Multi-criterion approaches to optimization of linear regulators Academic Article uri icon

abstract

  • The problem of designing structural control systems is addressed, considering three competing design objectives: expected state error energy, expected control energy and stability robustness. These three objectives are optimized using different parameterization schemes of stabilizing feedback laws. In the first part of the paper, the authors present three feedback design algorithms including a new one developed in this study: (1) generalized linear quadratic regulator (LQR) design, (2) modified LQR design [new] based on Lyapunov stability theory, and (3) feedback design using Sylvester's equation. In the second part, the authors develop a numerical algorithm for multi-criterion optimization problems, which utilizes a minimum-norm correction strategy in conjunction with a homotopy technique. The performances of the three feedback design algorithms are compared by generating trade off surfaces of competing design objectives. This paper offers a new approach to multi criterion optimization for feedback control system designs, which is considered as a useful tool for computer aided design implementation of control systems.

author list (cited authors)

  • Rew, D. W., & Junkins, J. L.

publication date

  • July 1988