## 5 Conclusions  
This study presents a high gain step-up converter with a simple and cheap controller based on small signal analysis and steady space matrixes. In comparison with the conventional boost converter, the proposed converter uses two additional power diodes, a capacitor, and an inductor. However, the voltage gain of the projected converter is considerable and acts as a cascaded step-up converter. Furthermore, by considering that the topology has only one power switch and in any time interval only two diodes will be in the structure, it presents the same values of the losses in comparison with the cascaded converter by considering the switching, dynamic, and frequency losses. For the controller design, the topology was examined in two ON and OFF states of the switch. So, among all of the equations, the optimal equation that can present a relation between the output voltage and current derivation of the second inductor was selected. The controller was investigated through this equation and the simulation and experimental results showed the robust and stable working conditions for the proposed controller.  
A group of simulations was undertaken in MATLAB/SIMULINK 2017a and the results confirmed the theoretical and mathematical analysis. Simulations were done for different values of the input voltages and output loads to generate the different voltages by the PV panels based on the irradiance and temperature. Therefore, a good controller should present stable and fixed DC voltages for the different values of this input source. Additionally, the stability of the structure and controller is important when different values of loads are entered at the output side of the structure. The results showed that for 24 V and 50 \(\Omega\) as the output load, the controller can reach the fixed desired 120 V with around 0.12 S, which is acceptable for a topology that will work for a long time. A laboratory scaled prototype was implemented. For a 24 V input source, since the simulation results give 93 V as the output voltage in 50% of duty cycles, the prototype can present around 92.5 V, which is acceptable and confirms the theoretical analysis and simulation results. Working in lower switching frequencies will help to decrease the voltage and current stresses on power switches where a high gain application is necessary. As a suggestion, soft switching and snubber sub-structures can be utilized to decrease these stresses.  
[PERSON], [PERSON], [PERSON], involved for the development of the concept, software analysis and hardware implementation, [PERSON]-[PERSON] supervise the project and validated the outcomes and numerical scale of proof, editing and final formulation of the work for ensuring quality of the presentation. [PERSON]-[PERSON], [PERSON], [PERSON], [PERSON] involved to make the article for its final presentation and error free technical aspects. [PERSON] involved to provide the graphical solution for the better presentation of the obtained results. All authors were involved equally in the contribution to present this research activity in its current full article for the readers with correction, edition, and proof version for its quality presentation. All authors have read and agreed to the published version of the manuscript.  
There were no sources of funding for this research activities.  
Authors acknowledge the Center for Bioenergy and Green Engineering, Aalborg University, Esbjerg, Denmark for providing technical support and expertise to make the article for its quality in presentation and execution.  
The authors declare no conflict of interest.