Adaptive Control Design for Permanent Magnet Synchronous Motor with Uncertain Parameters: An LMI Approach

In this paper, an adaptive control scheme is proposed for the permanent magnet synchronous motor (PMSM) with uncertain parameters using an LMI approach. The adaptive control scheme is used to compensate some uncertain terms in the PMSM drive system. In this study, a novel formulation for the uncertain PMSM drive system is developed. By the formulation, the stability condition for the closed-loop uncertain PMSM drive system with the proposed controllers can be characterized in terms of some linear matrix inequalities (LMIs). The LMIs problem (LMIP) can be efficiently solved. Numerical solutions for the control gains and simulation results are provided to illustrate the design procedure and the performances. In opposition to try and error, the control gains in both speed loop and current loop can be obtained systematically by solving the corresponding LMIs. The proposed method is simple and is suitable for practical control design in motor drive.