Towards intelligent PID control
Automatica (Journal of IFAC)
Diophantine equations in control—a survey
Automatica (Journal of IFAC)
Polynomial Methods for Control Systems Design
Polynomial Methods for Control Systems Design
Feedback Control Theory
Non-delay parameter depending stability of a time-delay system
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
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The paper is aimed to the design of linear continuous controllers for unstable single input -- output systems. The controller design is studied in the ring of (Hurwitz) stable and proper rational functions RPS. All stabilizing feedback controllers are given by a general solution of a Diophantine equation in RPS. Then asymptotic tracking and disturbance attenuation is obtained through the divisibility conditions in this ring. The attention of the paper is focused on a class of unstable systems. Both, one and two degree of freedom (1DOF, 2DOF) control structure. The methodology brings a scalar parameter for tuning and influencing of controller parameters. As a result, a class of PI, PID controllers are developed but the approach generates also complex controllers. Simulations and verification are performed in the Matlab+Simulink environment.