Fixed Time Bounded Control of PMSM Chaotic Systems without Initial State Constraints
Permanent magnet synchronous motor(PMSM)is a multivariable and highly coupled nonlinear system,which is subject to chaotic oscillations during practical operation.In order to suppress the chaos of the PMSM system,a fixed-time bounded controller without initial state constraints is designed,which can make the system reach a stable state within 2.8 s.Firstly,the virtual controller is designed according to the virtual errors of each subsystem of the PMSM system,and the controller is derived by backstepping to have high anti-interference performance and robustness.Secondly,it is proved that the time-varying feedback parameter ensures that the system achieves asymptotic stabilization while arriving at the finite-time convergence,and the stabilization time is only related to the prescribed boundary.Finally,numerical simulations are carried out by adjusting the control coefficients k so that the system can reach stability quickly under different initial states,and it is verified that the designed controller is able to make the system reach asymptotic stability and the output converge to the given boundary regardless of the initial state of the system.
PMSMchaotic oscillationchaotic controlstable state
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