Abstract
An H ∞ based control system design procedure is developed. The basic idea is to produce a two degree of freedom controller in which the closed-loop portion is designed, via H ∞ methods similar to those of Kwakernaak, to be robust with respect to both disturbance rejection and insensitivity to parameter variations. The pre-compensator is designed, via vector-valued performance criteria methods, so as to cause the entire system to meet all the design criteria. The resulting design is close to optimal but not necessarily practically useful. Procedures to approximate the nearly optimal controller by lower order, practical controllers are also developed.
This design procedure is then used to design a pitch axis controller for a linearized model of the F − 14 aircraft. The resulting optimal controller as well as its more practical approximations are compared with two other designs, one an LQ based-design from Grumman and the other based on DELIGHT.Marylin.
Research supported in part by the SRC, Contract No. OIR-85-00108.
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© 1988 Springer-Verlag
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Yang, JS., Levine, W.S. (1988). An H ∞ method for the design of linear time-invariant multivariable sampled-data control systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042205
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DOI: https://doi.org/10.1007/BFb0042205
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