Fault Tolerant Control of Lipschitz Nonlinear Switched Delay Systems: A Model Predictive Control Scheme

Abstract

An important research gap in the field of switched systems is the design of fault tolerant control for Lipschitz non-linear delayed switched systems using a model predictive method. This study addresses this gap by taking into account the failure of the actuators and develops a fault-tolerant model predictive control technique for the non-linear delayed Lipschitz switched systems with arbitrary switching signal to asymptotically stabilize the closed-loop system. The non-convex optimization issue is phrased as a linear matrix inequality optimization problem and a set of novel stability criteria are derived by taking into account the cost function with infinite predictive horizon and input limitation and employing switched Lyapunov-Krasovskii functional. The success of the suggested scheme is then evaluated using a computer simulation of a system that causes water pollution. The results support the proposed scheme’s successful execution.

Keywords

• lipschitz non-linear delayed switched systems
• fault tolerant control
• model predictive control
• switched lyapunov-krasovskii functional
• arbitrary switching signal
• linear matrix inequality