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Output feedback stabilization of linear time-varying uncertain delay systems
Tomoaki Hashimoto,Takashi Amemiya 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper investigates the output feedback stabilization problem of linear time-varying uncertain delay systems with limited measurable state variables. Each uncertain parameter and each delay under consideration may take arbitrarily large values. In such a situation, the locations of uncertain entries in the system matrices play an important role. It has been shown that if a system has a particular configuration called a triangular configuration, then the system is stabilizable irrespectively of the given bounds of uncertain variations. In the results so far obtained, the stabilization problem has been reduced to finding the proper variable transformation such that an M-matrix stability criterion is satisfied. However, it still has not been shown whether the constructed variable transformation enables the system to satisfy the M-matrix stability condition. The objective of this paper is to show a method that enables verification of whether the transformed system satisfies the M-matrix stability condition.
Implicit Model Predictive Control for Discretized Brayton-Moser Equations
Tomoaki Hashimoto 제어로봇시스템학회 2022 제어로봇시스템학회 국제학술대회 논문집 Vol.2022 No.11
The dynamics of nonlinear RLC circuits including independent and controlled voltage or current sources can be described by the Brayton–Moser equations. The underlying geometric structure of Brayton-Moser equations can be written as an implicit dynamical system with respect to a noncanonical Dirac structure. In this study, the continuous-time Brayton-Moser equation is discretized as a discrete-time nonlinear implicit system. Model predictive control is a kind of optimal feedback control in which the control performance over a finite future is optimized and its performance index has a moving initial time and a moving terminal time. This study focuses on the model predictive control problem of discretized Brayton–Moser equations. The objective of this study is to propose a model predictive control method for a class of discrete-time nonlinear implicit systems. This paper provides a numerical solution method based on the so-called C/GMRES algorithm to solve the model predictive control problem.