Abstract
Stabilization of SNS with unstable modes is a hot research topic that has important academic meaning as well as a practical one. This book has presented several recent methods and applications on this topic. In the presence of unstable behavior in each mode, the classic CLF/MLFs and dwell-time methods cannot be applied straightforwardly, and have to be modified.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Yang, H., Jiang, B., Staroswiecki, M.: Supervisory fault tolerant control for a class of uncertain nonlinear systems. Automatica 45(10), 2319–2324 (2009)
Yang, H., Cocquempot, V., Jiang, B.: On stabilization of switched nonlinear systems with unstable modes. Syst. Control Lett. 58(10–11), 703–708 (2009)
Yang, H., Jiang, B., Cocquempot, V., Zhang, H.: Stabilization of switched nonlinear systems with all unstable modes: applications to multi-agent systems. IEEE Trans. Autom. Control 56(9), 2230–2235 (2011)
Yang, H., Staroswiecki, M., Jiang, B., Liu, J.: Fault tolerant cooperative control for a class of nonlinear multi-agent systems. Syst. Control Lett. 60(4), 271–277 (2011)
Yang, H., Jiang, B., Zhang, H.: Stabilization of non-minimum phase switched nonlinear systems with application to multi-agent systems. Syst. Control Lett. 61(10), 1023–1031 (2012)
Yang, H., Jiang, B., Zhang, Y.M.: Tolerance of intermittent faults in spacecraft attitude control: switched system approach. IET Control Theory Appl. 6(13), 2049–2056 (2012)
Yang, H., Jiang, B., Cocquempot, V., Chen, M.: Spacecraft formation stabilizaton and fault tolerance: a state-varying switched system approach. Syst. Control Lett. 62(9), 715–722 (2013)
Yang, H., Jiang, B.: On stability of nonlinear and switched parabolic systems. IET Control Theory Appl. 7(5), 749–756 (2013)
Yang, H., Jiang, B., Cocquempot, V., Aitouche, A.: On stability of nonlinear hyperbolic systems with reaction and switching, Prof. of 2013 American Control Conference. Washington, USA (2013)
Yang, H., Jiang, B., Cocquempot, V.: Fault tolerant spacecraft attitude control by multiple control processors, In: 19th IFAC World Congress. Cape Town, South Africa (2014)
Aeyels, D., Peuteman, J.: On exponential stability of nonlinear time-varying differential equations. Automatica 35(6), 1091–1100 (1999)
Wang, W., Nešić, D.: Input-to-state stability and averaging of linear fast switching systems. IEEE Trans. Autom. Control 55(5), 1274–1279 (2010)
Kim, H., Shim, H., Back, J., Seo J.H.: Consensus of output-coupled linear multi-agent systems under fast switching network: averaging approach. Automatica 49(1), 267–272 (2013)
Lattanzio, C., Maurizi, A., Piccoli, B.: Moving bottlenecks in car traffic flow: a PDE-ODE coupled model. SIAM J. Math. Anal. 43(1), 50–67 (2011)
Morgül, Ö.: Orientation and stabilization of a flexible beam attached to a rigid body: planar motion. IEEE Trans. Autom. Control 36(9), 53–63 (1991)
Liu, B., Hill, D.J.: Decomposable dissipativity and related stability for discrete-time switched systems. IEEE Trans. Autom. Control 56(7), 1666–1671 (2011)
Zhai, G., Lin, H., Michel, A.N., Yasuda, K.: Stability analysis for switched systems with continuous-time and discrete-time subsystems. In: Proceeding of the 2004 American Control Conference, Boston, Massachusetts, pp. 4555–4560 (2004)
Goebel, R., Sanfelice, R., Teel, A.R.: Hybrid dynamical systems. IEEE Control Syst. Mag. 29(2), 28–93 (2009)
R. Goebel, Sanfelice, R., Teel, A.R.: Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton University Press, Princeton (2012)
Valentino, M.C., Oliveira, V.A., Alberto, L.F.C., Sant’ Anna, D.A.: An extension of the invariance principle for dwell-time switched nonlinear systems. Syst. Control Lett. 61(4), 580–586 (2012)
Long, L., Zhao, J.: \(H^\infty \) control of switched nonlinear systems in p-normal form using multiple Lyapunov functions. IEEE Trans. Autom. Control 57(5), 1285–1291 (2012)
Liu, Y., Zhao, J.: Stabilization of switched nonlinear systems with passive and non-passive subsystems. Nonlinear Dyn. 67(3), 1709–1716 (2012)
Wang, Y., Gupta, V., Antsaklis, P.J.: On passivity of a class of discrete-time switched nonlinear systems. IEEE Trans. Autom. Control 59(3), 692–702 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Yang, H., Jiang, B., Cocquempot, V. (2014). Conclusion and Future Research Directions. In: Stabilization of Switched Nonlinear Systems with Unstable Modes. Studies in Systems, Decision and Control, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-07884-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-07884-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07883-0
Online ISBN: 978-3-319-07884-7
eBook Packages: EngineeringEngineering (R0)