Journal ArticleDOI
Factorisation result for optimal discrete-time systems
TLDR
In this article, a z transform factorisation result from the discrete-time matrix Riccati equation is developed from the matrix Ricciati equation, in a similar way to the well known spectral factorization result of continuous time systems.Abstract:
A z transform factorisation result is developed from the discrete-time matrix Riccati equation, in a similar way to the well known spectral-factorisation result of continuous time systems.read more
Citations
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Journal ArticleDOI
On the Discrete-time Bounded Real Lemma with application in the characterization of static state feedback H ∞ controllers
Carlos E. de Souza,Lihua Xie +1 more
TL;DR: In this paper, the Discrete-time Bounded Real Lemma (DRL) is used to characterize all static state feedback H ∞ controllers for non-minimal stable state-space realizations.
Journal ArticleDOI
The stabilizing solution of the discrete algebraic riccati equation
TL;DR: In this paper, the authors extended the existence theory of the stabilizing solution of the discrete algebraic Riccati equation and provided necessary and sufficient conditions for the existence of such a solution, free of any a priori conditions on the problem data.
Proceedings ArticleDOI
An explicit state-space solution for a decentralized two-player optimal linear-quadratic regulator
John Swigart,Sanjay Lall +1 more
TL;DR: This work focuses on the simplest information structure, consisting of two interconnected linear systems, and provides explicit state-space formulae for the optimal controller, characterize its order, and show that its states are those of a particular optimal estimator.
Proceedings ArticleDOI
Optimal synthesis and explicit state-space solution for a decentralized two-player linear-quadratic regulator
John Swigart,Sanjay Lall +1 more
TL;DR: This paper develops controller synthesis algorithms for decentralized control problems by constructing the optimal controllers via a spectral factorization approach, and explicit state-space formulae are provided.
Journal ArticleDOI
Optimal Controller Synthesis for Decentralized Systems Over Graphs via Spectral Factorization
John Swigart,Sanjay Lall +1 more
TL;DR: This work provides an intuitive understanding of the optimal solution for decentralized control problems, where the standard separation principle does not hold for these decentralized problems, and the controllers must do more than simply estimate their states.
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