Sage Journals: Discover world-class research

Abstract

This paper considers the problem of control system design for governing temperature profiles of a sprayform tooling process used in rapid manufacture. After describing and modelling the sprayforming process, the paper introduces the concept of steady-state functional controllability and investigates the degree up to which this process is controllable via multivariable controllers. In particular, the discrete time variant (DTV) linear quadratic regulators (LQR) are considered as examples of multivariable controllers. The theoretical issues outlined in this paper are accompanied by simulations and experimental studies of a real sprayforming process.

Keywords

discrete time linear quadratic regulator point-wise state controllability sprayform tooling steady state functional controllability

Get full access to this article

View all access options for this article.

References

Anderson , B.D.O. and Moore, J.B. 1989: Optimal control. Linear quadratic methods. Prentice-Hall Int. Inc.

Blondal , V.D. 1994: Simultaneous stabilization of linear systems. Lecture Notes in Control and Information Sciences. Springer-Verlag .

Butkovshiy , A. and Pustylnikov , L. 1997: Mobile control of distributed parameter systems. Ellis Horwood .

Hoile , S. , Duncan , S. , Rayment , T. and Grant , P.S. 2003: Microstructural evolution in the sprayform tool process . Second International Conference on Spray Deposition and Melt Atomization SDMA 2003 and Fifth International Conference on Sprayforming ICSF V, Bremen (Germany) 22-25 , June 2003.

Jones , P. , Duncan , S. , Rayment , T. and Grant , P.S. 2003: Control of a temperature profile for a spray deposition process . IEEE Transactions on Control Systems Technology 11, 656-667 .

Reyhanoglou , M. , Van Der Schaft , A. , McClamroch , N.H. and Kolmanovsky , I. 1999: Dynamics and control of a class of underactuated mechanical systems . IEEE Transactions on Automatic Control AC- 44, 1663-1671 .

Rosenbrock , H. 1970: State-space and multivariable control theory. Studies in Dynamical Systems. Nelson .

Skogestad , S. and Postlethwaite , I. 1997: Multivariable feedback control. John Wiley & Sons .

Sontag , E.D. 1998: Mathematical control theory. Deterministic finite dimensional systems, Second edition. Springer-Verlag .

10.

Tsachouridis , V.A. and Medrano-Cerda , G.A. 1999: Discrete-time H control of a triple inverted pendulum with single control input . IEE Proceedings D. Control Theory and Applications 146, 567-577 .

11.

Tsachouridis , V.A. and Postlethwaite , I. 2004: Pseudo-linear controllers for systems with saturated actuators . IEE Proceedings D. Control Theory and Applications 151, 783-789 .

Control of a sprayform tooling process in rapid manufacture

Abstract

Keywords

Get full access to this article

References