stability and gain analysis of 𝐋𝟐 for non-small delay systems with input-output method on permanent magnet synchronous motor

stability and gain analysis of 𝐋𝟐 for non-small delay systems with input-output method on permanent magnet synchronous motor

in this paper, the drive efficiency of a permanent magnet synchronous motor with direct torque control is improved through a new delay-dependent adjusting structure. the proposed structure is based on the gain controller l2 non-small delay with input-output method, which is calculated with a feedback linear controller and by the small gain theorem, the upper l2 norm band of the system is calculated to ensure stability.

the law of linear feedback also compensates for the nonlinear effect of motor dynamics and makes it possible to use linear controllers for the flux and torque loops. the proposed hybrid structure is introduced by an indefinite delay and two delay modes with finite and unlimited variations are considered. the proposed method is based on lyapunov's theory and its coefficients are optimally designed, all of which together produce high torque at low speeds, reduce ripple flux and torque, and reduce current distortion in the motor drive. this method has been tested by simulation on a siemens engine and compared with other similar methods based on direct torque control.abstract appears before the keywords.