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EN
In this paper the energy of different inputs of perfect control will be comprised. The right-invertible matrices, which is a part of said control strategy, with the non-unique σ-inverse raise a question about the set of minimum-energy degrees of freedom.
EN
This paper presents the modeling and control design of an isolated full-bridge boost converter fed by a photovoltaic (PV) device. The converter and PV device are modeled using the method of average state variables and the controller is designed with the state-space feedback control technique, using concepts of characteristic polynomial, controllability and Ackerman’s matrix. The dynamic model of the converter is obtained and the voltage controller is designed in order to achieve the regulation of the input voltage of the boost converter, thus allowing the direct control of the PV voltage, which brings advantages when this system is compared to traditional control strategies for grid-tie PV converters.
PL
W artykule zaprezentowano modelowanie i projekt sterowania izolowanym pełnomostkowym, przekształtnikiem typu boost zasilanym przez ogniwo fotowoltaiczne. Zbadano właściwości dynamiczne. Układ sterowania jest tak zaprojektowany żeby osiągać prawidłowy poziom napięcia.
EN
A control system, which achieves prescribed speed and position responses, for electric drives with a significant torsion vibration mode is presented. Control system design exploits state-space control and forced dynamics control principles. Derived control algorithm respects the vector control condition by keeping the direct axis current component approximately zero as well as controlling the load position with prescribed closed loop dynamics. Set of two observers, one on load side and the second one on motor side, generate all state variables necessary for control algorithm design including torques acting on the motor and load side to satisfy all conditions for achieving prescribed dynamics. This approach eliminates the position sensor on motor side. The simulations confirm that proposed model based position control system can operate with moderate accuracy.
PL
W artykule zaprezentowano układ sterowania napędami elektrycznymi ze znacznymi drganiami skrętnymi, który umożliwia jako odpowiedzi - określone obroty i położenie. Układ sterowania wykorzystuje opis przestrzeni stanu i zasady wymuszonego sterowania dynamicznego. Zestaw dwóch obserwatorów, jeden po stronie obciążenia, a drugi od strony silnika, wygenerować może wszystkie zmienne stanu niezbędne do projektowania algorytmu sterowania, w tym momenty działające po stronie silnika i obciążenia, spełniające wszystkie warunki niezbędne do osiągnięcia określonej dynamiki. Takie podejście eliminuje stosowanie czujnika położenia od strony silnika. Wyniki symulacji potwierdzają, że proponowany model układu sterowania położenia może pracować z wystarczającą dokładnością.
EN
A control system, which achieves prescribed speed and position responses, for electric drives with a significant torsion vibration mode is presented. Control system design exploits state-space control and forced dynamics control principles. Derived control algorithm respects the vector control condition by keeping the direct axis current component approximately zero as well as controlling the load position with prescribed closed loop dynamics. Set of two observers, one on load side and the second one on motor side, generate all state variables necessary for control algorithm design including torques acting on the motor and load side to satisfy all conditions for achieving prescribed dynamics. This approach allowed to eliminate position sensor on motor side. The simulations confirm that proposed model based position control system can operate with moderate accuracy.
EN
A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence the design of optimal (in a specified sense) digital controller parameters can be separated from actuator constraints. The adaptation of the control algorithm (to actuator constraints) is performed by the transformation of the control error and is equivalent to the introduction of a new, virtual reference value for the control system. An application of this approach is presented through examples of three digital control algorithms: the PID algorithm, the dead-beat controller and the state space controller. In all cases, clear advantages of transients are observed, which yields some general conclusions to the problem of processing actuator constraints in control.
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