TS fuzzy reconfiguration blocks for fault tolerant control of nonlinear systems

Resumo

Resumo

Abstract This paper introduces a new Takagi–Sugeno (TS) reconfiguration block structure for control reconfiguration of nonlinear systems with sensor and actuator faults represented by TS models and provides conditions for the existence of such blocks that ensures the stability recovery by fault hiding. The proposed reconfiguration block structure consists of a convex sum of linear transformations of the control signals and the sensor measurements hiding the fault occurrence from the nominal controller. Similar static reconfiguration blocks were previously proposed in the literature, however the conditions for their feasibility are more restrictive. This paper presents novel conditions based on the Lyapunov stability theory for obtaining those TS reconfiguration blocks for stability recovery after actuator and sensor faults. These conditions are obtained by assuming that the Lyapunov function that ensures the stability of fault-free closed-loop TS system is a valid Lyapunov candidate for the reconfigured TS system under faulty conditions. In particular, stability recovery conditions for nonlinear systems represented by TS models with nonlinear consequent and networked TS models are provided. Simulation results for a power system and a network of pendulum systems are used to illustrate the effectiveness of the proposed reconfiguration block.

palavras-chave

Palavras-chave

Takagi-Sugeno fuzzy modelcontrol reconfigurationfault-tolerant controlsensor faultsactuator faultsLyapunov stabilitynonlinear systemspower systemspendulum system

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