Unified approach to linear quadratic regulator with time‐scale property

DOI10.1002/oca.679zbMath1069.93513OpenAlexW2051806610MaRDI QIDQ5317799

Ronald H. Brown, Hardev Singh, D. Subbaram Naidu

Publication date: 21 September 2005

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.679

zbMATH Keywords

optimal controlLyapunov equationalgebraic Riccati equationcomposite control\(\delta\)-operatortwo-time-scaleunified systemshift-operator

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear-quadratic optimal control problems (49N10)

Cites Work

• Unnamed Item
• Unnamed Item
• Singular perturbation analysis of discrete control systems
• Singular perturbations and order reduction in control theory - an overview
• Infinite-time regulators for singularly perturbed difference equations†
• Decentralized control for two time-scale discrete-time systems
• Sub-optimal control of discrete regulator problems via time-scale decomposition
• Time-scale synthesis of a closed-loop discrete optimal control system
• Reduced order modelling and control of two-time-scale discrete systems†
• A Riccati equation for block-diagonalization of ill-conditioned systems
• A decomposition of near-optimum regulators for systems with slow and fast modes
• A new design method for regulator problems for singularly perturbed systems with constrained control
• Discrete regulators with time-scale separation

This page was built for publication: Unified approach to linear quadratic regulator with time‐scale property