Journal ArticleDOI
Control of large-scale dynamic systems by aggregation
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TLDR
Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived and questions of performance degradation and of stability of such suboptimally controlled systems are answered.Abstract:
A method is proposed to obtain a model of a dynamic system with a state vector of high dimension. The model is derived by "aggregating" the original system state vector into a lower-dimensional vector. Some properties of the aggregation method are investigated in the paper. The concept of aggregation, a generalization of that of projection, is related to that of state vector partition and is useful not only in building a model of reduced dimension, but also in unifying several topics in the control theory such as regulators with incomplete state feedback, characteristic value computations, model controls, and bounds on the solution of the matrix Riccati equations, etc. Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived. Questions of performance degradation and of stability of such suboptimally controlled systems are also answered in the paper.read more
Citations
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Robust topology optimization based on an aggregated linear system and eigenvalue analysis
TL;DR: The proposed robust structural optimization method is implemented using the topology optimization method, sensitivity analysis and the method of moving asymptotes (MMA) to establish the worst load cases corresponding to these optimal structures.
Proceedings ArticleDOI
Aggregation-based model reduction for tokamak control
Alessandro Beghi,D. Ciscato +1 more
TL;DR: In this article, the use of model reduction schemes based on eigenstructure analysis is shown to be useful in the study of control problems in tokamak experiments, and state aggregation techniques allow to produce reduced-order models where the physical meaning of the state variables is preserved.
Suboptimal Decentralized Control of Multivariable Systems
TL;DR: In this paper, a state-space design for multivariable, sub-optimal decentralized control is presented, which is based upon the scalar multiplier with a cost function βJ *.
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Reduced order modeling of electrical circuits: Simulation and hardware validation
TL;DR: A well-known truncation method is adopted to reduce the order of original system and the scheme is implemented for electrical circuits, showing response of original model and reduced order model matches.
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