A tutorial review of this basic system theory problem emphasizes dynamical system arguments and simple proof cycles.
The discrete linear time invariant time-optimal control problem—An overview
✍ Scribed by John O'Reilly
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 789 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
✦ Synopsis
A review of two decades of investigation into one of the fundamental problems of control theory, the discrete linear time invariant time optimal control problem, is presented. Two classes of multi-input time optimal controller, one based on system controllability and the other on eigenvalue assignment, are considered in some detail. Also discussed are the dual state reconstruction problem, the deadbeat control of linear systems with inaccessible state, and other extensions. The exposition is a unifying one and involves only that matrix algebra commonly encountered in control theory.
📜 SIMILAR VOLUMES
CONSIDER a staged process whose transformation equations A are given by UN" = (~"0, &)&+'. Thus,
## Abstract The relationship between the spectral radius and the decay rate for discrete stochastic systems is investigated. Several equivalent conditions are obtained, which guarantee a specified decay rate of the closed‐loop systems. Based on the relationship, this paper provides a design method