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Can I read A linear matrix inequality approach to H ~∞~ control on EtoBox?
A linear matrix inequality approach to H ~∞~ control by Pascal Gahinet; Pierre Apkarian is a Engineering article available to read on EtoBox.
What is A linear matrix inequality approach to H ~∞~ control about?
## Abstract The continuous‐ and discrete‐time __H__~∞~ control problems are solved via elementary manipulations on linear matrix inequalities (LMI). Two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems, and an LMI‐based parametrization of all __H__~∞~‐suboptimal controllers, including reduced‐order controllers. The solvability conditions involve Riccati inequalities rather than the usual indefinite Riccati equations. Alternatively, these conditions can be expressed as a system of three LMIs. Efficient convex optimization techniques are available to solve this system. Moreover, its solutions parametrize the set of __H__~∞~ controllers and bear important connections with the controller order and the closed‐loop Lyapunov functions. Thanks to such connections, the LMI‐based characterization of __H__~∞~ controllers opens new perspectives for the refinement of __H__~∞~ design. Applications to cancellation‐free design and controller order reduction are discussed and illustrated by examples.
Who reads A linear matrix inequality approach to H ~∞~ control?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Pascal Gahinet; Pierre Apkarian
- Publisher
- Wiley
- Published
- 1994
- Language
- EN
- Field
- Engineering (Physical Sciences)