Actuator and sensor placement in linear advection PDE with building system application

DOI10.1016/J.JMAA.2012.03.046zbMath1331.93024arXiv1409.2015OpenAlexW2963218230MaRDI QIDQ439253

J. Herrera, H. S. Yoon

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2015

zbMATH Keywords

advection equationcontrollability and observability Gramiansbuilding systems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) PDEs in connection with control and optimization (35Q93)

Related Items (6)

Operator theoretic framework for optimal placement of sensors and actuators for control of nonequilibrium dynamics ⋮ Modern Koopman Theory for Dynamical Systems ⋮ A greedy Galerkin method to efficiently select sensors for linear dynamical systems ⋮ The Role of Sensor and Actuator Models in Control of Distributed Parameter Systems ⋮ Implications of the degree of controllability of controlled plants in the sense of LQR optimal control ⋮ A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system

Cites Work

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• Optimal placement of sensors for contaminant detection based on detailed 3D CFD simulations
• Balanced actuator and sensor placement for flexible structures
• Lyapunov Measure for Almost Everywhere Stability
• A dual to Lyapunov's stability theorem

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