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A. Fursov, S. Minyaev, V. Guseva (2018)
Digital Stabilizer Design for a Switched Linear Control Delay SystemDifferential Equations, 54
BT Polyak, MV Khlebnikov, PS Shcherbakov (2014)
Upravlenie sistemami pri vneshnikh voz-mushcheniyakh: tekhnika lineinykh matrichnykh neravenstv
LT Ashchepkov, DV Davydov (2006)
Universal’nye resheniya interval’nykh zadach optimizatsii i upravleniya
BT Polyak, PS Shcherbakov (2002)
Robastnaya ustoichivost’ i upravlenie
A. Fursov, S. Emel'yanov, I. Kapalin, E. Sagadinova (2018)
Stabilization of Multiple-Input Switched Linear Systems with Operation Modes of Different Dynamical OrdersDifferential Equations, 54
AS Fursov (2016)
Odnovremennaya stabilizatsiya: teoriya postroeniya universal’nogo regulyatora dlya semeistva dinamicheskikh ob”ektov
M. Johansson, M. Johanssn (2003)
Piecewise Linear Control Systems, 284
(2002)
Osnovy teorii tsifrovykh sistem upravleniya (Fundamentals of Theory of Digital Control Systems)
A. Fursov, S. Minyaev, E. Iskhakov (2017)
Digital stabilizer design for a switched linear systemDifferential Equations, 53
A. Fursov, E. Khusainov (2015)
On the stabilization of switchable linear systemsDifferential Equations, 51
M. Mahmoud (2010)
Switched Time-Delay Systems: Stability and Control
(2002)
Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control)
Karolin Papst (2016)
Stability Theory Of Switched Dynamical Systems
(2006)
Universal’nye resheniya interval’nykh zadach optimizatsii i upravleniya (Universal Solutions to Interval Optimization and Control Problems)
A. Fursov, I. Kapalin (2016)
Stabilization of switched linear systems by a controller of variable structureDifferential Equations, 52
(2014)
Upravlenie sistemami pri vneshnikh vozmushcheniyakh: tekhnika lineinykh matrichnykh neravenstv (Control of Systems under External Perturbations: Technique of Linear Matrix Inequalities)
KYu Polyakov (2002)
Osnovy teorii tsifrovykh sistem upravleniya
A. Fursov, I. Kapalin, H. Hongxiang (2017)
Stabilization of multiple-input switched linear systems by a variable-structure controllerDifferential Equations, 53
We solve the problem of constructing a digital controller that stabilizes a continuous-time switched system whose operating modes are interval linear systems. The proposed stabilization approach includes constructing a continuous-time/discrete-time closed-loop system with a digital controller, passing to its discrete-time model, constructing, for a finite family of interval discrete-time systems (discrete-time model modes), a controller that stabilizes each of the systems, and subsequent estimation of the delay time that ensures stabilization of the original switched interval system by this controller.
Differential Equations – Springer Journals
Published: Dec 17, 2019
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