A Hadamard weighted loop shaping design procedure

The authors introduce a design procedure for linear system controllers that incorporates the loop shaping design of D. C. McFarlane and K. Glover (1992) and allows element-by-element weighting, or Hadamard weighting, of the closed loop. The method provides a single design variable which the designer can vary to trade off stability robustness with performance. A design example carried out on an ill-conditioned plant is presented. This example demonstrates the ease with which approximate decoupling can be enforced while maintaining stability robustness and the way in which time domain requirements can be achieved using H/sub infinity /-based techniques.<<ETX>>

[1]  K. Glover,et al.  Robust stabilization of normalized coprime factors: an explicit H∞ solution , 1988, 1988 American Control Conference.

[2]  M. Vidyasagar The graph metric for unstable plants and robustness estimates for feedback stability , 1982, 1982 21st IEEE Conference on Decision and Control.

[3]  M. Vidyasagar,et al.  Algebraic and topological aspects of feedback stabilization , 1980 .

[4]  K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[5]  D.J.N. Limebeer The specification and purpose of a controller design case study , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  Sigurd Skogestad,et al.  Robust control of ill-conditioned plants: high-purity distillation , 1988 .

[7]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[8]  F. van Diggelen,et al.  Element-by-element weighted H/sub infinity /-Frobenius and H/sub 2/ norm problems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[9]  Keith Glover,et al.  A loop-shaping design procedure using H/sub infinity / synthesis , 1992 .

[10]  Glenn Vinnicombe Structured uncertainty and the graph topology , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[11]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1990 .

[12]  Maciejowsk Multivariable Feedback Design , 1989 .

[13]  O. Yaniv,et al.  Robust Non Iterative Synthesis of Ill-Conditioned Plants , 1990, 1990 American Control Conference.

[14]  L. Mirsky SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS , 1960 .