Singular Perturbation of the Linear State Regulator.
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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The presently established Singular Perturbation Theory for nonlinear differential equations is used in this thesis to find an approximate solution of the linear regulator problem in optimal control. The transient behavior of certain fast state variables is neglected by introducing an artificial parameter, lambda, which multiplies the derivatives of these variables in the state equations. This parameter is then set to zero at an appropriate point in the solution of the problem to reduce the computational time and storage requirements. Author
- Theoretical Mathematics