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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 193))

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Abstract

Properties of nested saturation are defined as for a poset to be the existence of a sequence of chain partitions in [142]. Nested saturation will arise if an actuator is subject to magnitude and rate saturation simultaneously [3]. A nested saturation function method is inherently improved to develop a controller, without requirements on memory of past input and prior information of time-varying delays [123]. A saturation-based switching anti-windup design has been proposed to enlarge the DoA for a linear system subject to nested saturation [69]. Both sensor and actuator amplitude limitations can lead to nested saturation for a closed-loop system [129]. A nested nonlinear feedback law has been given for global stabilization of a multiple integrators system [196]. Some problems on characterizing quadratic stability for hybrid systems with nested saturation have been addressed in [31]. In [112], nested saturation-based control has been also considered for actuated knee joint orthosis.

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References

  1. A. Bateman, Z. Lin, An analysis and design method for linear systems under nested saturation. Syst. Control Lett. 48(1), 41–52 (2003)

    Article  MathSciNet  Google Scholar 

  2. M. Fiacchini, S. Tarbouriech, C. Prieur, Quadratic stability for hybrid systems with nested saturations. IEEE Trans. Autom. Control 57(7), 1832–1838 (2012)

    Article  MathSciNet  Google Scholar 

  3. Y. Li, Z. Lin, Saturation-based switching anti-windup design for linear systems with nested input saturation. Automatica 50(11), 2888–2896 (2010)

    Article  MathSciNet  Google Scholar 

  4. H. Rifai, S. Mohammed, W. Hassani, Y. Amirat, Nested saturation based control of an actuated knee joint orthosis. Mechatronics 23(8), 1141–1149 (2013)

    Article  Google Scholar 

  5. Z. Song, Z. Sun, S. Yang, T. Li, Global stabilization via nested saturation function for high-order feedforward nonlinear systems with unknown time-varying delays. Int. J. Robust Nonlinear Control 26(15), 3363–3387 (2016)

    Article  MathSciNet  Google Scholar 

  6. S. Tarbouriech, C. Prieur, J. Silva, Stability analysis and stabilization of systems presenting nested saturations. IEEE Trans. Autom. Control 51(8), 1364–1371 (2006)

    Article  MathSciNet  Google Scholar 

  7. D. West, Unichain coverings in partial orders with the nested saturation property. Discret. Math. 63(2), 297–303 (1987)

    Article  MathSciNet  Google Scholar 

  8. B. Zhou, Analysis and design of discrete-time linear systems with nested actuator saturations. Syst. Control Lett. 62(10), 871–879 (2013)

    Article  MathSciNet  Google Scholar 

  9. B. Zhou, G. Duan, A novel nested non-linear feedback law for global stabilization of linear systems with bounded controls. Int. J. Control 81(9), 1352–1363 (2008)

    Article  Google Scholar 

  10. B. Zhou, W. Zheng, G. Duan, An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation. Automatica 47(2), 306–315 (2011)

    Article  MathSciNet  Google Scholar 

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Yang, H., Xia, Y., Geng, Q. (2019). Analysis for Nested Actuator Saturation . In: Analysis and Synthesis of Delta Operator Systems with Actuator Saturation. Studies in Systems, Decision and Control, vol 193. Springer, Singapore. https://doi.org/10.1007/978-981-13-3660-7_7

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