Unified Approach for Open-Loop Optimal Control with Applications to Aerospace Systems

Imura, Y.; Naidu, D. Subbaram

doi:10.1016/s1474-6670(17)32217-6

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2006

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“…In this paper, a unified approach is developed for open-loop optimal control problem based on the recent results by the authors [14,15]. The results are applicable simultaneously for both continuous-time (CT) and DT cases and thus avoid the development and study of the results of open-loop optimal control separately for CT and DT systems.…”

Section: Introductionmentioning

confidence: 99%

Unified approach for open‐loop optimal control

Imura

Naidu

2006

Optim Control Appl Methods

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We develop a unified approach for the necessary conditions for optimization of open-loop control systems, starting from the basic principles of calculus of variations. The unified approach results are simultaneously applicable to both shift ðqÞ-operator-based, discrete-time systems and the derivative ðd=dtÞ-operator-based, continuous-time systems. It is shown that the optimal condition results that are now obtained separately for continuous-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given. * Step 3: Introduction of costate vector.Next, let us introduce the costate variable kðtÞ; the augmented functionals J ra and J n ra defined as J ra ðuðtÞÞ ¼ S t f t 0 ½V r ðxðtÞ; uðtÞ; tÞ þ k 0 ðtÞff r ðxðtÞ; uðtÞ; tÞ À rxðtÞg dt ð35Þ Y. IMURA AND D. S. NAIDU 64

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Section: Introductionmentioning

confidence: 99%