Dissipativity of Switched Systems With Application to Supervisory Fault Tolerant Control

This paper develops the dissipativity theory for switched systems and proposes a “global dissipativity” concept which means that the total energy stored by the system is less than the total energy supplied from the outside. This result is applied to the design of a novel supervisory fault tolerant control scheme for non-switched systems, which relies on a simple dissipativity-based switching among a family of pre-computed candidate controllers without any additional model or filter. The states are ensured to be bounded during the switching delay. A RLC circuit example illustrates the efficiency of the proposed method.