Systems with delays in state and control variables can be transformed into infinite dimensional systems without delays. Standard techniques can be used to solve the linear quadratic control problem and derive algebraic and differential Riccati equations.
optimal terminal control for linear systems with delayed states and controls
β Scribed by Marco Ariola; Alfredo Pironti
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 474 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0005-1098
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β¦ Synopsis
In this paper we consider a linear time-varying system with state and control delay terms, both lumped and distributed, subject to unknown, square integrable disturbances. Using a differential games approach, we provide a necessary and sufficient condition for the existence of an optimal control law minimizing the H β norm of the operator mapping the disturbance to the weighted control and terminal state.
π SIMILAR VOLUMES
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A generalized linear-quadratic optimal control problem for systems with delay admits a state feedback form solution having some desirable robustness properties, locating closed-loop poles to be a specified region and being realized by solving a finite-dimensional Riccati equation.