Abstract
A new computer-aided method for the design of linear controllers is outlined. Rather than designing the controller directly, the method designs the Q-parameter that parameterizes all stabilizing controllers. Because closed-loop maps are affine in Q, specifications on the closed-loop system translate to convex constraints on Q. The translation is done with an intelligent compiler that reads specifications written in a control specification language and generates a standard convex program for Q that is readily solved.
The constraint and objective constructions in the control specification language are natural for the control engineer and allow a wide variety of specifications including asymptotic tracking, limits on peak excursions of variables, decoupling, step response settling and overshoot, frequency domain inequalities, and others.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Stein and M. Athans, "The LQG/LTR Procedure for Multivariable Feedback Control Design," IEEE Trans. Automat. Contr., vol AC-32, pp. 105–114, 1987.
S. P. Boyd, V. Balakrishnan, C. H. Barratt, N. M. Kraishi, X. M. Li, D. G. Meyer, and S. A. Norman, "A new CAD method and associated architectures for linear controllers," IEEE Trans. Automat. Contr., vol AC-33, no. 3, 1988.
M. A. Dahleh and J. B. Pearson, "ℓ1-optimal controller for MIMO discrete-time systems," IEEE Trans. Automat. Contr., vol. AC-32, no. 4, pp. 314–323.
C. A. Desoer, R.-W. Liu, J. Murray, and R. Saeks,"Feedback system design: The fractional representation approach to analysis and synthesis," IEEE Trans. Automat. Contr., vol AC-29, no. 3, pp. 399–412, 1984.
B. A. Francis and G. Zames, "On H∞-optimal sensitivity theory for SISO feedback systems," IEEE Trans. Automat. Control, AC-29, pp. 9–17, 1984.
D. G. Luenberger, "Optimization by Vector Space Methods," John Wiley & Sons, Inc., New York, 1969.
U.-L. Ly, A. E. Bryson, and R. H. Cannon, "Design of low-order compensators using parameter optimization", In Applications of Nonlinear Programming to Optimization and Control, IFAC, 1983.
D. Q. Mayne, E. Polak, and A. Sangiovanni - Vincentelli, "Computer aided design via optimization," Control Applications of Non-linear Programming, IFAC, 1979.
E. Polak,, P. Siegel, T. Wuu, W. T. Nye, and D. Q. Mayne, "DELIGHT.MIMO: An interactive optimization-based multivariable control system design package," IEEE Cont. Sys. Magazine, No. 4, Dec., 1982.
W. Rudin, Real and Complex Analysis, McGraw-HilI, New York, 1974.
M. Vidyasagar, "Control System Synthesis: The Factorization Approach," Cambridge, MA., MIT Press, 1985.
D. C. Youla, H. A. Jabr, and J. J. Bongiorno, "Modern Wiener-Hopf design of optimal controllersPart II: The multivariable case," IEEE Trans. Aut. Contr., vol. AC-21, no. 6, pp. 319–338, 1976.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Meyer, D.G. et al. (1988). Intelligent Control Specification Language Compilers, the Q-parameterization, and Convex Programming: Concepts for an Advanced Computer-Aided Control System Design Method. In: Denham, M.J., Laub, A.J. (eds) Advanced Computing Concepts and Techniques in Control Engineering. NATO ASI Series, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83548-3_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-83548-3_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83550-6
Online ISBN: 978-3-642-83548-3
eBook Packages: Springer Book Archive