Journal•
Robust Control Design
About: Robust Control Design is an academic journal. The journal publishes majorly in the area(s): Optimization problem & H-infinity methods in control theory. Over the lifetime, 4 publications have been published receiving 12 citations.
Topics: Optimization problem, H-infinity methods in control theory, Control theory, Anisotropy, Reduction (complexity)
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Journal Article•
TL;DR: In this article, the authors present new control laws synthesis methods which can be applied to the attitude control of flexible structures, based on the structured H ∞ synthesis and the acceleration sensitivity formulation, which is extended to mechanical systems with non-actuated flexible modes.
Abstract: Abstract This paper presents new control laws synthesis methods which can be applied to the attitude control of flexible structures. These methods are based on the structured H ∞ synthesis and the acceleration sensitivity formulation which is here extended to mechanical systems with non-actuated flexible modes. These methods are applied on an academic spring-masses example, which is representative of a flexible structure. The proposed approach is compared with classical proportional-derivative control and full order H ∞ control in terms of closed-loop dynamics. A particular attention is drawn on the avoidance of pole-zero cancellations and the fact that the required bandwidth is close to the flexible dynamics.
6 citations
Journal Article•
TL;DR: In this article, sufficient dilated linear matrix inequalities (LMI) conditions were proposed for the H ∞ and H 2 model reduction problem, and an iterative algorithm based on dilated LMIs was proposed to significantly improve the approximation bound.
Abstract: Abstract This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H ∞ and H 2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n / s where n,r,s ɛ N . Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output system norms. The use of dilated LMI conditions facilitates model reduction of parameter-dependent systems. When a reduced model determined by the sufficient LMI conditions does not satisfactorily approximates the original system, an iterative algorithm based on dilated LMIs is proposed to significantly improve the approximation bound. The effectiveness of the method is accessed by numerical experiments. The method is also applied to the H 2 order reduction of a flexible wind turbine model.
3 citations
Journal Article•
2 citations
Journal Article•
TL;DR: In this paper, a rigorous analytic solution to the ℒ2-optimization problem for linear MIMO sampled-data systems with pure time-delays on basis of the parametric transfer matrix concept is provided.
Abstract: Abstract The paper provides a rigorous analytic solution to the ℒ2-optimization problem for linear MIMO sampled-data systems with pure time-delays on basis of the parametric transfer matrix concept. The problem is singular, and the solutions are given as a parametrized set. General properties of the optimal system are investigated, especially fixed poles.
1 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2012 | 3 |
| 2009 | 1 |