Robust observer-driven switching stabilization of switched linear systems

In this work, we study the robust observer-driven switching stabilization problem of switched linear systems. Under the condition that each subsystem is completely observable, with the observer-driven switching law which makes the system exponentially stable for the nominal system, we prove that the overall system is robust against structural/switching perturbations and is input/output to state stable for unstructural perturbations.

[1]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[2]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[3]  S. Pettersson.  Synthesis of switched linear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[4]  S. Ge,et al.  Switched Linear Systems: Control and Design , 2005 .

[5]  David Angeli,et al.  Nonlinear norm-observability notions and stability of switched systems , 2005, IEEE Transactions on Automatic Control.

[6]  Shuzhi Sam Ge,et al.  Switched Linear Systems , 2005 .

[7]  George J. Pappas,et al.  Observability of Switched Linear Systems in Continuous Time , 2005, HSCC.

[8]  Zhendong Sun,et al.  Combined stabilizing strategies for switched linear systems , 2006, IEEE Trans. Autom. Control..

[9]  S. Ge,et al.  On stability of switched linear systems with perturbed switching paths , 2006 .

[10]  Hai Lin,et al.  Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems , 2007, IEEE Transactions on Automatic Control.

[11]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[12]  Guangming Xie,et al.  Periodic stabilizability of switched linear control systems , 2009, Autom..

[13]  Daniel Liberzon,et al.  Input/output-to-state stability of switched nonlinear systems , 2010, Proceedings of the 2010 American Control Conference.

[14]  S. Ge,et al.  Stability Theory of Switched Dynamical Systems , 2011 .

[15]  Jun Wu,et al.  Observer-driven switching stabilization of switched linear systems , 2011, 2011 IEEE International Symposium on Intelligent Control.

[16]  Zhendong Sun.  Robust switching of discrete-time switched linear systems , 2012, Autom..