On the determination of the optimal constant output feedback gains for linear multivariable systems
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The optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed. The problem is posed with the additional constraint that the control vector u(t) is a linear time-invariant function of the output vector y(t) (u(t) = -Fy(t)) rather than of the state vector x(t) . The performance criterion is then averaged, and algebraic necessary conditions for a minimizing F\ast are found. In addition, an algorithm for computing F\ast is presented.
[1] R. E. Kalman,et al. New Results in Linear Filtering and Prediction Theory , 1961 .
[2] D. Luenberger. A new derivation of the quadratic loss control equation , 1965 .
[3] D. Luenberger. Observers for multivariable systems , 1966 .
[4] M. Athans,et al. On the design of linear systems with piecewise-constant feedback gains , 1968 .
[5] M. Athans,et al. On the design of optimal linear systems using only output-variable feedback. , 1968 .