2020 (vol. 30) - Number 4

*A.B. Malinowska, R. Kamocki, R. Almeida, T. Odzijewicz:*

On the existence of optimal consensus control for the fractional Cucker--Smale model

*R. Grymin, W. Bożejko, J. Pempera, M. Wodecki, Z. Chaczko:*

Algorithm for solving the Discrete-Continuous Inspection Problem

*T. Kaczorek, A. Ruszewski:*

Global stability of discrete-time nonlinear systems with descriptor standard and fractional positive linear parts and scalar feedbacks

*R. Arora, K. Gupta:*

Fuzzy goal programming technique for multi-objective indefinite quadratic bilevel programming problem

*P. Nowak, J. Czeczot, P. Grelewicz:*

Tuning rules for industrial use of the second-order Reduced Active Disturbance Rejection Controller

*M.I. Gomoyunov:*

Optimal control problems with a fixed terminal time in linear fractional-order systems

*Muhafzan, A. Nazra, L. Yulianti, Zulakmal, R. Revina:*

On LQ optimization problem subject to fractional order irregular singular systems

*M. Blizorukova, V. Maksimov:*

On one algorithm for reconstruction of an disturbance in a linear system of ordinary differential equations

ACS Abstract:

**2006 (Volume 16)**

Number 3

**Output-reachability of positive linear discrete-time systems with delays**

Tadeusz Kaczorek(Białystok Technical University, Faculty of Electrical Engineering, Białystok, Poland) |

**keywords:** linear, discrete-time, system, delay, output-reachability, positive system

**Computing anisotropic norm of linear discrete-time-invariant system via LMI-based approach**

Michael M. Tchaikovsky, Alexander P. Kurdyukov(Institute of Control Sciences, RAS, Moscow, Russia) |

*H*

_{2}- and

*H*

_{∞}- norms as α → 0 and α → ∞ respectively. In literature a method for numerical computation of the anisotropic norm was proposed. This method involves linked Riccati and Lyapunov equations and associated special type equation. This paper develops a method for computing the anisotropic norm that reduces to finding a strongly rank-minimizing solution of linear matrix inequality and a solution of special type nonlinear algebraic equation.

**keywords:** differential entropy, anisotropy, induced norm, linear matrix inequality

**Independent component analysis in angiography images**

Ewa Snitkowska, Włodzimierz Kasprzak(Warsaw University of Technology, Institute of Control and Computation Engineering, Warsaw, Poland) |

**keywords:** langiography images, feature vectors, image analysis, independent component analysis, texture description

**Admissible disturbances for perturbed nonlinear discrete systems**

Mostafa Rachik, Abdessamad Tridane, Mustapha Lhous, Zakia Tridane(Département de Mathématiques et Informatique, Faculté des Sciences Ben M'Sik, Casablanca-Morocco) |

and the output function

*,*where is a disturbance which perturb the system. The disturbance

*e*is said to be -admissible if , where

*is the output signal corresponding to the uninfected system. The set of all - admissible disturbances is the admissible set . The characterization of is investigated and practical algorithms with numerical simulation are given. The admissible set for discrete delayed systems is also considered.*

**keywords:** discrete nonlinear systems, disturbances, asymptotic stability, admissibility, observability, discrete delayed systems

**Windup prevention in the presence of amplitude and rate saturation**

Peter Hippe(Lehrstuhl für Regelungstechnik, Universität Erlangen-Nürnberg, Erlangen, Germany) |

**keywords:** constrained systems, windup prevention, rate saturation

**One-DoF robust control of shaft supported magnetically**

Zdzisław Gosiewski, Arkadiusz Mystkowski(Technical University of Białystok, Mechanical Department, Białystok, Poland) |

*k*and displacement stiffness

_{i}*k*are assumed to be the uncertainty parameters. The performance of the closed-loop system, signals limits, and the disturbances influence are determined with the aid of the weighting functions. Three weighting functions are designed:

_{s}*W*(

_{e}*s*) – penalizing the error signal

*e*,

*W*(

_{u}*s*) – penalizing the input signal

*u*, and

*W*(

_{y}*s*) – penalizing the output signal

*x*. For these functions and the uncertainty model we assigned the augmented control model. For the augmented control system we assigned the robust controller. The robust controller assures high quality of control despite of the uncertainty model of the plant, disturbances in the systems, signals limits and high dynamics of the system. Next the H

_{∞}closed-loop system is compared with the standard PID closed-loop system. Finally simulation results show effectiveness of the control system as good initial responses/transient responses and robustness of the designed robust controller.

**keywords:** active magnetic bearings (AMB), robust controller, weighting functions, H∞ norm

**A new robust adaptive control of a class of MIMO nonlinear systems with fuzzy approximators**

Abdelhalim Tlemcani, Hachemi Chekireb, Mohamed Seghir Boucherit(Laboratoire de Commande des Processus, Ecole Nationale Polytechnique, Algers, Algeria) |

**keywords:** fuzzy systems, fuzzy adaptive law, sliding term, reconstruction errors, permanent magnet synchronous motors, current controlled inverter

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