Physics, asked by JAYANTHP4482, 1 year ago

Describe the procedure for solving optimal control problem using Pontryagin’s minimum principle.

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Answered by rounakthemastermind
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Answer:

Explanation:

Optimal control of any process can be achieved either in open or closed loop. In the  following two chapters we concentrate mainly on the first class. The first chapter is  devoted to definition of open-loop optimal control (dynamic optimisation) problems.  Next, the chapter is concerned with practical ways (techniques) that can be used  to solve such problems. It also discusses closed-loop implementation, handling of  disturbances, and nonlinear state-feedback control.  We introduce three basic parts of an optimal control problem (OCP): an objective  functional, constraint functions, and a process model and their common mathematical  forms. The objective functional, optimisation criterion, or performance index  represents mathematical expression of phenomenon whose minimum (or maximum)  we want to attain. The constraint functions of various types determine a search space  of decision (optimisation) variables whose time evolutions or values are searched for.  The process model function ties inputs, states, and outputs of the process together  and determines a search domain for the optimisation procedure in a similar way as  the constraint functions do.


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