A new decomposition-coordination approach is presented to design control laws for linear discrete-time systems with distributed lags. By a proper decomposition of the criterion, one obtains a control law with partial feedbacks and an open loop part in order to satisfy the optimality conditions. On-l
Time-optimal control of disturbance-rejection tracking systems for discrete-time time-delayed systems by state feedback
β Scribed by S.M. Karbassi
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 411 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we solve the disturbance-rejection and tracking problem for linear multivariable discrete-time systems with time-delayed controlled inputs. A set of necessary and sufficient conditions under which the proposed problem is controllable is defined. Also, the nilpotency properties of such systems is established and used as the basis of a comprehensive design procedure. This general procedure is illustrated by designing a time-optimal disturbance rejection tracking system for a stirred-tank with time-delayed control inputs.
π SIMILAR VOLUMES
## Abstract The suboptimal control policy obtained from series expansion of timeβdelay terms is useful when the delays are small. The second method involving direct search on the constant gain matrix is applicable even for large delays. Both of these proposed methods are computationally simple and
AImtract--Industrial plants which contain unilateral flow of material are considered. First, it is shown that such plants can be represented by finite-dimensional difference equations after sampling. Then, the design of discrete-time optimal control systems is studied based on the difference equatio
This paper deals with the class of nonlinear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of th