An optimal control problem is characterized by three elements-- objective functions, mathematical model, and constraints. There are many different types of optimal control, e.g., minimum time control, problems with path constraints, minimum energy control, etc. Each has its own significance in particular context.
I suggest you pick a particular control problem based on your requirements and then refer some standard text and recent publications on the same.
Hope this helps. :)
Hi,
optimal control can be applied to ODE systems or to PDEs. For ODE systems two main classes of solution methods exist : direct (based on a discretization of the problem) and indirect (based on Pontryagin's Maximum principle). You can refer to the following book for example:
Bryson and Ho, Applied optimal control:Optimization, Estimation and control, Taylor and Francis, 1975.
Here are nice lecture notes on Optical Control
http://www.iam.fmph.uniba.sk/institute/halicka/teach/english_or.pdf
linear quadratic optimal control problem. continuous -time optimal control problem, discrete-time optimal control problem
The three components of an optimum control issue are constraints, mathematical models, and objective functions. There are many distinct kinds of optimal control, including issues with path constraints, minimum energy control, minimum time control, and others. Each has a different meaning depending on the situation.
he three components of an optimum control issue are constraints, mathematical models, and objective functions. Various types of these three elements lead to various types of OCPs
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