Discrete sliding mode controller design based on the LQR suboptimal approach with application on ac servo motor

Abstract A systematic and simple discrete sliding mode controller design scheme based on the suboptimal approach is presented. The behaviors of the control system can be determined through a preferred performance index. The AC servomotor position control is obtained using only the q‐axis voltage control loop. The proposed method is simulated and experimented with to verify the capability of this new sliding mode control algorithm. Properties such as easy implementation, fast response, and robustness with relation to external loads are demonstrated.

[1]  Wu-Chung Su,et al.  Constructing discontinuity surfaces for variable structure systems: A Lyapunov approach , 1996, Autom..

[2]  Wu-Chung Su,et al.  An O(T2) boundary layer in sliding mode for sampled-data systems , 2000, IEEE Trans. Autom. Control..

[3]  Euntai Kim,et al.  Design of a sliding mode controller with fuzzy sliding surfaces , 1998 .

[4]  H. Elmali,et al.  Sliding mode control with perturbation estimation (SMCPE): a new approach , 1992 .

[5]  B. Draenovi.  The invariance conditions in variable structure systems , 1969 .

[6]  Frank L. Lewis,et al.  Optimal Control , 1986 .

[7]  G. E. Taylor,et al.  Computer Controlled Systems: Theory and Design , 1985 .

[8]  Asif Sabanovic,et al.  Sliding mode control of AC drives , 1989 .

[9]  Ju-Jang Lee,et al.  Design of new time-varying sliding surface for robot manipulator using variable structure controller , 1993 .

[10]  Kamal Youcef-Toumi,et al.  A Time Delay Controller for Systems with Unknown Dynamics , 1988, 1988 American Control Conference.

[11]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[12]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[13]  Vadim I. Utkin,et al.  Application of sliding mode control using reduced order model in induction motor , 1992, PESC '92 Record. 23rd Annual IEEE Power Electronics Specialists Conference.

[14]  D. B. Izosimov,et al.  New approaches to solve digital control synthesis problems and advanced pulsewidth modulation algorithms for AC drives applications , 1998, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200).

[15]  K. Shinohara,et al.  Comparison between space vector modulation and subharmonic methods for current harmonics of DSP-based permanent-magnet AC servo motor drive system , 1996 .

[16]  Zhang Yan,et al.  Sensorless sliding-mode control of induction motors , 2000, IEEE Trans. Ind. Electron..

[17]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis , 2000, IEEE Trans. Autom. Control..

[18]  S. Billings,et al.  Analysis and design of variable structure systems using a geometric approach , 1983 .

[19]  C. Dorling,et al.  Two approaches to hyperplane design in multivariable variable structure control systems , 1986 .

[20]  D. Izosimov,et al.  Digital vector control algorithm for induction motor torque drive , 2002, IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02.

[21]  K.B. Mohanty.  Sensorless sliding mode control of induction motor drives , 2008, TENCON 2008 - 2008 IEEE Region 10 Conference.

[22]  Yong Fang,et al.  Use of a recurrent neural network in discrete sliding-mode control , 1999 .