Semi-decentralized approximation of optimal control of distributed systems based on a functional calculus
| Autor: | Michel Lenczner, N. Ratier, Y. Yakoubi |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Control and Optimization Applied Mathematics Hilbert space 010103 numerical & computational mathematics 02 engineering and technology Time-scale calculus Linear-quadratic regulator Linear-quadratic-Gaussian control Optimal control 01 natural sciences Algebraic Riccati equation Functional calculus symbols.namesake 020901 industrial engineering & automation Control and Systems Engineering Riccati equation symbols Applied mathematics 0101 mathematics Software Mathematics |
| Zdroj: | Optimal Control Applications and Methods. 36:422-446 |
| ISSN: | 0143-2087 |
| DOI: | 10.1002/oca.2115 |
| Popis: | Summary This paper discusses a new approximation method for operators that are solution to an operational Riccati equation. The latter is derived from the theory of optimal control of linear problems posed in Hilbert spaces. The approximation is based on the functional calculus of self-adjoint operators and the Cauchy formula. Under a number of assumptions, the approximation is suitable for implementation on a semi-decentralized computing architecture in view of real-time control. Our method is particularly applicable to problems in optimal control of systems governed by partial differential equations with distributed observation and control. Some relatively academic applications are presented for illustration. More realistic examples relating to microsystem arrays have already been published. Copyright © 2014 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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