Probabilistic design of LPV control systems

  • Authors:

  • Yasumasa Fujisaki;Fabrizio Dabbene;Roberto Tempo

  • Affiliations:

  • Department of Computer and Systems Engineering, Kobe University, Nada, Kobe 657-8501, Japan;IEIIT-CNR, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy;IEIIT-CNR, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2003

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Abstract

This paper presents an alternative approach to design of linear parameter-varying (LPV) control systems. In contrast to previous methods, which are focused on deterministic algorithms, this paper is based on a probabilistic setting. The proposed randomized algorithm provides a sequence of candidate solutions converging with probability one to a feasible solution in a finite number of steps. The main features of this approach are as follows: (i) The randomized algorithm gives a method for general LPV plants with state space matrices depending on scheduling parameters in a nonlinear manner. That is, the probabilistic setting does not need a gridding of the set of scheduling parameters or approximations such as a linear fractional transformation of the state space matrices. (ii) The proposed algorithm is sequential and, at each iteration, it does not require heavy computational effort such as solving simultaneously a large number of linear matrix inequalities.