Proceedings ArticleDOI
An introduction to a nonlinear programming approach to optimal continuous robust parametric H 2 control
P. O. Shirley,João M. Lemos +1 more
- pp 582-587
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A parametric H2 optimal control problem for linear continuous time-invariant systems is discussed and several parametric robust design problems are formulated.Abstract:
A parametric H 2 optimal control problem for linear continuous time-invariant systems is discussed. The control setup allows that any matrix coefficient of a system state space description be subjected to parameter uncertainties. Controllers with any order and any structure can be synthesized by recasting it as a Static Output Feedback problem. A modified H 2 cost functional that allows to start the optimization with a non stabilizing controller is used. First and second order derivatives for the modified H 2 cost functional with respect to system uncertainties and controller parameters are given. Based on this setup, several parametric robust design problems are formulated.read more
Citations
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Journal ArticleDOI
A solution to the insensitive h2 problem and its application to automotive control design
Mohamed Yagoubi,Philippe Chevrel +1 more
TL;DR: In this paper, an Iterative LMI based ILMI algorithm was proposed to solve the parametric sensitivity H 2 control (IH 2 ) problem for a single parameter of the process to control.
Proceedings ArticleDOI
Model analysis and control of a four segment irrigation canal
TL;DR: In this article, a case study based on a multivariable model of an experimental four segment irrigation canal is presented and a control framework based on static output feedback and the H2 norm is presented.
References
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Multivariable Feedback Design
TL;DR: In this article, a comprehensive and unified view of modern multivariate feedback theory and design is presented, where balancing techniques with theory, the objective throughout is to enable the feedback engineer to design real systems.
Journal ArticleDOI
On the determination of the optimal constant output feedback gains for linear multivariable systems
William S. Levine,Michael Athans +1 more
TL;DR: In this article, the optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed and an algorithm for computing FAST is presented.
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Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
TL;DR: In this article, the authors investigated the problem of computing mu in the case of mixed real parametric and complex uncertainty and showed that the problem is equivalent to a smooth constrained finite-dimensional optimization problem.
Journal ArticleDOI
Computational methods for parametric LQ problems--A survey
P. Makila,H. Toivonen +1 more
TL;DR: It is shown that the concepts and methods surveyed in this paper are useful in solving many realistic generalized parametric LQ problems as well, notably so-called robust parametricLQ problems.
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