Reliable stabilization using a multi-controller configuration

Given a plant P, we consider the problem of designing a pair of controllers C"1 and C"2 such that their sum stabilizes P, and in addition, each of them also stabilizes P should the other one fail. This is referred to as the reliable stabilization problem. It is shown that every strongly stabilizable plant can be reliably stabilized; moreover, one of the two controllers can be specified arbitrarily, subject only to the constraint that it should be stable. The stabilization technique is extended to reliable regulation.

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

[2]  Dragoslav D. Šiljak,et al.  Reliable control using multiple control systems , 1980 .

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

[4]  C. Desoer,et al.  Multivariable Feedback Systems , 1982 .

[5]  J. Murray,et al.  Feedback system design: The tracking and disturbance rejection problems , 1981 .

[6]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..

[7]  Bruce A. Francis,et al.  Algebraic and topological aspects of the regulator problem for lumped linear systems , 1983, Autom..

[8]  J. Murray,et al.  Fractional representation, algebraic geometry, and the simultaneous stabilization problem , 1982 .

[9]  M. Vidyasagar,et al.  Algebraic design techniques for reliable stabilization , 1982 .

[10]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[11]  D. Youla,et al.  Single-loop feedback-stabilization of linear multivariable dynamical plants , 1974, Autom..

[12]  Hans Schneider,et al.  Algebraic and topological aspects of feedback stabilization , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[13]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[14]  D. Siljak.  On reliability of control , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

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