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A design method for fixed-order H controllers via bilinear matrix inequalities

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2 Author(s)
Imae, J. ; Dept. of Mech. Eng., Iwate Univ., Morioka, Japan ; Furudate, T.

We deal with fixed-order H controller design problems, based on bilinear matrix inequalities. BMI problems are nonlinear, non-differentiable and nonconvex, and therefore very difficult numerically to obtain global solutions. First, we convert BMI problems into differentiable problems introducing so-called shift-parameters. Next, combining the shift-parameter scheme with quasi-Newton methods, a computational technique has been proposed as BMI solvers. Lastly, we demonstrate the effectiveness of our approach by simulations, with applications to the design of fixed-order H controllers

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American Control Conference, 1999. Proceedings of the 1999  (Volume:3 )

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