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CACSD using the state-space L theory-a design example

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2 Author(s)
M. G. Safonov ; Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA ; R. Y. Chiang

The L optimal control theory is used to achieve singular value loop-shaping design objectives in a multivariable aircraft pitch-axis control design example involving an unstable nonminimum phase plant. Comparison to the frequency-weighted LQG (Linear quadratic Gaussian) design shows that the L theory easily produced a superior design having both higher bandwidth and greater stability margin, with no need for designer interaction for iterative adjustment of weights, than LQG. The design example provides a vivid illustration of how the all-pass property of the L theory enables precise shaping of closed-loop singular-value Bode plots to conform pointwise to prespecified weighting functions

Published in:

IEEE Transactions on Automatic Control  (Volume:33 ,  Issue: 5 )