Journal ArticleDOI
A stabilization algorithm for a class of uncertain linear systems
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In this paper, the authors present an algorithm for the stabilization of a class of uncertain linear systems, which is described by state equations which depend on time-varying unknown-but-bounded uncertain parameters.About:
This article is published in Systems & Control Letters.The article was published on 1987-03-01. It has received 1483 citations till now. The article focuses on the topics: Riccati equation & Algebraic Riccati equation.read more
Citations
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Journal ArticleDOI
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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Robust stability and stabilization for singular systems with state delay and parameter uncertainty
TL;DR: A strict linear matrix inequality (LMI) design approach is developed that solves the problems of robust stability and stabilization for uncertain continuous singular systems with state delay via the notions of generalized quadratic stability and generalizedquadratic stabilization.
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Robust H/sub infinity / control for linear systems with norm-bounded time-varying uncertainty
Lihua Xie,E. de Souza Carlos +1 more
TL;DR: In this article, a robust H/sub infinity / control design for linear systems with uncertainty in both the state and input matrices is treated, and a state feedback control design which stabilizes the plant and guarantees an H/ sub infinity /-norm bound constraint on disturbance attenuation for all admissible uncertainties is presented.
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Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
TL;DR: This paper addresses the problem of robust state feedback control in which both robust stochastic stability and a prescribed H/sub /spl infin// performance are required to be achieved irrespective of the uncertainty and time delay.
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Observer design for a class of nonlinear systems
Sekhar Raghavan,J. Karl Hedrick +1 more
TL;DR: In this paper, a viable design methodology to construct observers for a class of nonlinear systems is developed, based on the off-line solution of a Riccati equation, and can be solved using commercially available software packages.
References
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Book
Nonlinear Systems Analysis
TL;DR: In this article, the authors consider non-linear differential equations with unique solutions, and prove the Kalman-Yacubovitch Lemma and the Frobenius Theorem.
Journal ArticleDOI
Nonlinear Systems Analysis
TL;DR: Non-linear Differential Equations with Unique Solutions, Proof of the Kalman-Yacubovitch Lemma and proof of the Frobenius Theorem.
Journal ArticleDOI
A Riccati equation approach to the stabilization of uncertain linear systems
TL;DR: The fundamental idea behind the algorithm presented involves constructing an upper bound for the Lyapunov derivative corresponding to the closed loop system, a quadratic form, which can be found by solving a certain matrix Riccati equation.
Journal ArticleDOI
Adaptive guaranteed cost control of systems with uncertain parameters
Sheldon S. L. Chang,T. Peng +1 more
TL;DR: Guaranteed cost control is a method of synthesizing a closed-loop system in which the controlled plant has large parameter uncertainty as mentioned in this paper, and it can be incorporated into an adaptive system by either online measurement and evaluation or prior knowledge on the parametric dependence of a certain easily measured situation parameter.
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Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
TL;DR: In this article, a notion of quadratic stabilizability is defined and the Lyapunov function and the control are constructed using only the bounds ℛ,L.