Chandrasekhar equations for infinite dimensional systems
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics
SIAM Journal on Control and Optimization
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
The Trotter-Kato theorem and approximation of PDEs
Mathematics of Computation
A reduced-order method for simulation and control of fluid flows
Journal of Computational Physics
Distributed parameter control of thermal fluids
Distributed parameter control of thermal fluids
Methods for computing functional gains for lqr control of partial differential equations
Methods for computing functional gains for lqr control of partial differential equations
Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition
SIAM Journal on Scientific Computing
Numerical methods for approximating functional gains in LQR boundary control problems
Mathematical and Computer Modelling: An International Journal
High performance computing for energy efficient buildings
Proceedings of the 8th International Conference on Frontiers of Information Technology
ThinkHome energy efficiency in future smart homes
EURASIP Journal on Embedded Systems - Special issue on networked embedded systems for energy management and buildings
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Commercial buildings are responsible for a significant fraction of the energy consumption and greenhouse gas emissions in the U.S. and worldwide. Consequently, the design, optimization and control of energy efficient buildings can have a tremendous impact on energy cost and greenhouse gas emission. Buildings are complex, multi-scale in time and space, multi-physics and highly uncertain dynamic systems with wide varieties of disturbances. Recent results have shown that by considering the whole building as an integrated system and applying modern estimation and control techniques to this system, one can achieve greater efficiencies than obtained by optimizing individual building components such as lighting and HVAC. We consider estimation and control for a distributed parameter model of a multi-room building. In particular, we show that distributed parameter control theory, coupled with high performance computing, can provide insight and computational algorithms for the optimal placement of sensors and actuators to maximize observability and controllability. Numerical examples are provided to illustrate the approach. We also discuss the problems of design and optimization (for energy and CO2 reduction) and control (both local and supervisory) of whole buildings and demonstrate how sensitivities can be used to address these problems.