Abstract
In this paper, we will derive complete parametrization of the H∞ FI controller and that of the H∞ sdtate feedback (SF) controller. And we will determine the obtained dynamical free parameters so that they minimizes an H2 control performance and will show the condition when the whole controller becomes a constant feedback gain other than the central solution F∞.
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References
H. Kimura and R. Kawatani (1988). 'synthesis of H∞ Controllers Based on Conjugation', Proc. of 27th CDC, pp. 7–13
J. Doyle, K. Glover, P.P. Khargonekar & B.A. Francis (1989). ‘State-space solutions to standard H2 and H∞ control problems”, IEEE Trans. Auto. Control, AC-34, pp. 831–847.
D.S. Bernstein and W.M. Haddad (1989). ‘LQG control with an H∞ performance bound: A Riccati equation approach', IEEE Trans. Auto. Control, AC-34, pp. 293–305.
J.Doyle, K.Zhou & B.Bodenheimer (1989). ‘Optimal control with mixed H2 and H* performance objectives', Proc. 1989 ACC, pp. 2065–2070.
M.A.Rotea & P.P.Khargonekar (1990). 'simultaneous H2/H* optimal control with state feedback', Proc. 1990 ACC, pp.2830–2834
I.R. Perterson (1987). ‘Disturbance attenuation and H∞ optimization: A design method based on the algebraic Riccati equation', IEEE Trans. Auto. Control. AC-32, pp. 427–429
K. Zhou and P.P. Khargonekar (1988). ‘An algebraic Riccati equation approach to H∞ optimization', Systems & Control Letters, 11, pp.85–91
K.Z. Liu, T. Mita & R. Kawatani (1990). ‘Parametrization of state feedback H∞ controllers', Int. J. Control, 51, pp.535–551
T.Mita (1991). ‘Complete parametrizations of H∞ controllers in full informat ion problem and state feedback problem', Proc. SICE 13th DST, pp. 59–64
T. Mita (1990). ‘H∞/H2 mixed control', J. Fac. Enrg. Chiba Univ., 42–2, pp.13–22, Proc. MTNS'91 Kobe
B.A.Francis (1987). A course in H∞ control theory, Springer-Veralag
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© 1992 Springer-Verlag
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Mita, T., Liu, KZ. (1992). Parametrization of H∞ FI controller and H∞/H2 state feedback control. In: Davisson, L.D., et al. Robust Control. Lecture Notes in Control and Information Sciences, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0114666
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DOI: https://doi.org/10.1007/BFb0114666
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