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1
Content available Stabilization of discrete-time LTI positive systems
Krokavec D., Filasová A.
Archives of Control Sciences
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2017
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Vol. 27, no. 4
575--594
EN
The paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.
2
Content available Relaxed formulation of the design conditions for Takagi-Sugeno fuzzy virtual actuators
Filasova A., Krokavec D., Liscinsky P.
Archives of Control Sciences
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2016
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Vol. 26, no. 2
199--221
EN
The H∞ norm approach to virtual actuators design, intended to Takagi-Sugeno fuzzy continuous-time systems, is presented in the paper. Using the second Ljapunov method, the design conditions are formulated in terms of linear matrix inequalities in adapted bounded real lemma structures. Related to the static output controller, and for systems under influence of single actuator faults, the design steps are revealed for a three-tank system plant.
3
Content available On fault tolerant control structures incorporating fault estimation
Krokavec D., Filasová A., Liščinský P.
Archives of Control Sciences
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2016
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Vol. 26, no. 4
453--469
EN
The paper provides the minimal necessary modifications of linear matrix inequality conditions for the mixed H2/H∞ control design as well as for the augmented observer-based fault estimation to be mutually compatible in joint design of integrated fault estimation and fault tolerant control. To be possible, within this integration, to design the controller which guarantees a pre-specified H∞ norm disturbance attenuation level, the design conditions has to be regularized using the H2 performance index and, moreover, augmented fault observer must be of enforced dynamics. Analyzing the ambit of performances given on the mixed H2/H∞ design, the joint design conditions are formulated as a minimization problem subject to convex constraints expressed by a system of LMIs. The feasibility of the conditions is demonstrated by a numerical example.
4
Content available Application of descriptor approaches in design of PD observer-based actuator fault estimation
Filasova A., Krokavec D., Serbak V.
Archives of Control Sciences
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2015
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Vol. 25, no. 1
51--64
EN
Stability analysis and design for continuous-time proportional plus derivative state observers is presented in the paper with the goal to establish the system state and actuator fault estimation. Design problem accounts a descriptor principle formulation for non-descriptor systems, guaranteing asymptotic convergence both the state observer error as fault estimate error. Presented in the sense of the second Lyapunov method, an associated structure of linear matrix inequalities is outlined to possess parameter existence of the proposed estimator structure. The obtained design conditions are verified by simulation using a numerical illustrative example.
5
Content available LMI based fuzzy observer design for Takagi-Sugeno models containing vestigial nonlinear terms
Krokavec D., Filasová A.
Archives of Control Sciences
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2014
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Vol. 24, no. 1
39--52
EN
The paper deals with the problem of full order fuzzy observer design for the class of continuous-time nonlinear systems, represented by Takagi-Sugeno models containing vestigial nonlinear terms. On the basis of the Lyapunov stability criterion and the incremental quadratic inequalities, two design conditions for this kind of system model are outlined in the terms of linear matrix inequalities. A numerical example is given to illustrate the procedure and to validate the performances of the proposed approach.
6
Content available Observer-based fault estimation for linear systems with distributed time delay
Filasova A., Gontkovič D., Krokavec D.
Archives of Control Sciences
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2013
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Vol. 23, no. 2
169--186
EN
The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.
7
Content available Novel fault detection criteria based on linear quadratic control performances
Krokavec D., Filasová A.
International Journal of Applied Mathematics and Computer Science
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2012
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Vol. 22, no. 4
929-938
EN
This paper proposes a new approach to designing a relatively simple algorithmic fault detection system that is potentially applicable in embedded diagnostic structures. The method blends the LQ control principle with checking and evaluating unavoidable degradation in the sequence of discrete-time LQ control performance index values due to faults in actuators, sensors or system dynamics. Design conditions are derived, and direct computational forms of the algorithms are given. A simulation example subject to different types of failures is used to illustrate the design process and to demonstrate the effectiveness of the method.
8
Content available H-infinity control of discrete-time linear systems constrained in state by equality constraints
Filasová A., Krokavec D.
International Journal of Applied Mathematics and Computer Science
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2012
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Vol. 22, no. 3
551-560
EN
In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
9
Content available LMI based control design for linear systems with distributed time delays
Filasova A., Gontkovič D., Krokavec D.
Archives of Control Sciences
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2012
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Vol. 22, no. 2
217-231
EN
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
10
Content available Pairwise control principle in large-scale systems
Filasova A., Krokavec D.
Archives of Control Sciences
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2011
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Vol. 21, no. 3
227-242
EN
The purpose of the paper is present an algorithm of partially decentralized control design for one type of large-scale linear dynamical system. The pairwise autonomous principle is preferred where design conditions are derived in the bounded real lemma form, and global system stability is reproven to formulate potential application principle in fault tolerant control. The validity of the proposed method is demonstrated by the numerical example.
11
Content available State estimate based control design using the unified algebraic approach
Filasova A., Krokavec D.
Archives of Control Sciences
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2010
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Vol. 20, no. 1
5-18
EN
The LMI based method for the control with the state estimate, subject to the input variable constraints in the state feedback control of the linear MIMO systems, is presented in the paper. For this problem are obtained the state feedback as well as the estimator gain matrices that capture the required stability by solving the linear matrix inequalities formulated in the sense of the unified algebraic approach. The method is particularly effective when the input variable constraints and the system output are of interest.
12
Content available Observer state feedback control of discrete-time systems with state equality constraints
Filasova A., Krokavec D.
Archives of Control Sciences
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2010
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Vol. 20, no. 3
253-266
EN
Design conditions for existence of observer-based memory-less feedback control for stabilization of discrete-time systems with equality constraints given on the state variables are presented in the paper. These conditions are associated with eigenstructure assignment based on the singular value decomposition principle. The validity of the proposed method is demonstrated by a numerical example with the equality constraint tying together all state variables.
13
Content available Exponential stability of networked control systems with network-induced random delays
Krokavec D., Filasova A.
Archives of Control Sciences
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2010
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Vol. 20, no. 2
165-186
EN
In this paper, the problem of exponential stability for the standard form of the state control, realized in a networked control system structure, is studied. To deal with the problem of stability analysis of the event-time-driven modes in the networked control systems the delayed-dependent exponential stability conditions are reformulated and proven. Based on the delay-time dependent Lyapunov-Krasovskii functional, exponential stability criteria are derived. These criteria are expressed as a set of linear matrix inequalities and their structure can be modified to use the bilinear inequality techniques.
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