The parallel projection operators of a nonlinear feedback system
TLDR
In this article, the authors define a pair of nonlinear parallel projection operators associated with a nonlinear feedback system and show that these projections have equal norms whenever one of the feedback elements is linear.About:
This article is published in Systems & Control Letters.The article was published on 1993-02-01 and is currently open access. It has received 58 citations till now. The article focuses on the topics: Operator theory & Nonlinear control.read more
Citations
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Book
Fundamental Limitations in Filtering and Control
TL;DR: This book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems, featuring particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness.
Journal ArticleDOI
On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation
TL;DR: In this paper, it was shown that the linear feedback law suggested by the passivity approach indeed provides stability, with respect to every $L^p$-norm, and explicit bounds on closed-loop gains were obtained.
Journal ArticleDOI
Robustness analysis of nonlinear feedback systems: an input-output approach
TL;DR: A notion of model uncertainty based on the closeness of input-output trajectories which is not tied to a particular uncertainty representation, such as additive, parametric, structured, etc. is pursued.
Journal ArticleDOI
Graphs, causality, and stabilizability: Linear, shift-invariant systems on ℒ2[0, ∞)
TL;DR: The graph of the system (operator) plays a unifying role in the definitions and results, and the natural partial order on graphs (viewed as subspaces) and its relevance to systems theory is discussed.
Journal ArticleDOI
On the continuity and incremental‐gain properties of certain saturated linear feedback loops
TL;DR: In this paper, continuity and incremental gain properties for neutrally stable linear systems under linear feedback subject to actuator saturation are discussed. But their results are limited to linear feedback.
References
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Journal ArticleDOI
On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity
TL;DR: In this article, the authors outline a stability theory for input-output problems using functional methods and derive open loop conditions for the boundedness and continuity of feedback systems, without, at the beginning, placing restrictions on linearity or time invariance.
Book
Robust Controller Design Using Normalized Coprime Factor Plant Descriptions
Keith Glover,Duncan McFarlane +1 more
TL;DR: A load dumping vehicle including a frame, a gas turbine engine supported by the frame and a dump body pivotally connected to theframe for movement relative to the frame between a load carrying position and adump position.
Journal ArticleDOI
Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty
Keith Glover,Duncan McFarlane +1 more
TL;DR: In this article, the problem of robustly stabilizing a family of linear systems is explicitly solved in the case where the family is characterized by H/sub infinity / bounded perturbations to the numerator and denominator of the normalized left coprime factorization of a nominal system.
Journal ArticleDOI
Optimal robustness in the gap metric
TL;DR: In this article, a solution to the problem of robustness optimization in the gap metric is presented, and the least amount of combined controller uncertainty that can cause instability of a nominally stable feedback system is determined.
Book
Stability and Robustness of Multivariable Feedback Systems
TL;DR: 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.