Abstract
In this article a novel robust controller for the control of switched nonlinear systems with asynchronous switching is proposed considering state delays. The proposed approach improves the actual methodologies found in literature in which the disturbance rejection properties of these two methodologies consider a disturbance equal to zero but the proposed robust controller considers any kind of disturbances that makes this strategy to surpass other similar methodologies. The main objective is that the robust controller stabilizes the studied system in matched and unmatched modes considering the dwell time in order to obtain an exponentially stable closed loop system. Another characteristic of the proposed control strategy is that a conmutative control law in both matched and unmatched cases is designed with a linear part, where the gain matrices for the linear part are obtained by linear matrix inequalities LMI’s along with a nonlinear controller part.
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References
Lian, J., Ge, Y.: Robust output tracking control for switched systems under asynchronous switching. Nonlinear Anal. Hybrid Syst. 8, 57–68 (2013)
Liu, H., Shen, Y., Zhao, X.: Asynchronous finite-time control for switched linear systems via mode-dependent dynamic state-feedback. Nonlinear Anal. Hybrid Syst. 8, 109–120 (2013)
Zhang, L., Gao, H.: Asynchronously switched control of switched linear systems with average dwell time. Automatica 46, 953–958 (2010)
Wang, Y.E., Sun, X.M., Wu, B.: Lyapunov Krasovskii functionals for switched nonlinear input delay systems under asynchronous switching. Automatica 61, 126–133 (2015)
Wang, Y.E., Sun, X.M., Zhao, J.: Asynchronous H \(\infty \) control of switched delay systems with average dwell time. J. Franklin Inst. 349, 3159–3169 (2012)
Zhai, S., Yang, X.S.: Exponential stability of time-delay feedback switched systems in the presence of asynchronous switching. J. Franklin Inst. 350, 0016–0032 (2013)
Zhengrong, X., Chen, Q., Huang, S., Xiang, Z.: Robust L \(\infty \) reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. Appl. Math. Comput. 222, 658–670 (2013)
Zheng, Q., Zhang, H., Huang, S., Xiang, Z.: Asynchronous H \(\infty \) fuzzy control for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach. Neurocomputing 182, 0925–2312 (2016)
Azar, A.T., Serrano, F.E.: Deadbeat control for multivariable discrete time systems with time varying delays. In: Azar, A.T., Vaidyanathan, S. (eds.) Chaos Modeling and Control Systems Design. SCI, vol. 581, pp. 97–132. Springer, Heidelberg (2015). doi:10.1007/978-3-319-13132-0_6
Azar, A.T., Serrano, F.E.: Adaptive sliding mode control of the furuta pendulum. In: Azar, A.T., Zhu, Q. (eds.) Advances and Applications in Sliding Mode Control systems. SCI, vol. 576, pp. 1–42. Springer, Heidelberg (2015). doi:10.1007/978-3-319-11173-5_1
Freeman, R.A., Kokotovic, P.V.: Robust Nonlinear Control Design State Space and Lyapunov Techniques. Birkhäuser Basel, Boston (1999)
Mekki, H., Boukhetala, D., Azar, A.T.: Sliding modes for fault tolerant control. In: Azar, A.T., Zhu, Q. (eds.) Advances and Applications in Sliding Mode Control systems. SCI, vol. 576, pp. 407–433. Springer, Heidelberg (2015). doi:10.1007/978-3-319-11173-5_15
Azar, A.T., Vashist, R., Vashishtha, A.: A rough set based total quality management approach in higher education. In: Zhu, Q., Azar, A.T. (eds.) Complex System Modelling and Control Through Intelligent Soft Computations. Studies in Fuzziness and Soft Computing, vol. 319, pp. 389–406. Springer, Heidelberg (2015)
Zhu, Q., Azar, A.T.: Anti-synchronization of identical chaotic systems using sliding mode control and an application to Vaidyanathan Madhavan chaotic systems. In: Azar, A.T., Zhu, Q. (eds.) Advances and Applications in Sliding Mode Control Systems. SCI, vol. 576, pp. 527–547. Springer, Heidelberg (2015)
Azar, A.T., Serrano, F.E.: Stabilization and control of mechanical systems with backlash. In: Handbook of Research on Advanced Intelligent Control Engineering and Automation. Advances in Computational Intelligence and Robotics (ACIR), vol. 575. IGI Global, USA (2015)
Azar, A.T., Serrano, F.E.: Design and modeling of anti wind up PID controllers. In: Zhu, Q., Azar, A.T. (eds.) Complex System Modelling and Control through Intelligent Soft Computations. Studies in Fuzziness and Soft Computing, vol. 319, pp. 1–44. Springer, Heidelberg (2015)
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Azar, A.T., Serrano, F.E. (2017). Robust Control for Asynchronous Switched Nonlinear Systems with Time Varying Delays. In: Hassanien, A., Shaalan, K., Gaber, T., Azar, A., Tolba, M. (eds) Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2016. AISI 2016. Advances in Intelligent Systems and Computing, vol 533. Springer, Cham. https://doi.org/10.1007/978-3-319-48308-5_85
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DOI: https://doi.org/10.1007/978-3-319-48308-5_85
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