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Optimal Control for Nonlinear Systems Driven by a Known Exogenous Signal
- Source :
- IEEE Transactions on Automatic Control. 67:3678-3684
- Publication Year :
- 2022
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2022.
-
Abstract
- We consider optimal control problems for continuous-time systems with time-dependent dynamics, in which the time-dependence arises from the presence of a known exogenous signal. The problem has been elegantly solved in the case of linear input-affine systems, for which it has been shown that the solution has a remarkable structure: it is given by the sum of two contributions; a state feedback, which coincides with the unperturbed optimal control law, and a purely feedforward term in charge of compensating the effect of the exogenous signal. The objective of this note is to extend the above result to nonlinear input-affine systems. It is shown that, while some of the relevant features of the linear case indeed rely heavily on linearity and are not preserved in the nonlinear setting, several structural claims can be proved also in the nonlinear case.
- Subjects :
- Settore ING-INF/04
Computer science
Feed forward
Structure (category theory)
Linearity
Optimal control problems
State (functional analysis)
Optimal control
Signal
Computer Science Applications
Term (time)
Nonlinear systems
Hamilton-Jacobi-Bellman equation
0906 Electrical and Electronic Engineering
Nonlinear system
Industrial Engineering & Automation
Control and Systems Engineering
Control theory
0102 Applied Mathematics
Electrical and Electronic Engineering
0913 Mechanical Engineering
Subjects
Details
- ISSN :
- 23343303 and 00189286
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control
- Accession number :
- edsair.doi.dedup.....e78be2f45067fb0c413a8fb06ced5379