Technology vol. 26 pp. 321–328, 2018.10.1109/TCST.2017.2669143Search in Google Scholar

[3] N. Gasmi, M. Boutayeb, A. Thabet, and M. Aoun, “Enhanced lmi Conditions for Observer-Based h Stabilization of Lipschitz Discrete-Time Systems”, European Journal of Control vol.44, pp.80–89, 2018.10.1016/j.ejcon.2018.09.016Search in Google Scholar

[4] S. Mahapatra and B. Subudhi, “Design Experimental Realization of a Backstepping Nonlinear h Control for an Autonomous Underwater Vehicle using a Nonlinear Matrix Inequality Approach”, Transactions of the Institute of Measurement Control vol. 40 no. 11, pp. 3390–3403, 2018.10.1177/0142331217721315Search in Google Scholar

[5] P. Schmidt, J. A. Moreno, and A. Schaum, “Observer Design for a Class of Complex Networks with Unknown Topoloy”, World Congress The International Federation of Automatic Control, pp. 2812–2817, August 24-29, 2014, Cape Town, South Africa.10.3182/20140824-6-ZA-1003.01716Search in Google Scholar

[6] A. Iovine, S. B. Siad, G. Damm, E. D. Santis, and M. D. D. Benedetto, “Nonlinear Control of a dc Microgrid for the Integration of Photovoltaic Panels”, IEEE Trans. Automation Science Engineering vol. 14, pp. 524–535, 2017.10.1109/TASE.2017.2662742Search in Google Scholar

[7] D. P. Li, Y. J. Liu, S. Tong, C. L. P. Chen, and D. J. Li, “Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems with Input Delay”, IEEE Trans. on Cybernetics vol. 49, no. 4, pp. 1249–1258, 2019.10.1109/TCYB.2018.2799683Search in Google Scholar

[8] R. Sakthivel, P. Selvaraj, Y. Lim, and H. R. Karimi, “Adaptive Reliable Output Tracking of Networked Control Systems against Actuator Faults”, J. of the Franklin Institute vol. 354, pp. 3813–3837, 2017.10.1016/j.jfranklin.2016.06.022Search in Google Scholar

[9] Y. J. Liu, S. Lu, S. Tong, X. Chen, C. L. P. Chen, and D. J. Li, “Adaptive Control-Based Barrier Lyapunov Functions for a Class of Stochastic Nonlinear Systems with Full State Constraints”, Autmatica vol. 87, pp. 83–93, 2018.10.1016/j.automatica.2017.07.028Search in Google Scholar

[10] Y. J. Liu and S. Tong, “Barrier Lyapunov Functions for Nussbaum Gain Adaptive Control of Full State Constrained Nonlinear Systems”, Autmatica vol. 76, pp. 143–152, 2017.10.1016/j.automatica.2016.10.011Search in Google Scholar

[11] R. Wu, W. Zhang, F. Song, Z. Wu, and W. Guo, “Observer-Based Stabilization of One-Sided Lipschitz Systems with Application to Flexible LinkManipulator”, Advances in Mechanical Engineering vol. 7, pp. 1–8, 2015.10.1177/1687814015619555Search in Google Scholar

[12] C. M. Nguyen, P. N. Pathirana, and H. Trinh, “Robust Observer Observer-Based Control Designs for Discrete One-Sided Lipschitz Systems Subject to Uncertainties Disturbances”, Applied Mathematics Computation vol. 353, pp. 42–53, 2019.10.1016/j.amc.2019.01.064Search in Google Scholar

[13] P. G. S. Tian, “D-Type Iterative Learning Control for One Sided Lipschitz Nonlinear Systems”, Int. J, of Robust, Nonlinear Control doi.org/10.1002/rnc.4511:, 2019.Search in Google Scholar

[14] N. Gasmi, M. Boutayeb, A. Thabet, and M. Aoun, “Sliding Window Based Nonlinear h Filtering: Design Experimental Results”, IEEE Trans. on Cir. Syst. vol. 66, pp. 302–306, 2019.10.1109/TCSII.2018.2859484Search in Google Scholar

[15] A. Rastegari, M. M. Arefi, and M. H. Asemani, “Robust h Sliding Mode Observer Based Fault Tolerant Control for One Sided Lipschitz Nonlinear Systems”, Asian J. of Control, DOI: 10.1002/asjc.2062:, 2019.10.1002/asjc.2062:2019Open DOISearch in Google Scholar

[16] F. Chen, D. Lu, and X. Li, “Robust Observer Based Fault-Tolerant Control for One-Sided Lipschitz Markovian Jump Systems with General Uncertain Transition Rates”, Int. J, Control Autom. Syst. doi.org/10.1007/s12555-018-0432-z:, 2019.10.1007/s12555-018-0432-z:2019Open DOISearch in Google Scholar

[17] Y. W. Tseng, “Vibration Control of Piezoeletric Smart Plate using Estimated State Derivatives Feedback in Reciprocal State Space Framework”, Int. J. of Control Theory Applications vol. 2, pp. 61–71, 2009.Search in Google Scholar

[18] E. Boukas, “Static Output Feedback Control for Linear Descriptor Systems: LMI Approach”, IEEE Int. Conf. on Mechatronics Automations, pp. 1230–1234, July 20-August 1, 2005, Niagara Falls, Ontario, Canada, 2005.Search in Google Scholar

[19] S. Fallah, A. Khajepour, B. Fidan, S. K. Chen, and B. Litkouhi, “Vehicle Optimal Torque Vectoring using State-Derivative Feed-back Linear Matrix Inequality”, IEEE Trans. Vehicular Technology vol. 2, pp. 1540–1552, 2013.10.1109/TVT.2012.2232947Search in Google Scholar

[20] Assem Thabet, “Adaptive-State Feedback Control for Lipschitz Nonlinear Systems in Reciprocal-State Space: Design Experimental Results”, Proc. IMechE Part I: J. Systems and Control Engineering vol. 233, no. 2, pp. 144–152, 2019.10.1177/0959651818786374Search in Google Scholar

[21] Y. W. Tseng, “Control Design for System with Lipschitz Non-linarity of State Derivative Variables in Reciprocal State Space Form”, Int. Conf. on Image Processing Electrical Computer Engineering, pp. 26–32, July 8-9, 2015 Singapore, 2015.Search in Google Scholar

[22] Y.W. Tseng, “Sliding Mode Control with State Derivative Feed-back in Novel Reciprocal State Space Form”, Advances Applications in Nonlinear Control Systems vol. 635, pp. 159–184, 2016.10.1007/978-3-319-30169-3_9Search in Google Scholar

[23] Y.W. Tseng, “Control Designs of Singular Systems Expressed in Reciprocal State Space Framework with State Derivative Feed-back”, Int. J. of Control Theory Applications vol. 01, pp. 55–67, 2008.Search in Google Scholar

[24] Yuan-wei Tseng, “Stability”, Proc. American Control Conf. page doi: 10.1109/ACC.2003.1242535, 4-6 June,2003, Denver, CO, USA, 2003.10.1109/ACC.2003.1242535,4-620032003Open DOISearch in Google Scholar

[25] S. K. Kwak, G. Washington, R. K. Yedavalli, “Acceleration feedback Based Active and Passive Vibration Control of Landing Gear Components”, Journal of Aerospace Engineering vol. 15, pp. 1–9, 2002.10.1061/(ASCE)0893-1321(2002)15:1(1)Search in Google Scholar

[26] C. Aboky, G. Sallet, and J. C. Vivalda, “Observers for Lipschitz Non-Linear Systems”, International Journal of Control vol. 75, pp. 204–212, 2002.10.1080/00207170110107256Search in Google Scholar

[27] N. Gasmi, A. Thabet, M. Boutayeb, and M. Aoun, “Observer Design for a Class of Nonlinear Discrete Time Systems”, IEEE Int. Conf. on Sciences Techniques of Automatic Control Computer Engineering, pp. 799–804, December 21–23, 2015, Monastir, Tunisia, 2015.10.1109/STA.2015.7505084Search in Google Scholar

[28] A. Thabet, M. Boutayeb, and M. N. Abdelkrim, “Real-time fault-voltage estimation for nonlinear dynamic power systems”, International Journal of Adaptive Control and Signal Processing, vol. 30, no. 2, pp. 284–2964, 2016.10.1002/acs.2592Search in Google Scholar

eISSN:
1339-309X
Language:
English
Publication timeframe:
6 times per year
Journal Subjects:
Engineering, Introductions and Overviews, other