Journal ArticleDOI
H ∞ guaranteed cost control for uncertain continuous-time linear systems
TLDR
In this article, the authors considered the H ∞ guaranteed cost control problem for continuous-time uncertain systems, which consists of the determination of a stabilizing state feedback gain which imposes on all possible closed-loop models an upper bound γ > 0.About:
This article is published in Systems & Control Letters.The article was published on 1993-06-01. It has received 75 citations till now. The article focuses on the topics: Convex optimization & Linear system.read more
Citations
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Journal ArticleDOI
All controllers for the general H ∞ control problem: LMI existence conditions and state space formulas
TL;DR: The existence conditions are equivalent to Scherer's results, but with a more elementary derivation, and the set of all H∞ controllers explicitly parametrized in the state space using the positive definite solutions to the LMIs is provided.
Journal ArticleDOI
Optimal linear filtering under parameter uncertainty
TL;DR: The present case of convex bounded parameter uncertainty, the basic numerical design tools are linear matrix inequality (LMI) solvers instead of the Riccati equation solvers used for the design of robust filters available in the literature to date.
Journal ArticleDOI
Static output feedback controllers: stability and convexity
TL;DR: This paper provides a new sufficient condition for the solvability of the above stabilizing output feedback control problem and discusses a simple procedure for the determination of a stabilizingoutput feedback gain assuring good suboptimal performance with respect to a given quadratic index.
Journal ArticleDOI
Convex analysis of output feedback control problems: robust stability and performance
TL;DR: This paper addresses the problem of optimal H/sub 2/ control by output feedback by providing necessary and sufficient conditions on the existence of a linear stabilizing output feedback gain in terms of the intersection of a convex set and a set defined by a nonlinear real valued function.
Journal ArticleDOI
Optimal guaranteed cost control of uncertain discrete time-delay systems
TL;DR: In this paper, the authors considered the problem of robust guaranteed cost control of linear discrete time-delay systems with parametric uncertainties and developed a control design method such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays.
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.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Journal ArticleDOI
LQG control with an H/sup infinity / performance bound: a Riccati equation approach
TL;DR: In this article, an LQG (linear quadratic Gaussian) control-design problem involving a constraint on H/sup infinity / disturbance attenuation is considered, and an algorithm is developed for the full-order design problem and illustrative numerical results are given.
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.