A Design Method for Modified Smith Predictors for Non-Minimum-Phase Time-Delay Plants with Multiple Feedback-Connected Time-Delays

In this paper, we examine a design method for modified Smith predictors for non-minimum-phase time-delay plants with multiple feedback-connected time-delays. The Smith predictor is proposed by Smith to overcome time-delay and known as an effective time-delay compensator for a plant with large time-delay. The Smith predictor by Smith cannot be used for plants having an integral mode, because a step disturbance will result in a steady state error. Several papers considered the problem to design modified Smith predictors for unstable plants. However, no paper examines a design method for modified Smith predictors for non-minimum-phase time-delay plants with multiple feedback-connected time-delays. In this paper, we examine a design method for modified Smith predictors for non-minimum-phase time-delay plants with multiple feedback-connected time-delays.

[1]  T. Başar Feedback and Optimal Sensitivity: Model Reference Transformations, Multiplicative Seminorms, and Approximate Inverses , 2001 .

[2]  O. J. M. Smith,et al.  A controller to overcome dead time , 1959 .

[3]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[4]  P. Khargonekar Control System Synthesis: A Factorization Approach (M. Vidyasagar) , 1987 .

[5]  Graham C. Goodwin,et al.  A parameterization for the class of all stabilizing controllers for linear minimum phase plants , 1994, IEEE Trans. Autom. Control..

[6]  Kou Yamada,et al.  A Design Method for Smith Predictors for Minimum-Phase Time-Delay Plants , 1970 .

[7]  M. Matausek,et al.  A modified Smith predictor for controlling a process with an integrator and long dead-time , 1996, IEEE Trans. Autom. Control..

[8]  Masami Ito,et al.  A process-model control for linear systems with delay , 1981 .

[9]  C. C. Hang,et al.  A new Smith predictor for controlling a process with an integrator and long dead-time , 1994, IEEE Trans. Autom. Control..

[10]  P. B. Deshpande,et al.  Computer Process Control With Advanced Control Applications , 1988 .

[11]  Kou Yamada,et al.  The Parametrization for The Class of All Proper Stabilizing Controllers for Multiple-Input/Multiple-Output Minimum Phase Systems , 2006, First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06).

[12]  Takaaki Hagiwara,et al.  THE PARAMETRIZATION FOR THE CLASS OF ALL PROPER INTERNALLY STABILIZING CONTROLLERS FOR MULTIPLE-INPUT / MULTIPLE-OUTPUT MINIMUM PHASE SYSTEMS , 2009 .

[13]  Annraoi M. de Paor,et al.  Extension and partial optimization of a modified Smith predictor and controller for unstable processes with time delay , 1989 .

[14]  Kou Yamada,et al.  21302 A design method for stabilizing modified Smith predictors for non-minimum phase time-delay systems , 2007 .

[15]  Su Whan Sung,et al.  A modified Smith predictor with a new structure for unstable processes , 1999 .

[16]  Kou Yamada A Parameterization for the Class of All Proper Stabilizing Controllers for Linear Minimum Phase Systems , 2001 .

[17]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[18]  Eitaku Nobuyama,et al.  Parametrization of All Stabilizing Compensators in Time-Delay Systems , 1991 .

[19]  Keiji Watanabe,et al.  A process-model control for multivariable systems with multiple delays in inputs and outputs subject to unmeasurable disturbances , 1984 .

[20]  A. Paor A modified Smith predictor and controller for unstable processes with time delay , 1985 .

[21]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[22]  Eitaku Nobuyama,et al.  Spectrum assignment and parametrization of all stabilizing compensators for time-delay systems , 1990, 29th IEEE Conference on Decision and Control.