Optimal output feedback control of asymmetric systems using complex modes

G. W. Fan, H. D. Nelson, Marc Mignolet

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A Linear Quadratic Regulator (LQR)-based least-squares output feedback control procedure using a complex mode procedure is developed for the optimal vibration control of high-order asymmetric discrete system. An LQ Regulator is designed for a reduced-order model obtained by neglecting high-frequency complex modes of the original system. The matrix transformations between physical coordinates and complex mode coordinates are derived. The complex mode approach appears to provide more accurate reduced-order models than the normal mode approach for asymmetric discrete systems. The proposed least-squares output feedback control procedure takes advantage of the fact that a full-state feedback control is possible without using an observer. In addition, the lateral vibration of a high-order rotor system can be effectively controlled by monitoring one single location along the rotor shaft, i.e., the number of measured states can be much less than the number of eigenvectors retained in producing the reduced-order model while acceptable performance of the controller is maintained. The procedure is illustrated by means of a 52 degree-of-freedom finite element based rotordynamic system. Simulation results show that LQ regulators based on a reduced-order model with 12 retained eigenvalues can be accurately approximately by using feedback of four measured states from one location along the rotor shaft. The controlled and uncontrolled transient responses, using various numbers of measured states, of the original high-order system are shown. Comparisons of reduced-order model results using normal modes and complex modes are presented. The spillover problem is discussed for both collocated and noncollocated cased based on this same example.

Original languageEnglish (US)
Pages (from-to)307-313
Number of pages7
JournalJournal of Engineering for Gas Turbines and Power
Volume115
Issue number2
StatePublished - Apr 1993

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Feedback control
Rotors
Vibration control
State feedback
Eigenvalues and eigenfunctions
Transient analysis
Feedback
Controllers
Monitoring

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Optimal output feedback control of asymmetric systems using complex modes. / Fan, G. W.; Nelson, H. D.; Mignolet, Marc.

In: Journal of Engineering for Gas Turbines and Power, Vol. 115, No. 2, 04.1993, p. 307-313.

Research output: Contribution to journalArticle

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