Matrix quadratic descriptions for series coupled mechanical systems are used in the synthesis of controllers generating prescribed closed-loop pole configurations. Three-term control action is introduced to improve the load disturbance rejection properties of the system while maintaining the specified set-point response. Conditions maximizing the closed-loop model's steady state determinant value, constraining thereby the error to load disturbances, are derived and a study illustrating this feature is presented. The interaction between the transient and steady state performance of the system is commented upon.
EvansW. R.Graphical analysis of control systems. Trans. AIEE, 1948, 67, 547–551.
2.
MaxwellC.On governors. Proc. R. Soc., 1867, 16, 270–283.
3.
WhalleyR.EbrahimiM.Mechanical systems and structures with large parameter variations. Proc. Instn Mech. Engrs, Part G, Journal of Aerospace Engineering, 1997, 211 (G1), 1–13.
4.
SimonJ. D.MitterS. K.A theory of modal control. Inf. and Control, 1968, 13, 316–353.
5.
CrossleyT.R.PorterB.Synthesis of aircraft modal control systems. J. R. Aeronaut. Soc., 1969, 73(698), 185–196.
6.
WonhamW. M.On pole assignment in multi-input controllable linear systems. IEEE Trans. on Automatic Control, 1967, AC-12, 660–665.
7.
MunroN.VardulakisA. I.Pole shifting using output feedback. Int. J. Control, 1973, 18, 1267–1273.
8.
WhiteB. A.Eigenstructure assignment: A survey. Proc. Instn Mech. Engrs, Part I, Journal of Systems and Control Engineering, 1995, 209 (I1), 1–11.
SteidalR. F.An Introduction to Mechanical Vibrations, 1989 (John Wiley, New York).
12.
WhalleyR.MitchellD.BartlettH.Matrix quadratic models. Proc. Instn Mech. Engrs, Part I, Journal of Systems and Control Engineering, 1996, 210 (I1), 31–43.
13.
SchwarzC. J.FriedlandB.Linear Systems, 1965 (McGraw-Hill, New York).
14.
FrazerR. A.DuncanW. J.CollarA. R.Elementary Matrices, 1963 (Cambridge University Press).
15.
CollarA. R.SimpsonA.Matrices and Engineering Dynamics, 1986 (Ellis and Horwood, Chichester).
