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Reduced-order solution to the finite-time optimal-control problems of linear weakly coupled systems

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2 Author(s)
Su, W.C. ; Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA ; Gajic, Z.

The optimal solution to the finite-time optimal-control problem of weakly coupled linear systems is found in terms of completely decoupled reduced-order differential equations for both closed-loop and open-loop control. This is achieved through the use of the decoupling transformation that block diagonalizes the Hamiltonian matrix of the weakly coupled linear-quadratic control problem. The convergence to the optimal solution is pretty rapid. The proposed technique is very well suited for parallel computations

Published in:

Automatic Control, IEEE Transactions on  (Volume:36 ,  Issue: 4 )