Corpus ID: 2658018
Robust Control Tools: Graphical User-Interfaces and LMI Algorithms
Stephen P. Boyd
Published 1994

Computer Science, Mathematics
Abstract : Robust control theory considers a fundamental and practically important issue in control engineering: plant uncertainty. It turns out that many of the simplest questions are very difficult… Expand
Stanford.Edu
Share This Paper
10 Citations
Background Citations
2
Methods Citations
3
Topics from this paper
Robust control
Control theory
Convex optimization
Control engineering
Simulation
Algorithm
Mathematical optimization
10 Citations
Revisiting and generalizing the dual iteration for static and robust output‐feedback synthesis
Tobias Holicki, C. Scherer
Computer Science, Mathematics
2020
TLDR
This work provides a novel control theoretic interpretation of the individual steps of the dual iteration, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. Expand
A global optimization approach for the BMI problem
K. Goh, M. Safonov, G. Papavassilopoulos
Mathematics
Proceedings of 1994 33rd IEEE Conference on Decision and Control
1994
The biaffine matrix inequality (BMI) is a potentially very flexible new framework for approaching complex robust control system synthesis problems with multiple plants, multiple objectives and… Expand
228 Citations
PDF
Analysis and synthesis tools for a class of actuator-limited multivariable control systems: A linear matrix inequality approach
Vincent R. Marcopoli, S. Phillips
Mathematics
1996
58 Citations
CRCD program: convex optimization for engineering analysis and design
Stephen P. Boyd, L. Vandenberghe
Engineering
Proceedings of 1995 American Control Conference - ACC'95
1995
The focus of this NSF-supported combined research and curriculum development (CRCD) project is convex optimization applied to engineering analysis and design. The basic idea is that many analysis and… Expand
2 Citations
Linear Matrix Inequalities in System and Control Theory [Book Reviews]
Stephen P. Boyd, L. Ghaoui, E. Feron, V. Balakrishnan
Computer Science
IEEE Transactions on Automatic Control
1997
TLDR
This chapter discusses Transformations in Applications, Functional Analysis and Approximation Theory in Numerical Analysis, and Mathematical Problems in Linear Viscoelasticity. Expand
894 Citations
PDF
Worst-case state estimation and simulation of uncertain discrete-time systems using zonotopes
V. Puig, P. Cugueró, J. Quevedo
Mathematics, Computer Science
2001 European Control Conference (ECC)
2001
TLDR
The proposed algorithm avoids one of the main problems of worst-case estimation and simulation, the problem on exponentially grow of uncertainty due to the wrapping effect with low computational cost. Expand
46 Citations
NERI PROJECT 99-119. TASK 1. ADVANCED CONTROL TOOLS AND METHODS. FINAL REPORT
J. March-Leuba
Engineering
2002
Nuclear plants of the 21st century will employ higher levels of automation and fault tolerance to increase availability, reduce accident risk, and lower operating costs. Key developments in control… Expand
Development of MATLAB tools and case study for multirate control design
L. Qiu, Tongwen Chen, +4 authors H. Shu
Computer Science
Proceedings of 35th IEEE Conference on Decision and Control
1996
This paper reports on the development of MATLAB tools for analysis and design of multirate control systems. The routines developed are applied to a case study of designing power system stabilizers.
4 Citations
Stability Analysis of RF Power Amplifier Envelope Feedback
A. Kheirkhahi, P. Naghshtabrizi, L. Larson
Mathematics, Computer Science
IEEE Transactions on Circuits and Systems II: Express Briefs
2011
TLDR
Envelope feedback loop stability criteria are derived based on the Lyapunov stability theorem for time-varying systems using the linear matrix inequality technique and are in good agreement with simulation and measurement results. Expand
4 Citations
Closed-Loop Calibration of the Interaction Matrix for New Generation Adaptive Optics Systems: A Least Cost Identification Approach
Fatih Han Çağlayan
Engineering
2017
Recently, with the switch to the new generation adaptive optics systems like the VLT and ELT an important identification problem emerged. These telescopes are so-called integrated systems, which… Expand
References
SHOWING 1-10 OF 32 REFERENCES
Stability and Robustness of Multivariable Feedback Systems
M. Safonov
Computer Science
1980
TLDR
The book provides a methodology for the rigorous treatment of such inherently feedback aspects of dynamical system design as robustness and sensitivity, just as many researchers are beginning to realize that this type of methodology is mandatory if modern systems theory is to be used to design complicated multivariable and large-scale systems. Expand
387 Citations
Quadratic Stabilization and Robust Disturbance Attenuation Using Parametrization of Stabilizing State Feedback Gains - Convex Optimization Approach
A. Ohara, I. Masubuchi, N. Suda
Mathematics1993 American Control Conference
1993
This paper proposes a new approach to construct a state feedback such that satisfies multiple design specifications, using convex optimization technique and a parametrization of all stabilizing state… Expand
8 Citations
Stability margins of diagonally perturbed multivariable feedback systems
M. Safonov
Mathematics
1982
For diagonally perturbed linear time-invariant multivariable feedback systems, the problem of finding an improved characterisation of the stability margin is examined. A readily computable lower… Expand
332 Citations
A primal—dual potential reduction method for problems involving matrix inequalities
L. Vandenberghe, Stephen P. Boyd
Mathematics, Computer ScienceMath. Program.
1995
TLDR
The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga and Todd's method for linear programming and proves an overallworst-case operation count of O(m5.5L1.5). Expand
273 Citations
PDF
Method of Centers for Minimizing Generalized Eigenvalues
Stephen P. Boyd, L. Ghaoui
Mathematics
1993
Abstract We consider the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices, each of which depends affinely on the decision variables. Although this problem may… Expand
Numerical methods of Lyapunov function construction and their application to the absolute stability problem
Ye.S. Pyatnitskiy, V. I. Skorodinskiy
Mathematics
1982
The minimax approach is used to study numerical selection of a Lyapunov function from a multiparameter class of functions. A numerical method is suggested for plotting an absolute stability region in… Expand
56 Citations
Analysis of Feedback Systems with Structured Uncertainty
J. Doyle
Mathematics, Computer Science
1982
The paper introduces a general approach for analysing linear systems with structured uncertainty based on a new generalised spectral theory for matrices. The results of the paper naturally extend… Expand
2,020 Citations
Absolute stability of nonlinear control systems
F. R. Gantmakher
Mathematics
1968
Differential equation describing nonlinear control systems, and literature survey on using Liapunov functions for problem solutions
30 Citations
Software package for optimization-based design with user-supplied simulators
M. Fan, Li-Sheng Wang, J. Koninckx, A. Tits
Computer Science
IEEE Control Systems Magazine
1989
User-machine interaction is a central component of CONSOLE, a recently developed design package. This allows repeated intervention of the designer to deal with multiple trade-offs that appear in the… Expand
23 Citations
Linear Matrix Inequalities in Systems and Control Theory
Stephen P. Boyd
Computer Science
1994
11,340 Citations
...
1
2
3
4
...
SORT BY
Related Papers
Recent advances in robust optimization: An overview
V. Gabrel, C. Murat, A. Thiele
Computer ScienceEur. J. Oper. Res.
2014
TLDR
An overview of developments in robust optimization since 2007 is provided to give a representative picture of the research topics most explored in recent years, highlight common themes in the investigations of independent research teams and highlight the contributions of rising as well as established researchers both to the theory of robust optimization and its practice.
599 Citations
Searching and critiquing the research literature.
A. Wakefield
Computer Science, Medicine
Nursing standard (Royal College of Nursing (Great…
2014
TLDR
The reader is able to present a coherent debate on the state of the literature and how this might be used to construct a comprehensive rationale for why further research or analysis of clinical practice may be needed in relation to a particular topic of interest.
27 Citations
Show More
2/10
Abstract
Topics
10 Citations
32 References
Related Papers
Stay Connected With Semantic Scholar
What Is Semantic Scholar?
Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI.
Learn More
About
About Us
Publishers
Beta Program
Contact
Research
Team
Datasets
Open Corpus
Supp.ai
Resources
Librarians
Tutorials
FAQ
API
Proudly built by AI2
Terms of ServicePrivacy Policy
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License
ACCEPT & CONTINUE