Reference Governor for Constrained Systems with Time-varying References

This paper proposes a reference governor construction method for constrained linear systems with time-varying references. The main advantage of this reference governor is to simultaneously consider fulfillment of constraint conditions and evaluation of tracking performance. To derive a condition for constraint fulfillment we adopt a concept of maximal output admissible sets, and to evaluate tracking performance the management problem of time-varying references is reduced into a convex quadratic programming problem. Finally, the reference governor is obtained in the form of a piecewise affine function of state and reference variables, using a multi-parametric programming technique. In addition, we demonstrate the effectiveness of reference governors by a numerical example of a practical DC position servomechanism with control constraints

[1]  Kiminao Kogiso,et al.  A performance improving off-line reference management for systems with state and control constraints , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[2]  Michael Athans,et al.  Design of feedback control systems for stable plants with saturating actuators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[3]  K. Kogiso,et al.  A reference governor in a piecewise state affine function , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[4]  Alberto Bemporad,et al.  An algorithm for multi-parametric quadratic programming and explicit MPC solutions , 2003, Autom..

[5]  Toshiharu Sugie,et al.  Reference management for closed loop systems with state and control constraints , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[6]  Toshiharu Sugie,et al.  Robust reference shaping of periodic trajectories for systems with state/input constraints using impulse and step responses , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[7]  S. Oh-Hara,et al.  Experimental evaluation of on-line reference governors for constrained systems , 2003, SICE 2003 Annual Conference (IEEE Cat. No.03TH8734).

[8]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..

[9]  Kenji Hirata,et al.  A reference governor in a piecewise state affine function: the implementation and validation , 2003, SICE 2003 Annual Conference (IEEE Cat. No.03TH8734).

[10]  Elmer G. Gilbert.  Linear Control Systems with Pointwise-in-Time Constraints: What Do We Do About Them? , 1992, 1992 American Control Conference.

[11]  K. Hirata,et al.  Set of admissible reference signals and control of systems with state and control constraints , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[12]  Yoshito Ohta,et al.  The maximal output admissible set for a class of uncertain systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[13]  Alberto Bemporad,et al.  Reference governor for constrained nonlinear systems , 1998, IEEE Trans. Autom. Control..

[14]  Kiminao Kogiso,et al.  A Reference Governor for Constrained Systems in a Block Representation , 2004 .

[15]  T. Sugie,et al.  Robust reference shaping of periodic trajectories for systems with state/input constraints , 2004, Proceedings of the 2004 IEEE International Conference on Control Applications, 2004..

[16]  Toshiharu Sugie,et al.  Reference shaping for uncertain systems with constraints and its experimental validation , 2003, Proceedings of the 2003 American Control Conference, 2003..

[17]  Y. Ohta,et al.  Exact Determinations of the Maximal Output Admissible Set for a Class of Nonlinear Systems , 2005, CDC 2005.

[18]  Ilya V. Kolmanovsky,et al.  Nonlinear tracking control in the presence of state and control constraints: a generalized reference governor , 2002, Autom..

[19]  Edoardo Mosca,et al.  Robust command governors for constrained linear systems , 2000, IEEE Trans. Autom. Control..

[20]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .

[21]  Alberto Bemporad,et al.  Fulfilling Hard Constraints in Uncertain Linear Systems by Reference Managing , 1998, Autom..