Prediction-error identification of LPV systems: A nonparametric Gaussian regression approach
| Autor: | PB Pepijn Cox, Mohamed Abdelmonim Hassan Darwish, Gianluigi Pillonetto, Roland Tóth, Ioannis Proimadis |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Computer science Gaussian Gaussian processes 02 engineering and technology Bayesian identification Box–Jenkins models Linear parameter-varying systems Machine learning Prediction-error identification Regularization Reproducing kernel Hilbert space System identification Scheduling (computing) symbols.namesake 020901 industrial engineering & automation Exponential stability 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Gaussian process 020208 electrical & electronic engineering Nonparametric statistics Control and Systems Engineering Control system symbols |
| Zdroj: | Automatica. 97:92-103 |
| ISSN: | 0005-1098 |
| DOI: | 10.1016/j.automatica.2018.07.032 |
| Popis: | We consider networked control systems (NCSs) composed of a linear plant and a linear controller interconnected by packet-based communication channels with communication constraints. We are interested in the setup where direct-feedthrough terms are present in the plant and/or in the controller, a case that is largely ignored in the literature due to its inherent complexity and counterintuitive results in the analysis despite its relevance for important classes of controllers including Proportional–Integral (PI) regulators. This setup calls for a novel stability analysis, for which we take a renewed look at the concept of uniformly globally exponentially stable (UGES) scheduling protocols that turned out to be instrumental in earlier approaches. We provide a generalization of the UGES property, called -UGES with being the direct-feedthrough matrices of the plant/controller, respectively, and we present generic conditions on these direct-feedthrough terms such that the classical UGES property of scheduling protocols implies -UGES. This allows us to derive conditions leading to a maximally allowable transmission interval (MATI) such that stability of the overall NCS is guaranteed. In addition, it is shown that it is possible to get more tailored results for the well-known sampled-data (SD), round-robin (RR), and try-once-discard (TOD) protocols leading to less conservative conditions on the direct-feedthrough terms than the generic ones. We also introduce new -UGES scheduling protocols, designed to handle the direct-feedthrough terms in a more effective way than existing protocols. Our results are illustrated using the example of a batch reactor. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect