Reliable design of H2 optimal reduced-order controllers via a homotopy algorithm

Emmanuel G. Collins; Stephen Richter; Lawrence D. Davis

doi:10.1117/12.138162

10 July 1992 Reliable design of H₂ optimal reduced-order controllers via a homotopy algorithm

Emmanuel G. Collins, Stephen Richter, Lawrence D. Davis

Proceedings Volume 1696, Controls for Optical Systems; (1992) https://doi.org/10.1117/12.138162
Event: Aerospace Sensing, 1992, Orlando, FL, United States

Abstract

Due to control processor limitations, the design of reduced-order controllers is an active area of research. Suboptimal methods based on truncating the order of the corresponding linear- quadratic-Gaussian (LQG) compensator tend to fail if the requested controller dimension is sufficiently small and/or the requested controller authority is sufficiently high. Also, traditional parameter optimization approaches have only local convergence properties. This paper discusses a homotopy algorithm for optimal reduced-order control that has global convergence properties. The exposition is for discrete-time systems. The algorithm has been implemented in MATLAB and is applied to a benchmark problem.

Citation Download Citation

Emmanuel G. Collins, Stephen Richter, and Lawrence D. Davis "Reliable design of H₂ optimal reduced-order controllers via a homotopy algorithm", Proc. SPIE 1696, Controls for Optical Systems, (10 July 1992); https://doi.org/10.1117/12.138162

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