Mismatch and the optimal control of linear systems with time delays
| Autor: | J. E. Marshall, R. D. Hocken |
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| Rok vydání: | 2007 |
| Předmět: |
Scheme (programming language)
Time delays Mathematical optimization Control and Optimization Applied Mathematics Control (management) Linear system State (functional analysis) Linear-quadratic-Gaussian control Optimal control Control and Systems Engineering Control theory computer Equivalence (measure theory) Software Mathematics computer.programming_language |
| Zdroj: | Optimal Control Applications and Methods. 3:211-219 |
| ISSN: | 1099-1514 0143-2087 |
| Popis: | Two control schemes are devised to minimize a quadratic cost functional associated with a time varying linear system, when the linear system forms part of a plant that may contain delays in both control and measurement. Control scheme (1) makes use of prior knowledge of the initial state of the linear system, whereas control scheme (2) does not. Both control schemes contain models of the plant and any difference between plant and model is referred to as mismatch. Matched control scheme (1) is optimal, whereas matched control scheme (2) is optimal if and only if the plant does not contain measurement delay. As matched control scheme (2) is suboptimal for plant with delay in measurement, in this instance mismatch may improve performance. The type of mismatch which may produce this improvement is obtained using a concept referred to as equivalence. |
| Databáze: | OpenAIRE |
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