Reachability and controllability of time-variant discrete-time positive linear systems
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Reachability indices of positive linear systems.
Bru, Rafael, Coll, Carmen, Romero, Sergio, Sánchez, Elena (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Reachability of cone fractional continuous-time linear systems
Tadeusz Kaczorek (2009)
International Journal of Applied Mathematics and Computer Science
A new class of cone fractional continuous-time linear systems is introduced. Necessary and sufficient conditions for a fractional linear system to be a cone fractional one are established. Sufficient conditions for the reachability of cone fractional systems are given. The discussion is illustrated with an example of linear cone fractional systems.
Realizability of precompensators in linear multivariable systems: A structural approach
Javier Ruiz, Eduardo Castañeda (2014)
Kybernetika
In this work, given a linear multivariable system, the problem of static state feedback realization of dynamic compensators is considered. Necessary and sufficient conditions for the existence of a static state feedback that realizes the dynamic compensator (square or full column rank compensator) are stated in structural terms, i. e., in terms of the zero-pole structure of the compensator, and the eigenvalues and the row image of the controllability matrix of the compensated system. Based on these...
Realization problem for positive linear systems with time delay.
Kaczorek, Tadeusz (2005)
Mathematical Problems in Engineering
Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs
Tadeusz Kaczorek (2006)
International Journal of Applied Mathematics and Computer Science
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
Realization problem for singular positive continuous-time systems with delays
Tadeusz Kaczorek (2007)
Control and Cybernetics
Realizations of linear control systems on time scales
Zbigniew Bartosiewicz, Ewa Pawłuszewicz (2006)
Control and Cybernetics
Receding-horizon control of constrained uncertain linear systems with disturbances
Luigi Chisci, Paola Falugi, Giovanni Zappa (2002)
Kybernetika
The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs between maximizing the initial feasibility region and guaranteeing ultimate boundedness in the smallest...
Reconfigurability analysis for reliable fault-tolerant control design
Ahmed Khelassi, Didier Theilliol, Philippe Weber (2011)
International Journal of Applied Mathematics and Computer Science
In this paper the integration of reliability evaluation in reconfigurability analysis of a fault-tolerant control system is considered. The aim of this work is to contribute to reliable fault-tolerant control design. The admissibility of control reconfigurability is analyzed with respect to reliability requirements. This analysis shows the relationship between reliability and control reconfigurability defined generally through Gramian controllability. An admissible solution for reconfigurability...
Recursive estimation as an optimally controlled process
Jaroslav Markl (1985)
Kybernetika
Regular synthesis for the linear-convex optimal control problem with convex control constraints
Margaréta Halická (1987)
Mathematica Slovaca
Remarks on the theory of implicit linear continuous-time systems
K. Maciej Przyłuski, Andrzej M. Sosnowski (1994)
Kybernetika
Rings of skew polynomials in algebraical approach to control theory
Jan Ježek (1996)
Kybernetika
Robust adaptive stabilization of linear time-invariant dynamic systems by using fractional-order holds and multirate sampling controls.
Alonso-Quesada, S., De La Sen, M. (2010)
Discrete Dynamics in Nature and Society
Robust admissibilization of descriptor systems by static output-feedback: an LMI approach.
Chaabane, M., Tadeo, F., Mehdi, D., Souissi, M. (2011)
Mathematical Problems in Engineering
Robust and nonrobust tracking
Jan Štecha (1998)
Kybernetika
For zero steady state tracking error it is necessary to include integrators in the control loop in the case of reference signal generated by integrators. This result can be generalized to arbitrary unstable modes of the reference generator according to the “internal model principle”. This paper shows an alternative solution of the asymptotic reference signal tracking problem using feedforward. The solution is not robust but gives a feedback controller with reduced complexity. Robust tracking...
Robust and reliable output feedback control for linear systems with parameter uncertainty and actuator failure
Chang-Jun Seo, Byung Kook Kim (1999)
Kybernetika
The robust and reliable output feedback controller design problem is investigated for uncertain linear systems with actuator failures within a prespecified subset of actuators. The uncertainty considered here is time- varying norm-bounded parameter uncertainty in the state matrix. The output of a faulty actuator is assumed to be any arbitrary energy-bounded signal. An observer-based output feedback controller design is presented which stabilizes the plant and guarantees an -norm bound on attenuation...
Robust control of discrete-time hybrid systems with uncertain modal dynamics.
Runolfsson, Thordur (2004)
Mathematical Problems in Engineering
Robust Control of Linear Stochastic Systems with Fully Observable State
Alexander Poznyak, M. Taksar (1996)
Applicationes Mathematicae
We consider a multidimensional linear system with additive inputs (control) and Brownian noise. There is a cost associated with each control. The aim is to minimize the cost. However, we work with the model in which the parameters of the system may change in time and in addition the exact form of these parameters is not known, only intervals within which they vary are given. In the situation where minimization of a functional over the class of admissible controls makes no sense since the value of...
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