Preservation of dissipativity under multirate sampling with application to nonlinear H<inf>&#x221E;</inf> control
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Bibliographic record
Abstract
This paper deals with a common practical problem where the output of a nonlinear sampled-data system is constrained to be measured at a relatively lower sampling rate. Designing a continuous-time controller that satisfies a specific dissipation inequality, the dissipativity of the digitally implementation of the emulated controller in a multirate control scheme is analyzed. It is shown that the closed-loop multirate system preserves similar dissipation inequality for the state feedback law in a semiglobal practical sense. Moreover, we propose a unified framework for designing nonlinear multirate sampled-data control systems in presence of disturbance inputs via emulation method and the multirate nonlinear H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control is addressed as a special application. Simulation results validate that the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance criterion is achieved not only with a preferable behavior but also under much lower measurement sampling rate, in comparison with the fast single-rate setup.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
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| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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