Partial-State Finite-Time Control of Chaos in Synchronous Reluctance Motor Based on Cascade-Connected System Theory

A new partial-state finite-time chaotic controller is proposed for synchronous reluctance motor based on cascade-connected system theory. First of all, a new concept of partial-state finite-time stability is introduced. Secondly, a simple analysis is carried out for the chaotic behavior of synchronous reluctance motor. Then, the controller is designed in detail based on cascade-connected system theory and finite-time stable theory. Sufficient condition for partial-state finite-time stability of the approach is derived. Finally, numerical simulation results illustrate the effectiveness of the designed controller.