The generalized H2 controller synthesis problem of sampled-data systems

JH Kim, T Hagiwara - Automatica, 2022 - Elsevier
This paper tackles the generalized H 2 controller synthesis problem of sampled-data
systems, which is associated with the controller minimizing the induced norm from L 2 to L∞ …

Finite-horizon multi-objective generalized H2 control with transients

DV Balandin, RS Biryukov, MM Kogan - Automatica, 2019 - Elsevier
This paper presents a variational approach to computing the finite-horizon gain of a linear
time-varying (LTV) system which characterizes the worst-case peak value of a multiple …

Induced convolution operator norms of linear dynamical systems

VS Chellaboina, WM Haddad, DS Bernstein… - Mathematics of Control …, 2000 - Springer
Mathematics of Control, Signals, and Systems Page 1 Induced Convolution Operator Norms of
Linear Dynamical Systems* VijaySekhar Chellaboina,y Wassim M. Haddad,z Dennis S …

A theoretical framework for stability regions for standing balance of humanoids based on their LIPM treatment

JH Kim, J Lee, Y Oh - IEEE Transactions on Systems, Man, and …, 2018 - ieeexplore.ieee.org
The aim of this paper is to construct a theoretical framework for stability analysis relevant to
standing balance of humanoids on top of the linear inverted pendulum model, in which their …

[HTML][HTML] Robust L2–L∞ control for uncertain singular systems with time-varying delay

L Li, Y Jia, J Du, S Yuan - Progress in Natural science, 2008 - Elsevier
We study the problem of L2–L∞ control for a class of uncertain singular systems with time-
delay and norm-bounded parameter uncertainties in this paper. A new delay-dependent …

Extensive theoretical/numerical comparative studies on H 2 and generalised H 2 norms in sampled-data systems

JH Kim, T Hagiwara - International Journal of Control, 2017 - Taylor & Francis
This paper is concerned with linear time-invariant (LTI) sampled-data systems (by which we
mean sampled-data systems with LTI generalised plants and LTI controllers) and studies …

Upper/lower bounds of generalized H2 norms in sampled-data systems with convergence rate analysis and discretization viewpoint

JH Kim, T Hagiwara - Systems & Control Letters, 2017 - Elsevier
This paper considers linear time-invariant (LTI) sampled-data systems and studies their
generalized H 2 norms. They are defined as the induced norms from L 2 to L∞, in which two …

Оптимальное управление максимальными уклонениями выходов линейной нестационарной системы на конечном интервале времени

ДВ Баландин, РС Бирюков, ММ Коган - Автоматика и телемеханика, 2019 - mathnet.ru
Вводится понятие максимального уклонения выхода линейной нестационарной
системы на конечном интервале времени как максимального значения максимальной …

Observer-based resilient L2–L∞ control for singular time-delay systems

L Li, Y Jia - IET control theory & applications, 2009 - IET
The problem of non-fragile (or resilient) L2–L∞ control for a class of singular systems with
time-varying delay is considered via observer-based state feedback control. The objective is …

Минимаксное управление уклонениями выходов линейной дискретной нестационарной системы

ДВ Баландин, РС Бирюков, ММ Коган - Автоматика и телемеханика, 2019 - mathnet.ru
Показано, как можно синтезировать оптимальные на конечном горизонте цифровые
регуляторы для линейных нестационарных объектов при неопределенных начальных …