Robust ripple-free output regulation and tracking under structured or unstructured parameter uncertainties

Author(s):  
Osvaldo Maria Grasselli ◽  
Laura Menini ◽  
Paolo Valigi
1982 ◽  
Author(s):  
Erol Emre ◽  
A. Ozguler ◽  
Pramod Khargonekar

Author(s):  
Zhaowu Ping ◽  
Yang Song ◽  
Yaoyi Li ◽  
Yunzhi Huang ◽  
Jun-Guo Lu

It is well known that the position tracking control problem of permanent magnet synchronous motor (PMSM) is a challenging task when parameter uncertainties and time-varying load torque disturbances are taken into account. In this paper, a two-step controller design strategy composed of triple-loop control and internal model control is proposed to achieve a wide range of position tracking control of PMSM, where the reference position can be a relatively large value. In contrast, only local position tracking control problem has been solved by an internal model approach from output regulation theory in the recent work. In addition to the simulation results, the first experimental study is conducted to demonstrate the effectiveness of the proposed two-step control method. It is worth mentioning that our design can guarantee precise position tracking with a wide position range despite parameter uncertainties and time-varying load torque disturbances.


2015 ◽  
Vol 9 (4) ◽  
pp. 252-258
Author(s):  
Carlos M.N. Velosa ◽  
Kouamana Bousson

Abstract The problem of output regulation deserves a special attention particularly when it comes to the regulation of nonlinear systems. It is well-known that the problem is not always solvable even for linear systems and the fact that some demanding applications require not only magnitude but also rate actuator constraints makes the problem even more challenging. In addition, real physical systems might have parameters whose values can be known only with a specified accuracy and these uncertainties must also be considered to ensure robustness and on the other hand because they can be crucial for the type of behaviour exhibited by the system as it happens with the celebrated chaotic systems. The present paper proposes a robust control method for output regulation of chaotic systems with parameter uncertainties and subjected to magnitude and rate actuator constraints. The method is an extension of a work recently addressed by the same authors and consists in decomposing the nonlinear system into a stabilizable linear part plus a nonlinear part and in finding a control law based on the small-gain principle. Numerical simulations are performed to validate the effectiveness and robustness of the method using an aeronautical application. The output regulation is successfully achieved without exceeding the input constraints and stability is assured when the parameters are within the specified intervals. Furthermore, the proposed method does not require much computational effort because all the control parameters are computed offline.


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