Abstract
In this paper, we have discussed the problem to find a controller which satisfies (a) internal stability, (b) robust tracking, (c) the exact model matching and (d) the specified H ∞ control performance related to the feedback properties. First, we have obtained a necessary and sufficient condition for such a controller to exist. Then, we have parametrized all such controllers, where (i) the two-degree-of-freedom compensator configuration and (ii) the free parameter of the H ∞ suboptimal controller are fully exploited.
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References
E.J. Davison, The robust control of a servomechanism problem for linear time-invariant multivariable systems, IEEE Trans. Autom. Contr., 21, 25–34 (1976)
B.A. Francis and M. Vidyasagar, Algebraic and topological aspects of the regulator problem for lumped linear systems, Automatica, 19, 87–90 (1983)
M. Fujita, F. Matsumura and M. Shimizu: H ∞ robust control design for a magnetic suspension system; Proc. of 2nd Int. Sympo. on Magnetic Bearing, pp. 349–355 (1990)
R. Kondo and S. Hara, On cancellation in H ∞ optimal controllers, Systems & Control Letters, 13, 205–210 (1989).
H. Kuraoka et al.: Application of H ∞ optimal Design to Automotive Fuel Control; Proc. 1989 American Control Conf., pp. 1957–1962 (1989)
T. Sugie and S. Hara, H ∞-suboptimal control problem with boundary constraints, Systems & Control Letters, 13, 93–99 (1989).
T. Sugie and T. Yoshikawa, General solution of robust tracking problem in two-degree-of-freedom control systems, IEEE Trans. Autom. Contr., 31, 552–554 (1986)
T. Sugie and M. Vidyasagar, Further results on the robust tracking problem in two d.o.f. control systems, Systems & Control Letters, 13, 101–108 (1989).
Q.H. Wu and M. Mansour, Robust output regulation for a class of linear multivariable systems, Systems & Control Letters, 13, 227–232 (1989)
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© 1992 Springer-Verlag
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Sugie, T., Fujita, M., Hara, S. (1992). H∞-suboptimal controller design of robust tracking systems. 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/BFb0114662
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DOI: https://doi.org/10.1007/BFb0114662
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55961-0
Online ISBN: 978-3-540-47320-6
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