Necessary and sufficient conditions for a nonminimum phase plant to have a recoverable target loop - A stable compensator design for LTR

Abstract In connection with loop transfer recovery of nonminimum phase systems, the purpose of this paper is two-fold: (1) to study the set of recoverable target loops and to establish necessary or/and sufficient conditions for a given plant to have at least one recoverable target loop, and (2) to show that the compensator structure developed earlier in Chen, Saberi and Sannuti [(1991) Automatica , 27, 257–280] for minimum phase systems, can also recover any recoverable target loop for nonminimum phase systems as well while retaining all its advantages over conventional observer based controllers.

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

[2]  G. Stein,et al.  Robustness with observers , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

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

[4]  James Freudenberg,et al.  Loop transfer recovery with non-minimum phase zeros , 1987, 26th IEEE Conference on Decision and Control.

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

[6]  P. Sannuti,et al.  Theory of LTR for nonminimum phase systems, recoverable target loops, recovery in a subspace. I. Analysis , 1990, 29th IEEE Conference on Decision and Control.

[7]  P. Khargonekar,et al.  H/sub infinity /-optimal control with state-feedback , 1988 .

[8]  Jakob Stoustrup,et al.  Loop transfer recovery for general observer architectures , 1991 .

[9]  Ali Saberi,et al.  Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling , 1987 .

[10]  Ali Saberi,et al.  Observer design for loop transfer recovery and for uncertain dynamical systems , 1990 .

[11]  George C Goodman.  The LQG/LTR method and discrete-time control systems , 1984 .

[12]  Ali Saberi,et al.  Loop Transfer Recovery: Analysis and Design , 1993 .

[13]  M. Athans.  A tutorial on the LQG/LTR method. [Linear Quadratic Gaussian/Loop Transfer Recovery] , 1986 .

[14]  Masayuki Fujita,et al.  Asymptotic H∞ disturbance attenuation based on perfect observation , 1990, 1990 American Control Conference.

[15]  Ali Saberi,et al.  Theory of LTR for non-minimum phase systems, recoverable target loops, and recovery in a subspace Part 1. Analysis , 1991 .

[16]  D. Ridgely,et al.  Introduction to Robust Multivariable Control , 1986 .

[17]  Huibert Kwakernaak,et al.  Optimal low-sensitivity linear feedback systems , 1969, Autom..

[18]  P. Sannuti,et al.  A special coordinate basis of multivariable linear systems- Finite and infinite zero structure , 1986, 1986 25th IEEE Conference on Decision and Control.

[19]  Ali Saberi,et al.  A New Stable Compensator Design for Exact and Approximate Loop Transfer Recovery , 1990 .

[20]  Hans Henrik Niemann,et al.  An Analysis Of Pole/zero Cancellation In LTR-based Feedback Design , 1990, 1990 American Control Conference.

[21]  Hans Henrik Niemann,et al.  Trade-Offs in LTR-Based Feedback Design , 1989, 1989 American Control Conference.