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Output Feedback RHC of NCSs with Intermittent Measurements

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Robust Receding Horizon Control for Networked and Distributed Nonlinear Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 83))

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Abstract

This chapter studies the robust output feedback RHC problem for constrained linear system subject to periodical measurement losses and external disturbances. The overall robust output feedback receding horizon controller consists of a robust observer that can accommodate the lost measurement, and a new state feedback receding horizon controller fulfilling the input and state constraints. Based on the designed observer, the error bounds of the system state estimate are established. By incorporating the estimation error bounds and the external disturbances, the input and state constraints are augmented and further tightened for the new state feedback receding horizon controller. Furthermore, the iterative feasibility of the proposed robust output feedback RHC algorithm is proved. It is shown that the closed-loop system is asymptotically stable and the system state will periodically converge to several compact sets. Finally, simulation results and comparison studies are provided to verify effectiveness of the proposed robust output feedback RHC algorithm.

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Notes

  1. 1.

    The error trajectory sequence at \(k = 3(n-1)+1\) converges to the set E(1); the error trajectory sequence at \(k = 3(n-1)+2\) converges to the set E(2); the error trajectory sequence at \(k = 3(n-1)+3\) converges to the set E(3), \(n = 1,2,\cdots \).

  2. 2.

    The state trajectory sequence at k = 3(n-1)+1 converges to the set X(1); the state trajectory sequence at \(k = 3(n-1)+2\) converges to the set X(2); the state trajectory sequence at \(k = 3(n-1)+3\) converges to the set X(3), \(n = 1,2,\cdots \).

References

  1. Bemporad, A., Garulli, A.: Output-feedback predictive control of constrained linear systems via set-membership state estimation. Int. J. Control 73(8), 655–665 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Blanchini, F.: Set invariance in control. Automatica 35(11), 1747–1767 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chisci, L., Rossiter, J.A., Zappa, G.: Systems with persistent disturbances: predictive control with restricted constraints. Automatica 37(7), 1019–1028 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chisci, L., Zappa, G.: Feasibility in predictive control of constrained linear systems: the output feedback case. Int. J. Robust Nonlinear Control 12(5), 465–487 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  5. Famularo, D., Franzè, G.: Output feedback model predictive control of uncertain norm-bounded linear systems. Int. J. Robust Nonlinear Control 21(8), 838–862 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kolmanovsky, I., Gilbert, E.G.: Theory and computation of disturbance invariant sets for discrete-time linear systems. Math. Prob. Eng. 4(4), 317–367 (1998)

    Article  MATH  Google Scholar 

  7. Kouvaritakis, B., Rossiter, J.A., Schuurmans, J.: Efficient robust predictive control. IEEE Trans. Automatic Control 45(8), 1545–1549 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lee, Y.I., Kouvaritakis, B.: Receding horizon output feedback control for linear systems with input saturation. IEE Proc. Control Theory Appl. 148(2), 109–115 (2001)

    Article  Google Scholar 

  9. Li, H., Shi, Y.: Output feedback predictive control for constrained linear systems with intermittent measurements. Syst. Control Lett. 62(4), 345–354 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  10. Løvaas, C., Seron, M.M., Goodwin, G.C.: Robust output-feedback model predictive control for systems with unstructured uncertainty. Automatica 44(8), 1933–1943 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mayne, D.Q., Raković, S.V., Findeisen, R., Allgöwer, F.: Robust output feedback model predictive control of constrained linear systems. Automatica 42(7), 1217–1222 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  12. Mayne, D.Q., Raković, S.V., Findeisen, R., Allgöwer, F.: Robust output feedback model predictive control of constrained linear systems: time varying case. Automatica 45(9), 2082–2087 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  13. Mayne, D.Q., Rawlings, J.B., Rao, C.V., Scokaert, P.O.: Constrained model predictive control: stability and optimality. Automatica 36(6), 789–814 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  14. Mayne, D.Q., Seron, M.M., Raković, S.V.: Robust model predictive control of constrained linear systems with bounded disturbances. Automatica 41(2), 219–224 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  15. Ong, C.-J., Gilbert, E.G.: The minimal disturbance invariant set: Outer approximations via its partial sums. Automatica 42(9), 1563–1568 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  16. Raković, S.V., Kerrigan, E.C., Kouramas, K.I., Mayne, D.Q.: Invariant approximations of the minimal robust positively invariant set. IEEE Trans. Autom. Control 50(3), 406–410 (2005)

    Article  Google Scholar 

  17. Raković, S.V., Kerrigan, E.C., Mayne, D.Q., Kouramas, K.I.: Optimized robust control invariance for linear discrete-time systems: theoretical foundations. Automatica 43(5), 831–841 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, China

    Huiping Li

  2. Department of Mechanical Engineering, University of Victoria, Victoria, British Columbia, Canada

    Yang Shi

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  1. Huiping Li
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  2. Yang Shi
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Correspondence to Huiping Li .

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Li, H., Shi, Y. (2017). Output Feedback RHC of NCSs with Intermittent Measurements. In: Robust Receding Horizon Control for Networked and Distributed Nonlinear Systems. Studies in Systems, Decision and Control, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-319-48290-3_4

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  • DOI: https://doi.org/10.1007/978-3-319-48290-3_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48289-7

  • Online ISBN: 978-3-319-48290-3

  • eBook Packages: EngineeringEngineering (R0)

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