Journal ArticleDOI
Linear quadratic differential games with cheap control
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TLDR
In this paper, the authors considered a linear quadratic differential game in which the weighting on the minimizing control is allowed to approach zero and showed that if a certain minimum phase condition is satisfied then the value of the game will approach zero.About:
This article is published in Systems & Control Letters.The article was published on 1986-12-01. It has received 74 citations till now. The article focuses on the topics: Differential game & Riccati equation.read more
Citations
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Journal ArticleDOI
Output feedback H∞ control of systems with parameter uncertainty
TL;DR: In this paper, the authors dealt with H ∞ control problem for systems with parametric uncertainty in all matrices of the system and output equations and derived necessary and sufficient conditions for quadratic stability with disturbance attenuation.
Journal ArticleDOI
Optimal guaranteed cost control and filtering for uncertain linear systems
Ian R. Petersen,Duncan McFarlane +1 more
TL;DR: The paper presents results on the design of robust state feedback controllers and steady-state robust state estimators for a class of uncertain linear systems with norm bounded uncertainty.
Journal ArticleDOI
Disturbance attenuation and H^{∞} optimization: A design method based on the algebraic Riccati equation
TL;DR: In this paper, a method for designing a state feedback control law to reduce the effect of disturbances on the output of a given linear system is presented. But this method requires the solution of a certain algebraic Riccati equation.
The H ∞ control problem: a state space approach
TL;DR: The present book intends to describe the current state of this approach to ~® control, the so-called time domain or state space methods which were developed in the late 1980s.
Journal ArticleDOI
Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs
TL;DR: The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed, finding sufficient conditions obtained via a linear matrix inequality (LMI) formulation to guarantee both the local stabilization and the satisfaction of some performance requirements.
References
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Book
Linear Multivariable Control: A Geometric Approach
TL;DR: In this article, the authors present an approach to controlability, feedback assignment, and pole shifting in a single linear functional model, where the observer is assumed to be a dynamic observer.
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.
Journal ArticleDOI
Least squares stationary optimal control and the algebraic Riccati equation
TL;DR: In this paper, the optimal control of linear systems with respect to quadratic performance criteria over an infinite time interval is treated, and the integrand of the performance criterion is allowed to be fully quadratically in the control and the state without necessarily satisfying the definiteness conditions which are usually assumed in the standard regulator problem.
Proceedings ArticleDOI
Robustness with observers
John Doyle,Gunter Stein +1 more
TL;DR: This paper describes an adjustment procedure for observer-based linear control systems which asymptotically achieves the same loop transfer functions (and hence the same relative stability, robustness, and disturbance rejection properties) as full-state feedback control implementations.
Journal ArticleDOI
Structural Invariants of Linear Multivariable Systems
TL;DR: In this article, the structural properties of the matrix triple (C,A,B) which remain invariant under various transformation groups are identified, and a brief account of a recent result which states that the controllable space of a matrix triple can be decomposed into a direct sum of singly-generated controllability subspaces, the dimension of each subspace being determined by one of the controLLability indices of