Analysing and comprehending complicated systems are usually a challenging task. The two-port matrix framework is used in this study to represent and model system components and their connections. The systematic modelling of some common engineering components, their interactions, and the input-output relationships are made simpler and comprehensive using the proposed approach. Beginning with the block diagram of any given system component, the systematic modelling process is initiated by applying the Linear Fractional transformation (LFT), this entails the breaking-up of the feedback loop/closed loop into open loops, such that the subcomponents or the system component states can be identified and separated. The point of breaking up the system components provides the input/output connection ports for the subcomponents, or the system component states. Subsequently, the Chain Scattering Description (CSD) which is characterized by the product of its input/output ports being power, while the input/output ratio being admittance/impedance is used to provide the subcomponents two-port representation such that a good understanding of the system components internal connections and power flow is achieved. The main contribution of this study is to provide a method to connect these system components in a two-port framework using an open-source software. This thesis adopted Python Programming Language for the implementation of the proposed method. To validate and show the feasibility of the proposed method and framework, this thesis implemented the proposed method on a simple mechatronic system consisting of a power stage, DC motor, gear reducers, and controllers. This thesis also provided the future expectation of this research, which includes providing a simulation toolbox enabling easy access to any engineering components (primitives) represented in a two-port frame. The idea is that users can easily use these primitives in designing or analysing systems without much hassle. Also, the animation part of this toolbox can be provided, of which this thesis demonstrated using a pilot example that is implemented in VPython. The idea of using open-source software is to remove the limitation due to proprietorship thus providing research tool for financially underprivileged students, researchers, businesses, and academics.

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