Stability Analysis for LTI Control Systems with Controller Failures and Its Application in Failure Tolerant Control

In this technical note, the stability and failure tolerant control are investigated for linear time-invariant (LTI) control systems with occasional controller failures. At first, a collection of non-convex sufficient conditions ensuring the closed loop to be globally asymptotically stable is presented, which are simple to use but difficult to consider for control purpose. To overcome this, a time-scheduled Lyapunov function approach is considered and alternative convex conditions are obtained. Based on this result, a time-dependent failure-tolerant controller is designed. The approach is finally illustrated on a networked control system.