MRAS identification of permanent magnet synchronous motor parameters

Dynamic output feedback control for desired motion tracking on synchronous motors

“…Therefore, remarkable relevance of high‐performance motion control of the synchronous motor can be immediately inferred. Synchronous motors have been driven by different conventional control techniques . It has been a practice to assume constant mechanical load quantities in classical control design.…”

“…It has been a practice to assume constant mechanical load quantities in classical control design. Nevertheless, high‐efficiency model‐based conventional control strategies commonly depend on accurate information of motor parameters . Parameter variation effects on permanent‐magnet synchronous motor control have been investigated in Pairo et al Online estimation methods of system parameters and mechanical load torque can be designed for situations where accurate mathematical models of electric machines are available .…”

“…Nevertheless, high-efficiency model-based conventional LIST OF SYMBOLS AND ABBREVIATIONS: , mechanical angular velocity; i d , direct-axis electric current signal; i q , quadrature-axis electric current signal; u d , direct-axis stator voltage; u q , quadrature-axis stator voltage; L , load torque; t 0 , initial time; x, state vector of the synchronous motor; u, control input vector; f, vector function; J, inertia moment; b, viscous damping; R s , stator resistance; L d , direct-axis inductance; L q , quadrature-axis inductance; m , permanent-magnet magnetic flux; n p , number of pole pairs; 1 , output velocity signal; 2 , output electric current signal; ⋆ 1 , desired velocity reference trajectory; ⋆ 2 , desired electric current trajectory; e q , velocity tracking error; e d , electric current tracking error; z, state vector of tracking error dynamics; z 1 , z 2 , z 3 , components of the state vector z; V(z), Lyapunov function candidate; u ⋆ d u ⋆ q , reference trajectories of control inputs; y q , y d , control input gains;̃q,̃d, approximate values of control input gains; r, order of Taylor polynomial; q , d , uncertainty signals; P q,C , P d,C , closed-loop characteristic polynomials; i,j , control gains; in , initial velocity; , desired operating velocity; [t 1 , t 2 ], time interval of the Bézier motion planning; ⋆ , Bézier reference trajectory for angular velocity; A, B, Jacobian matrices of the linear mathematical model; x, equilibrium point in the state space; u, equilibrium control input vector; i d , i q , , ; x , u , state and control vectors of the linear model; control strategies commonly depend on accurate information of motor parameters. 6,7 Parameter variation effects on permanent-magnet synchronous motor control have been investigated in Pairo et al 8 Online estimation methods of system parameters and mechanical load torque can be designed for situations where accurate mathematical models of electric machines are available. 9 Estimated parameters and torque can be used for implementation of traditional control techniques on electric motors, which are mainly synthesized for asymptotic regulation around a desired operating equilibrium point.…”

Permanent Synchron Magnet Motor Speed Observer Based on Least Squares Support Vector Machine Regression

“…This can be done by identifying the PMSM rotation speed based on other parameters, such as voltage, flux and stator current, also known as motor speed observer [2]. Several rotation speed observer methods have been developed for PMSM, such as kalman filter observer [3], flux observer and Model Reference Adaptive System (MRAS) observer [4] [5].…”

“…The advantages of MRAS obsrver are less complex, more effective than another observer methods and easier to implement [5]. MRAS observer consists of adaptive models, reference models and adaptation mechanisms [4]. The adaptation mechanism of the MRAS observer is usually implemented with various control methods, such as PI control, sliding mode and intelligent control system.…”