Journal ArticleDOI
Gain scheduling via linear fractional transformations
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This article is published in Systems & Control Letters.The article was published on 1994-02-01. It has received 1059 citations till now. The article focuses on the topics: Gain scheduling & Linear parameter-varying control.read more
Citations
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Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Book
Essentials of Robust Control
Kemin Zhou,John Doyle +1 more
TL;DR: In this article, the authors introduce linear algebraic Riccati Equations and linear systems with Ha spaces and balance model reduction, and Ha Loop Shaping, and Controller Reduction.
Journal ArticleDOI
H/sub /spl infin// design with pole placement constraints: an LMI approach
M. Chilali,Pascal Gahinet +1 more
TL;DR: This paper addresses the design of state- or output-feedback H/sub /spl infin// controllers that satisfy additional constraints on the closed-loop pole location by derived in terms of linear matrix inequalities (LMIs).
Journal ArticleDOI
Survey Research on gain scheduling
Wilson J. Rugh,Jeff S. Shamma +1 more
TL;DR: Current research on gain scheduling is clarifying customary practices as well as devising new approaches and methods for the design of nonlinear control systems.
Journal ArticleDOI
Self-scheduled H ∞ control of linear parameter-varying systems: a design example
TL;DR: The methodology presented in this paper is applied to the gain scheduling of a missile autopilot and is to bypass most difficulties associated with more classical schemes such as gain-interpolation or gain-scheduling techniques.
References
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Journal ArticleDOI
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Proceedings ArticleDOI
State-space solutions to standard H 2 and H ∞ control problems
TL;DR: In this article, simple state-space formulas are presented for a controller solving a standard H∞-problem, where the controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG theory.
Journal ArticleDOI
The complex structured singular value
Andrew Packard,John Doyle +1 more
TL;DR: A tutorial introduction to the complex structured singular value (μ) is presented, with an emphasis on the mathematical aspects of μ.
Journal ArticleDOI
Analysis of gain scheduled control for nonlinear plants
Jeff S. Shamma,Michael Athans +1 more
TL;DR: In this paper, conditions which guarantee stability, robustness, and performance properties of the global gain schedule designs are given, which confirm and formalize popular notions regarding gain scheduled designs, such as that the scheduling variable should vary slowly, and capture the plant's nonlinearities.
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A convex characterization of gain-scheduled H/sub /spl infin// controllers
Pierre Apkarian,Pascal Gahinet +1 more