论文信息 - Optimal control study for the Space Station solar dynamic power module

Optimal control study for the Space Station solar dynamic power module

The authors present the design of an optimal control system for the Space Station Freedom solar dynamic fine pointing and tracking (SDFPT) module. A very large state model of six rigid modes and 272 flexible modes is used in conjunction with classical LQG optimal control to produce a full-order controller which satisfies the requirements. The results obtained are compared with those of a classically designed PID (proportional plus integral plus derivative) controller that was implemented for a six-rigid-body-mode forty-flexible-mode model. A major difficulty with designing LQG controllers for large models is solving the Ricati equation that arises from the optimal formulation. A Riccati solver based on a Pade approximation to the matrix sign function is used. A symmetric version of this algorithm is derived for the special class of Hamiltonian matrices, thereby yielding, for large problems, a nearly twofold speed increase over a previous algorithm.<<ETX>>

[1] R. Byers. Solving the algebraic Riccati equation with the matrix sign function , 1987 .

[2] J. J. Cheng,et al. Control-structure interaction study for the Space Station solar dynamic power module , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[3] A. Laub,et al. Rational iterative methods for the matrix sign function , 1991 .

[4] Yousef Saad,et al. A parallel block cyclic reduction algorithm for the fast solution of elliptic equations , 1987, Parallel Comput..

[5] A. Laub. A schur method for solving algebraic Riccati equations , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[6] Alan J. Laub,et al. Positive and negative solution of dual Riccati equations by matrix sign function iteration , 1989 .

[7] Yousef Saad,et al. On the parallel solution of parabolic equations , 1989, ICS '89.

[8] J. D. Roberts,et al. Linear model reduction and solution of the algebraic Riccati equation by use of the sign function , 1980 .

[9] Alan J. Laub,et al. On Scaling Newton's Method for Polar Decomposition and the Matrix Sign Function , 1990, 1990 American Control Conference.

[10] Alan J. Laub,et al. A Parallel Algorithm for the Matrix Sign Function , 1990, Int. J. High Speed Comput..

[11] Gerald Bierman. Computational aspects of the matrix sign function solution to the ARE , 1984, The 23rd IEEE Conference on Decision and Control.