IEEE Transactions on Automatic Control, Vol.41, No.3, 461-464, 1996
Principle of Proportional Damages in a Multiple Criteria LQR Problem
A multiple criteria linear quadratic regulator (LQR) problem is considered, The principle of proportional damages is worked out to minimize a norm of a difference between ideal and optimal values of the vector-performance criteria, while the distribution of the losses (damages) of the performance criteria are under control, A multiple criteria LQR problem solution via principle of proportional damages is obtained as a linear form of state variables and is invariant to the norm which is minimized.