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This paper is concerned with symbolic computation in analysis and synthesis for multi-agent dynamical systems, where all the agents share a common linear time-invariant (LTI) system h(s). Such a system can be represented by the LTI system with generalized frequency variable φ(s) :=1/h(s). There are a very few results on the analysis and synthesis except stability test, since the system is large and...
This paper proposes a new plant/controller design integration framework that seeks the best pair of the plant and the controller for the best possible closed-loop performance in Hscr2 control. The framework is further equipped with a symbolic-numeric hybrid optimization approach to effectively achieve the optimum. In the suggested approach, a recent algebraic tool called the Sum of Roots is firstly...
This paper focuses on symbolic/numeric hybrid computations for feedback control system design. Three resent approaches along this research directions, namely robust controller design by a parameter space approach, sum of root (SoR) characterization of Hscr2 optimal control design, and symbolic-numeric hybrid integrated design, are reviewed.
It is well known that undershoot phenomena are inevitable for plants having real unstable zeros. In this paper, we first investigate the undershoot phenomena caused by real unstable zeros of the plant to be controlled theoretically. We then propose methods of reducing the undershoot amount for a plant with real unstable zeros by digital control. The ideas are an introduction of exponential decay factor...
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