A tutorial review of this basic system theory problem emphasizes dynamical system arguments and simple proof cycles.
On constrained infinite-time linear quadratic optimal control
β Scribed by D. Chmielewski; V. Manousiouthakis
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 579 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
β¦ Synopsis
This work presents a solution to the infinite-time linear quadratic optimal control (ITLQOC) problem with state and control constraints. It is shown that a single, finite dimensional, convex program of known size can yield this solution. Properties of the resulting value function, with respect to initial conditions, are also established and are shown to be useful in determining the aforementioned problem size. An example illustrating the method is finally presented.
π SIMILAR VOLUMES
The discrete-inΓΏnite time stochastic control system with complete observation is considered with quadratic cost functional when the coe cients of the system and cost functional are not time-invariant. It has been shown that the optimal control law has the form of time invariant feedback under the as
This paper considers receding horizon control strategies for constrained linear systems. Continuous-time predictions of input} output responses on an in"nite horizon allow exploitation of the full range of plant behaviour. In addition, an in"nite prediction horizon ensures the nominal stability of t