Simultaneous external and internal stabilization in global framework of linear time-invariant discrete-time systems subject to actuator saturation is considered. Internal stabilization is in the sense of Lyapunov while external stabilization is in the sense of ℓp stability with different variations, e.g. with or without finite gain, with fixed or arbitrary initial conditions, with or without bias. Several simultaneous external and internal stabilization problems all in global framework are studied in depth, and appropriate adaptive low-and-high gain feedback controllers that achieve the intended simultaneous external and internal stabilization are constructed whenever such problems are solvable.
|Title of host publication||Proceedings of the American Control Conference, ACC 2011|
|Place of Publication||USA|
|Publisher||IEEE CONTROL SYSTEMS SOCIETY|
|Number of pages||6|
|Publication status||Published - Jun 2011|
|Event||2011 American Control Conference, ACC 2011 - San Francisco, United States|
Duration: 29 Jun 2011 → 1 Jul 2011
|Publisher||IEEE Control Systems Society|
|Conference||2011 American Control Conference, ACC 2011|
|Period||29/06/11 → 1/07/11|
Wang, X., Saberi, A., Stoorvogel, A. A., & Sannuti, P. (2011). Simultaneous global external and internal stabilization of linear time-invariant discrete-time systems subject to actuator saturation. In Proceedings of the American Control Conference, ACC 2011 (pp. 3808-3812). USA: IEEE CONTROL SYSTEMS SOCIETY.