Journal ArticleDOI
Sensitivity reduced optimal linear regulator with prescribed closed-loop eigenvalues
TLDR
In this article, a sensitivity reduced optimal linear regulator with prescribed closed-loop eigenvalues is proposed, based on both pole placement and optimal control, and an efficient computational procedure based on direct cost optimization using a gradient type algorithm is also reported.Abstract:
In this note, the design technique given by Sebakhy and Sorial [1], based on both pole placement and optimal control, is extended to obtain a sensitivity reduced optimal linear regulator with prescribed closed-loop eigenvalues. An efficient computational procedure based on direct cost optimization using a gradient type algorithm is also reported.read more
Citations
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Book ChapterDOI
Sensitivity Reduction and Robustness
TL;DR: In Chapters Two to Five the authors devote their attentions primarily to issues regarding parameter-sensitivity analysis, and incorporate in control synthesis algorithm any information regarding possible discrepancies in system “output”, in order to generate new controllers that can stand against the consequences of some possible uncertainties.
Journal ArticleDOI
Optimal regulators using time-weighted quadratic performance index with prespecified closed-loop eigenvalues
Bong-Hwan Kwon,Myung-Joong Youn +1 more
TL;DR: In this article, a time-weighted quadratic performance index for linear time-invariant systems is proposed for the prespecified closed-loop eigenvalues.
Proceedings ArticleDOI
Design of optimal linear regulators with steady-state trajectory insensitivity
TL;DR: In this paper, the optimal linear regulators with steady-state trajectory insensitivity are designed based on a quadratic performance index which includes a time-multiplied quadrastic function of the trajectory sensitivity vector.
Journal ArticleDOI
Reduced-order controller design with low sensitivity to small feedback delays
Hossein M. Oloomi,Bahram Shafai +1 more
TL;DR: Using the singular perturbation and sensitivity theories, a controller is designed that reduces the trajectory sensitivity to small feedback delays and a numerical algorithm for the computation of the feedback gain is presented.
Proceedings ArticleDOI
Low-Sensitivity Optimal Control with Prescribed Closed-loop Eigenvalues
Jian Zhou,Rajab Challoo +1 more
TL;DR: In this article, the problem of reducing sensitivity or linear time-invariant systems to parameter variations and small time-delay is considered, and an efficient computational procedure based on direct cost optimization using a gradient type algorithm is also reported.
References
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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.
Journal ArticleDOI
Solution of the optimal constant output feedback problem by conjugate gradients
H. Horisberger,P. Belanger +1 more
TL;DR: The problem of finding the optimal, constant output feedback matrix for linear time-invariant multivariable systems with quadratic cost is reconsidered and simple formulae for the gradient matrix are developed and used in a Fletcher-Powell-Davidon algorithm.
Journal ArticleDOI
Optimization of linear systems of constrained configuration
TL;DR: In this article, it is shown that for each of these criteria the gradient with respect to the feedbacks can be calculated by a uniform method and the solution may then be found either directly or by a descent procedure.
Journal ArticleDOI
Optimization of linear multivariable systems with prespecified closed-loop eigenvalues
O. Sebakhy,N. Sorial +1 more
TL;DR: In this paper, the optimal control of linear time-invariant systems, with respect to a given quarature performance criterion, is investigated when the closed-loop eigenvalues are prespecified.
Journal ArticleDOI
Optimal compensators with pole constraints
TL;DR: In this paper, the design freedom which remains after pole assignment is used to minimize a given quadratic performance index on the plant state and control, and an algorithm is developed to compute the optimal controller-observer set.