Stabilization of Saturated Switching Systems with Uncertainties

Stabilization of Saturated Switching Systems with Polytopic Uncertainties

The objective of this section is to extend the results of Chapter VI to uncertain switching systems subject to actuator saturations. The uncertainty type considered in this work is the polytopic one. This type of uncertainty was also studied, without saturation, in [98]. Other works were interested in different problems for uncertain switched systems in [117, 122]. Thus, in this work, two directions are explored: the first concerns the synthesis of non-saturating controllers, while the second direction deals with controllers tolerating saturations to take effect under polytopic uncertainties. The main results of this section are published in [30, 32].