Abstract
Within the framework of optimal control theory, a feedback design approach is proposed which results in explicit solutions for the Hamilton-Jacobi-Bellman (HJB) equation, and consequently, yields optimal control laws in analytical form. To exploit this advantage, the closed-loop performance measure is exclusively selected from a parametric family of cost functionals constructed with a purposeful structural constraint to inevitably produce explicit solutions for the HJB equation. This constraint indeed narrows down the scope of the proposed approach; yet, it is shown by several examples that this approach can successfully address certain classes of feedback design problems.
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