Journal ArticleDOI
Induced L2-norm control for LPV systems with bounded parameter variation rates
TLDR
This work uses a bounding technique based on a parameter-dependent Lyapunov function, and then solves the control synthesis problem by reformulating the existence conditions into a semi-infinite dimensional convex optimization.Abstract:
A linear, finite-dimensional plant, with state-space parameter dependence, is controlled using a parameter-dependent controller. The parameters whose values are in a compact set, are known in real time. Their rates of variation are bounded and known in real time also. The goal of control is to stabilize the parameter-dependent closed-loop system, and provide disturbance/error attenuation as measured in induced L2 norm. Our approach uses a bounding technique based on a parameter-dependent Lyapunov function, and then solves the control synthesis problem by reformulating the existence conditions into a semi-infinite dimensional convex optimization. We propose finite dimensional approximations to get sufficient conditions for successful controller design.read more
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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
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
Advanced gain-scheduling techniques for uncertain systems
Pierre Apkarian,Richard Adams +1 more
TL;DR: Two alternative design techniques for constructing gain-scheduled controllers for uncertain linear parameter-varying systems are discussed and are amenable to linear matrix inequality problems via a gridding of the parameter space and a selection of basis functions.
Journal ArticleDOI
A tutorial on linear and bilinear matrix inequalities
TL;DR: In this article, a tutorial on the mathematical theory and process control applications of linear matrix inequalities and bilinear matrix inequalities (BMIs) is presented, and a software for solving LMI and BMI problems is reviewed.
Journal ArticleDOI
A subspace approach to balanced truncation for model reduction of nonlinear control systems
TL;DR: A new method of model reduction for nonlinear control systems is introduced, which requires only standard matrix computations and shows that when it is applied to linear systems it results in the usual balanced truncation.
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