AIAA Guidance, Navigation and Control Conference and Exhibit 2008
DOI: 10.2514/6.2008-6340
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A Verification-Driven Approach to Control Analysis and Tuning

Abstract: This paper proposes a methodology for the analysis and tuning of controllers using control verification metrics. These metrics, which are introduced in a companion paper, measure the size of the largest uncertainty set of a given class for which the closed-loop specifications are satisfied. This framework integrates deterministic and probabilistic uncertainty models into a setting that enables the deformation of sets in the parameter space, the control design space, and in the union of these two spaces. In reg… Show more

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Cited by 5 publications
(5 citation statements)
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“…Most, if not all, proposed approaches formulate the design task as an optimization problem, in which the merit function evaluation requires numerical simulation of the augmented system's timeresponse. For instance, (Crespo et al, 2008) develops optimization-based strategies for control analysis and tuning at the control verification stage, which build upon numerical evaluation of controller's performance metrics that require simulation of the augmented model. Other authors (dos Santos Coelho, 2009) suggest using chaotic optimization algorithms for enhancing the computational efficiency of the numerical optimization problem.…”
Section: Introductionmentioning
confidence: 99%
“…Most, if not all, proposed approaches formulate the design task as an optimization problem, in which the merit function evaluation requires numerical simulation of the augmented system's timeresponse. For instance, (Crespo et al, 2008) develops optimization-based strategies for control analysis and tuning at the control verification stage, which build upon numerical evaluation of controller's performance metrics that require simulation of the augmented model. Other authors (dos Santos Coelho, 2009) suggest using chaotic optimization algorithms for enhancing the computational efficiency of the numerical optimization problem.…”
Section: Introductionmentioning
confidence: 99%
“…The PSM has the same units as the uncertain parameters, and depends on the shape, but not the size, of the reference set. The sign convention enforced by γ in Equations (14,16) implies the following. If the PSM takes on a negative value, the controller does not even satisfy the requirements for nominal parameter point.…”
Section: Figures Of Merit For Deterministic Uncertainty Modelsmentioning
confidence: 99%
“…The need for assessing bad controllers results from the desire of searching for optimal ones in an automated fashion. 14 Formulations that enable the deformation of hyper-spherical and hyper-rectangular sets in the parameter space are presented in the next section. These formulations require solving an optimization problem.…”
Section: Set Deformationsmentioning
confidence: 99%
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“…Besides, the larger the value of ξ , the smaller the density of points over the surface of the approximated maximal set, and the greater the chance to converge to an overly large approximation of the true maximal set. Procedures to generate the p i points are available in reference [3].…”
Section: B Enlarging An Approximation To the Maximal Setmentioning
confidence: 99%