Order reduction of linear-quadratic-Gaussian-designed controllers

E. Nissim

Research output: Contribution to journalArticlepeer-review


Linear-quadratic-Gaussian (LQG) procedures for controller design yield compensators of the same order as the plant. However, practical design considerations often dictate low-order controllers. This paper presents a procedure for reducing the order of LQG-designed controllers. The proposed method is based on the same performance index J used for designing the optimal regulator; the value of J for the system with the reducedorder controller is essentially identical to the value obtained with the full-order controller. It is shown that the observer normal coordinates play an important role in the proposed method. The numerical results presented illustrate the effectiveness of this method.

Original languageEnglish
Pages (from-to)1154-1161
Number of pages8
JournalJournal of Guidance, Control, and Dynamics
Issue number6
StatePublished - Nov 1993
Externally publishedYes


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