Spurious nonminimum phase zeros in models of smart structures

Edward A. Henrich; James T. Gillis; Jennifer M. O'Connor

doi:10.1117/12.175224

6 May 1994 Spurious nonminimum phase zeros in models of smart structures

Edward A. Henrich, James T. Gillis, Jennifer M. O'Connor

Proceedings Volume 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems; (1994) https://doi.org/10.1117/12.175224
Event: 1994 North American Conference on Smart Structures and Materials, 1994, Orlando, FL, United States

Abstract

This paper addresses the implications of spurious nonminimum phase zeros for design of control systems with noncollocated sensors and actuators. The relationship between the finite- element model and the control system model is examined in detail, with particular emphasis on the physical analogies of nonminimum phase zeros in the finite-dimensional representation of the system. Finite element models of constrained systems may be used to determine which zeros are spurious. Synthesis of accurate transfer functions is demonstrated using the idea of constrained modes. By considering the infinity norm of the undermodelling, the exact residue model even with spurious nonminimum phase zeros is the preferred model for control system design.

Citation Download Citation

Edward A. Henrich, James T. Gillis, and Jennifer M. O'Connor "Spurious nonminimum phase zeros in models of smart structures", Proc. SPIE 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems, (6 May 1994); https://doi.org/10.1117/12.175224

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