On-Line Optimal Control of Nonlinear Systems by Singular Perturbation Techniques
Application of necessary optimality conditions for determination of an optimal control law for nonlinear systems results in a solution of nenlinear two-point boundary-value problems (TPBVP). In general. numerical algorithms of considerable complexity are to be invoked to obtain at most open-loop solution (program) to the respective problem. Also the computer time needed prevents to apply such an approach in many practical situations. Moreover. the optimal feedback is usually essential in most real-world engineering applications.
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