Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities
| Autor: | Christopher Guiver, Max E. Gilmore, Hartmut Logemann |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Applied Mathematics Quantization (signal processing) Multivariable calculus 010102 general mathematics Context (language use) 02 engineering and technology 01 natural sciences Square (algebra) Tracking error 020901 industrial engineering & automation Exponential stability Discrete time and continuous time Control theory Control system Anti-windup methods discrete-time input-to-state stability integral control quantization sampled-data control saturation well-posed infinite-dimensional systems 0101 mathematics Mathematics |
| ISSN: | 2156-8472 |
| Popis: | A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input nonlinearities and external disturbances. We derive a disturbance-to-state stability result which, in particular, guarantees that the tracking error converges to zero in the absence of disturbances. The discrete-time result is then used in the context of sampled-data low-gain integral control of stable well-posed linear infinite-dimensional systems with input nonlinearities. The sampled-date control scheme is applied to two examples (including sampled-data control of a heat equation on a square) which are discussed in some detail. |
| Databáze: | OpenAIRE |
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