Parameter dependent H_infinity controller design by finite dimensional LMI optimization: application to trade-off dependent control
| Authors: | Marc Dinh, GREYC, France, Metropolitan
Scorletti Gerard, GREYC, France, Metropolitan
Fromion Vincent, INRA, France, Metropolitan
Magarotto Eric, GREYC, France, Metropolitan |
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| Topic: | 2.5 Robust Control |
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| Session: | Robust Controller Synthesis with LMI's |
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| Keywords: | Parameter dependent H_infinity controlLinear Matrix Inequality (LMI) optimizationtrade-off dependent control |
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Abstract
The design of a parameter dependent H_infinity controller for a parameter dependent plant is considered. A solution can be proposed as a parameter dependent LMI optimization problem, that is, an infinite dimensional problem. In the case of rational dependence, an approach is proposed involving an optimization problem over parameter independent LMI constraints (which is finite dimensional). The obtained conditions are less conservative than previous ones. An application to the trade-off dependent controller design with the control of a DC motor is developed to emphasize the interest of our approach.
