2022 (vol. 32) - Number 1

*J. Cvejn:*

The magnitude optimum design of the PI controller for plants with complex roots and dead time

*S.F. Al-Azzawi, M.A. Hayali:*

Coexisting of self-excited and hidden attractors in a new 4D hyperchaotic Sprott-S system with a single equilibrium point

*M.A. Hammami, N. El Houda Rettab, F. Delmotte:*

On the state estimation for nonlinear continuous-time fuzzy systems

*M. Ilyas, M.A. Khan, A. Khan, Wei Xie, Y. Khan:*

Observer design estimating the propofol concentration in PKPD model with feedback control of anesthesia administration

*L. Moysis, M. Tripathi, M. Marwan:*

Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization

*S. Vaidyanathan, K. Benkouider, A. Sambas:*

A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation

*T.T. Tuan, H. Zabiri, M.I.A. Mutalib, Dai-Viet N. Vo:*

Disturbance-Kalman state for linear offset free MPC

*Yuan Xu, Jun Wang:*

A novel multiple attribute decision-making method based on Schweizer-Sklar *t*-norm and *t*-conorm with *q*-rung dual hesitant fuzzy information

*T. Kaczorek:*

Observers of fractional linear continuous-time systems

ACS Abstract:

**1997 (Volume 6)**

Number 3/4

A numerically simplified fuzzy logic controller

Bogdan Kasztenny, Andrzej Wiszniewski(Wrocław University of Technology, Poland ) | Constantine Hatziadoniu(Constantine Hatziadoniu) |

This paper is concerned with the numerical optimization of a Fuzzy Logic Controller (FLC) for both its efficient simulation and easy real-time implementation. The basic concept of the FLC based on generalized T-operators approach has been presented. Several assumptions regarding the mathematical formalization of the FLC have been made leading to its numerical simplification. They include: Goguen formulas for T-operators, "Center of Gravity" method for defuzzification, and the overlapping between not more than two membership functions for fuzzy output from the controller. Under these assumptions, the paper presents the non-fuzzy output from the FLC as the ratio of two weighted sums of certain functions of the inputs, reducing significantly the computational burden of the FLC algorithm comparing with the definition-based implementation. The analysis has been performed for a two-input FLC, but extended to a multi-input FLC. The Fuzzy Logic Power System Stabilizer (PSS) has been chosen as an application example. Results of simulation studies demonstrate the efficiency of both the presented optimization method in terms of numerical simplicity and the designed PSS in terms of improving the power system stability.

**keywords:** Fuzzy Logic Control, T-operators, Numerical Optimization, Power System Stabilizer.

**Adaptive stabilization of a class of semilinear parabolic distributed parameter systems in the case of collocated actuators and sensors**

Toshihiro Kobayashi, Jiachun Fan(Kyushu Institute of Technology, Japan ) |

**keywords:** adaptive stabilization, semilinear distributed parameter systems, collocated input and output, boundary input and output.

**Optimal control of distributed stochastic systems with delays in the control**

M. Rachik(Faculté des Sciences Ben M'sik, Morocco ) | J. Karrakchou(Ecole Mohammadia d'Ingénieurs, Morocco ) |

**keywords:** Delayed control, Distributed stochastic systems, Hilbert uniqueness method, Optimal control, Separation principle theorem.

**On the dynamics of a closed-loop system with hysteresis**

Andrzej Ossowski(Institute of Fundamental Technological Research PAN, Poland ) |

**keywords:** Lyapunov function, feedback stabilization, bang-bang control, hysteresis.

**Overshoots in 2-nd class of linear control systems**

Mieczysław Zaczyk(University of Mining and Metallurgy, Poland ) |

**keywords:** control system analysis, 2-nd class of linear control systems, overshoots in linear systems.

**Floating-point roundoff errors in first-order filters of digital controllers**

Zbigniew Świder(Technical University of Rzeszów, Poland ) |

**The quest for small benchmarks for the chromatic sum problem**

W. Głazek, M. Kubale, K. Manuszewski(Technical University of Gdańsk, Poland ) |

*HCT*(resp.

*HCT*) if some (resp. every) implementation of the algorithm gives a bigger total than the chromatic sum. In this paper we give the smallest

*HCT*and slightly

*HCT*graphs for the most popular vertex coloring algorithms when adapted to the chromatic sum problem. Some of them have been obtained by exhaustive computational search. Our results confirm that algorithms based on the independent sets principle are much better than those realizing a sequential coloring approach.

**Circular built-in self-test for controllers with many internal clocks**

Michał Kope(University of Silesia in Cieszyn, Poland ) |

**keywords:** Built-In Self-Test, Pseudorandom Test, Sequential Circuit Testing

**Robustness of fuzzy control with respect to plant parameters modifications - simulation results**

Jacek Kluska(Rzeszow University of Technology, Poland) |

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