A loop-shaping design procedure using H/sub infinity / synthesis

A design procedure is introduced which incorporates loop shaping methods to obtain performance/robust stability tradeoffs, and a particular H/sub infinity / optimization problem to guarantee closed-loop stability and a level of robust stability at all frequencies. Theoretical justification of this technique is given, and the effect of loop shaping on closed-loop behavior is examined. The procedure is illustrated in a controller design for a flexible space platform. >

[1]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[2]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[3]  A. Laub,et al.  Feedback properties of multivariable systems: The role and use of the return difference matrix , 1981 .

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

[5]  G. Zames.  Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

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

[7]  John C. Doyle.  Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[8]  Y. Hung,et al.  Multivariable Feedback: A Quasi-Classical Approach , 1982 .

[9]  Mathukumalli Vidyasagar,et al.  Robust controllers for uncertain linear multivariable systems , 1984, Autom..

[10]  M. Safonov.  Optimal H∞ synthesis of robust controllers for systems with structured uncertainty , 1986, 1986 25th IEEE Conference on Decision and Control.

[11]  G. Stein,et al.  The LQG/LTR procedure for multivariable feedback control design , 1987 .

[12]  Michael G. Safonov,et al.  CACSD using the state-space L/sup infinity / theory-a design example , 1988 .

[13]  J. Freudenberg,et al.  Frequency Domain Properties of Scalar and Multivariable Feedback Systems , 1988 .

[14]  K. Glover,et al.  AN H, DESIGN PROCEDURE USING ROBUST STABILIZATION OF NORMALIZED COPRIME FACTORS , 1988 .

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

[16]  K. Glover,et al.  Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty , 1989 .

[17]  Maciejowsk.  Multivariable Feedback Design , 1989 .

[18]  Keith Glover,et al.  Pole/zero cancellations in the general H ∞ problem with reference to a two block design , 1990 .

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

[20]  Jim Freudenberg,et al.  Loop transfer recovery for nonminimum phase plants , 1990 .