Journal ArticleDOI
Optimal, constant I/O similarity scaling for full-information and state-feedback control problems
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In this paper, the authors considered the optimal constant scaling problem for the full-information H∞ control problem, and obtained the solution by transforming the original problem into a convex feasibility problem, specifically, a structured, linear matrix inequality.About:
This article is published in Systems & Control Letters.The article was published on 1992-10-01. It has received 135 citations till now. The article focuses on the topics: H-infinity methods in control theory & Linear matrix inequality.read more
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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
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.
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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.
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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.
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A convex characterization of gain-scheduled H/sub /spl infin// controllers
Pierre Apkarian,Pascal Gahinet +1 more
TL;DR: Extensions of H/sub /spl infin// synthesis techniques to allow for controller dependence on time-varying but measured parameters are discussed and simple heuristics are proposed to compute robust time-invariant controllers.
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.
Analysis of feedback systems with structured uncertainties
TL;DR: In this article, a general approach for analysing linear systems with structured uncertainty based on a new generalised spectral theory for matrices is introduced, which naturally extend techniques based on singular values and eliminate their most serious difficulties.
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Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
TL;DR: In this paper, the problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency domain results on H/sup infinity / optimization.
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State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivity
Keith Glover,John Doyle +1 more
TL;DR: In this paper, the relationship between robust and stochastic control is established, giving an equivalence between robust control and control with respect to the Riccati Equation (RCE).