Abstract
We show that if we first design a controller for a continuous-time nonlinear plant with disturbances so that it achieves a certain dissipation inequality for the continuous-time closed-loop system and then implement it as a sampled-data controller using a sampler and zero order hold, then the dissipation inequality will be preserved for the exact discrete-time model of the sampled data closed-loop system in a semiglobal practical sense (the sampling period is the parameter that we can adjust). Moreover, a similar statement is proved for open-loop systems, where controls are considered as free variables. Two different forms of dissipation inequalities are considered for the exact discrete-time models: the "weak" form and the "strong" form.
| Original language | English |
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| Pages | 2472-2477 |
| DOIs | |
| Publication status | Published - 6 Aug 2002 |
| Event | 39th IEEE Conference on Decision and Control - Sydney, Australia Duration: 12 Dec 2000 → 15 Dec 2000 |
Conference
| Conference | 39th IEEE Conference on Decision and Control |
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| Country/Territory | Australia |
| City | Sydney |
| Period | 12/12/00 → 15/12/00 |
Bibliographical note
The full text is currently unavailable on the repository.Keywords
- Sampling methods
- Nonlinear control systems
- Control systems
- Open loop systems
- Stability
- Design methodology
- Nonlinear systems
- Linear systems
- Differential equations
- Data systems
- discrete time systems
- control system synthesis
- nonlinear control systems
- stability
- closed loop systems
- sampled data systems
- open-loop systems
- dissipation inequality preservation
- sampling
- controller design
- continuous-time nonlinear plant
- continuous-time closed-loop system
- sampled-data controller
- zero order hold
- dissipation inequality
- exact discrete-time model
- sampled data closed-loop system
- semiglobal practical sense