Trajectory tracking and disturbance rejection for linear time-varying systems: Input/output representation

This paper considers the problem of asymptotic trajectory tracking and/or disturbance rejection for linear time-varying systems via input/output representation. Inspired by the structure of repetitive control, a novel feedback mechanism is proposed based on which the necessary and sufficient condition for the problem is derived. This condition is a generalization to the time-varying case of the result in time-invariant setting. Based on the complete knowledge of the plant model, a design is provided and it is applicable to repetitive control for time-varying plants. An important feature of the proposed approach is that a systematic way of constructing time-varying internal model unit is provided.

[1]  Bin Zhang,et al.  Dual-mode structure digital repetitive control , 2007, Autom..

[2]  Akira Ichikawa,et al.  Output regulation of time-varying systems , 2006, Syst. Control. Lett..

[3]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[4]  Tsu-Chin Tsao,et al.  Laser beam raster scan under variable process speed - an application of time varying model reference repetitive control system , 2005, Proceedings, 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics..

[5]  Bin Zhang,et al.  Linear Phase Lead Compensation Repetitive Control of a CVCF PWM Inverter , 2008, IEEE Transactions on Industrial Electronics.

[6]  Masayoshi Tomizuka,et al.  Robust adaptive and repetitive digital tracking control and application to a hydraulic servo for noncircular machining , 1994 .

[7]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[8]  P. Khargonekar,et al.  Polynomial matrix-fraction representations for linear time-varying systems , 1986 .

[9]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[10]  Tsu-Chin Tsao,et al.  Repetitive control of linear time varying systems with application to electronic cam motion control , 2004, Proceedings of the 2004 American Control Conference.

[11]  E. Kamen,et al.  A transfer function approach to linear time-varying discrete-time systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[12]  Michio Nakano,et al.  High Accuracy Control of a Proton Synchrotron Magnet Power Supply , 1981 .

[13]  S. Hara,et al.  Repetitive control system: a new type servo system for periodic exogenous signals , 1988 .

[14]  A. Isidori.  Nonlinear Control Systems , 1985 .

[15]  Zongxuan Sun,et al.  Tracking or rejecting rotational-angle dependent signals using time varying repetitive control , 2004, Proceedings of the 2004 American Control Conference.

[16]  Yuen-Kwok Chin,et al.  Engine Dynamics: Time-Based Versus Crank-Angle Based , 1986 .

[17]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[18]  Masayoshi Tomizuka,et al.  Analysis and Synthesis of Discrete-Time Repetitive Controllers , 1989 .

[19]  Kameshwar Poolla,et al.  Stabilizability and stable-proper factorizations for linear time-varying systems , 1987 .

[20]  Petros A. Ioannou,et al.  Linear Time-Varying Systems: Control and Adaptation , 1992 .

[21]  A. Serrani,et al.  The Linear Periodic Output Regulation Problem , 2005, CDC/ECC.

[22]  George T.-C. Chiu,et al.  Spatially Periodic Disturbance Rejection With Spatially Sampled Robust Repetitive Control , 2008 .

[23]  Jinhua She,et al.  Elimination of position-dependent disturbances in constant-speed-rotation control systems , 1996 .

[24]  Ibrahim Haskara,et al.  Control of an electro‐mechanical valve actuator for a camless engine , 2004 .