Control of Discrete-Time State-Multiplicative Systems with Polytopic Region of Uncertainty

Krokavec, Dušan; Filasová, Anna

doi:10.1109/pc52310.2021.9447505

Cited by 1 publication

(1 citation statement)

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“…Using the concept related to an interval system of equations or inequalities (Moore et al, 2009), then interval observers can be designed for uncertain linear systems, providing intervals to which estimated states are belonging at the evolution time (Gouzé et al, 2000), and specifically in the presence of nonstationary disturbances and uncertainties (Bolajraf et al (2011); Mazenc and Bernard (2011); Raissi and Efimov (2018)). Unfortunately, the interval representation of the single actuator fault as a loss of gain must be interpreted as a system with polytopic region of uncertainty and the related methods (Prempain and Postlethwaite (2007); Krokavec and Filasová (2021b)) have to be applied with explicit constraint representation in the form of LMIs for this problem.…”

Section: Introductionmentioning

confidence: 99%

Virtual Actuator Design for Uncertain Metzler Systems

Krokavec

Filasová

2021

Front. Control Eng.

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The paper presents the design conditions adequate in design of virtual actuators and utilizable by nominal static output control structures in fault-tolerant control for strictly Metzler systems. The positive stabilization with H∞ norm performance is also addressed for virtual actuator design for strictly Metzler systems with interval uncertainty matrix representations of single actuator faults. Taking into account disturbance conditions and changes of values of variables after the virtual actuator activation, the design conditions are outlined in the terms of linear matrix inequalities. The approach provides a way to obtain acceptable dynamics of the closed loop system after virtual actuator activation.

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