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Switched Systems

In: Analysis and Design of Nonlinear Control Systems

Author

Listed:
  • Daizhan Cheng

    (Chinese Academy of Sciences, Academy of Mathematics & Systems Science)

  • Xiaoming Hu

    (Royal Institute of Technology, Optimization and Systems Theory)

  • Tielong Shen

    (Sophia University, Department of Engineering and Applied Sciences)

Abstract

As the simplest hybrid system a switched system has many industrial backgrounds and engineering applications. Theoretically, it is also challenging: Switching adds complexity, and at the same time provides more freedom for control design. This chapter considers switched affine (control) systems. Section 15.1 investigates the problem of common quadratic Lyapunov function. It provides a tool for stability analysis and stabilization of switched linear systems. Section 15.2 gives a necessary and sufficient condition for quadratic stabilization of planar switched linear systems. Controllability of switched linear and bilinear control systems are studied in Sections 15.3 and 15.4 respectively. As an application, Section 15.5 considers the consensus of multi-agent systems.

Suggested Citation

  • Daizhan Cheng & Xiaoming Hu & Tielong Shen, 2010. "Switched Systems," Springer Books, in: Analysis and Design of Nonlinear Control Systems, chapter 0, pages 431-508, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11550-9_15
    DOI: 10.1007/978-3-642-11550-9_15
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