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.
The optimal control of delay control systems with restricted state right endpoint
โ Scribed by Jiang Wei; Zheng Zuxiu
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 303 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0253-4827
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โฆ Synopsis
In this paper, for the delay control system: ~(f)=~[~(~),~(f-l),u(~),fl ~<i&l,fil 4f)=!Nf) GILI,fll with state right endpoint restristed by condition
'$%~~~~dl=~ (k=l,2,-,I) a maximum principle is given. And as a spe@c example. this paper gives a maximum princ@ie under the condition that partial states right endpoints be compiete(v jked.
Finally, this paper gives an example to explain the application of the main result oj this paper. All the results are suitable for the control systems with multidela~. as well.
๐ SIMILAR VOLUMES
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
This paper is devoted to the study of a general class of optimal control problems described by delay-differential inclusions with equality and inequality endpoint constraints and multivalued initial conditions. We use the method of discrete approximations and advanced tools of variational analysis a
The problem of designing dynamic controllers for a class of linear dynamical systems with time-varying delays subject to input disturbance as well as output measurement error and in which some parameters are unknown-but-bounded is considered. It is establishing that when certain structural constrain