Design of LPV control systems based on Youla parameterisation

Design of LPV control systems based on Youla parameterisation

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A method of designing linear-parameter varying (LPV) control systems based on the parameterisation of all quadratically stabilising controllers is presented. Conceptions of doubly coprime factorisation and Youla parameterisation of LTI systems are extended to LPV systems with respect to quadratic stability using a state-space expression. The parameterisation of closed-loop systems, which are affine with any quadratically stable Q-parameter, is then described. This description enables the application of the Q-parameter approach to a variety of LPV control-system designs. Above all, a systematic H strategy is focused on and a necessary and sufficient condition and also a design scheme of Q to obtain L2-gain performance, are clarified.


    1. 1)
      • D.C. Youla , H. Jabr , J.J. Bongiorno . Modern Wiener-Hopf design of optimal control controllers: part II: the multivariable case. IEEE Trans. Autom. Control , 319 - 338
    2. 2)
      • V. Kučera . (1979) Discrete linear control: the polynomial equation approach.
    3. 3)
    4. 4)
    5. 5)
      • S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . Linear matrix inequality in systems and control theory. Studies in Applied Mathematics Series
    6. 6)
    7. 7)
    8. 8)
      • Becker, G., Packard, A., Philbrick, D., Blas, G.: `Control of parametrically-dependent linear systems: a single quadratic Lyaponov approach', Proc. American Conf. on Control, San Francisco, CA, USA, 1993, p. 2795–2799.
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
      • Special Issue on Gain Scheduling. Int. J. Robust Nonlinear Control , 9
    14. 14)
    15. 15)
      • P. Gahinet , A. Nemirovski , A. Laub , M. Chilali . (1995) LMI control toolbox.
    16. 16)
      • P. Gahinet , P. Apkarian . A linear matrix inequality approach to H∞ control. Int. J. Robust Nonlinear Control , 421 - 448
    17. 17)
      • I. Gohberg . (1992) Time-varying systems and interpolation.

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