Journal ArticleDOI
Guaranteed properties of gain scheduled control for linear parameter-varying plants
Jeff S. Shamma,Michael Athans +1 more
TLDR
Conditions are given which guarantee that the stability, robustness, and performance properties of the fixed operating point designs carry over to the global gain scheduled design, such as the scheduling variable should “vary slowly.”About:
This article is published in Automatica.The article was published on 1991-04-01. It has received 656 citations till now. The article focuses on the topics: Gain scheduling & Linear parameter-varying control.read more
Citations
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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.
Journal ArticleDOI
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.
Journal ArticleDOI
Survey of Gain-Scheduling Analysis & Design
TL;DR: The scope of this paper includes the main theoretical results and design procedures relating to continuous gain-scheduling (in the sense of decomposition of non-linear design into linear sub-problems) control with the aim of providing both a critical overview and a useful entry point into the relevant literature.
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.
References
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Book
Theory of Functional Differential Equations
TL;DR: In this paper, Liapunov functional for autonomous systems is used to define the saddle point property near equilibrium and periodic orbits for linear systems, which is a generalization of the notion of stable D operators.
Book
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
Journal ArticleDOI
Multivariable feedback design: Concepts for a classical/modern synthesis
John Doyle,Gunter Stein +1 more
TL;DR: This paper presents a practical design perspective on multivariable feedback control problems and generalizes known single-input, single-output (SISO) statements and constraints of the design problem to multiinput, multioutput (MIMO) cases.
Book
Ordinary and Delay Differential Equations
Rodney D. Driver,Jack K. Hale +1 more
TL;DR: In this paper, the authors consider the stability properties of functional differential equations with infinite delay, and show that the stability of these equations can be characterized by the existence of periodic solutions to these problems.
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.
Related Papers (5)
A convex characterization of gain-scheduled H/sub /spl infin// controllers
Pierre Apkarian,Pascal Gahinet +1 more