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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Topology optimization of compliant circular path mechanisms based on an aggregated linear system and singular value decomposition
TL;DR: In this paper, the authors proposed a topology optimization method for the design of compliant circular path mechanisms with a set of output displacement vectors with a constant norm, which is induced by a given set of input forces.
Proceedings ArticleDOI
Closed-loop model reduction method
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Separating trend and cyclical dynamics in state space models with exogenous inputs
TL;DR: Singular value decomposition seems to be a viable computational device not only in estimating the system matrices of the state space model, but also in state rotation, as compared to the more involved techniques based on eigenvalue analysis or Schur decomposition.
Proceedings ArticleDOI
Optimal order reduction using the induced operator norm
TL;DR: In this paper, new procedures for order reduction, based on interpreting the system impulse response (or transfer function) as an input-output map, are presented, and several computational examples are given.
Dissertation
Optimal control design of large scale system with parameter uncertainty
TL;DR: Thesis (M.S.) as mentioned in this paper, Wichita State University, College of Engineering, Dept. of Electrical Engineering and Computer Science, Wichita, Kan., United States of America, USA.
References
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