Abstract
This paper addresses the fault tolerant control (FTC) problem for switched parabolic systems with process and boundary faults, described by partial differential equation (PDE). The boundary feedback controller is designed to guarantee the exponential stability of the systems. Both the accumulative and dissipative characteristics of faults are considered, respectively. Constructing the comparative system and using Lyapunov method, the non-switched parabolic systems are exponentially stable. The new result is further extended to the switched parabolic systems where the boundary controller in each mode and the switching law are designed comprehensively. It shows that the FTC goal can be achieved even if only some faulty modes are stabilizable. A heat propagation control of semiconductor power chips example is taken to illustrate the efficiency of obtained theoretical results.
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