Controller Design for the Integral-Input-to-State Stabilization of Switched Nonlinear Systems: a Cycle Analysis Method

This paper considers the integral-input-to-state stabilization of a class of switched nonlinear systems, which consist of integral-input-to-state stable (IISS) subsystems and subsystems whose continuous states may eventually be unbounded even if integrals of the corresponding inputs are small. In general, a switched controller has two parts: local controllers for subsystems and their switching law. Here, a cycle analysis method is used to derive a switched controller for the integral-input-to-state stabilization of the considered system. The results obtained here extend our previous work in that all subsystems are not required to be IISS.