Hi I am currently working my way through a control systems textbook and I am bringing my understanding of the relevant mathematics up to speed. I have happened across the Laplace Transform which I am happy enough with. I am concerned however that given the fact that this is a real project I may find that the present calculations in the machine's software I am working on may not fit into something that can be easily inverse transformed using the standard models in the tables. Maybe I am worrying unnecessarily but I would like to be able to perform a complete Inverse Laplace Transform without the use of the tables. I am a competent mathematician, but using conventional methods I have not been able to perform this transform. Is it possible to do this, or this beyond the scope of anyone without a degree solely in mathematics? I have tried all sorts of substitutions and integration methods and so on, but I keep ending up with equations which cannot be manipulated any further, or just keep growing into even nastier equations. Can anyone give me a clue as to how this is actually done without the aid of tables or a computer? I hope this has made some sense!!!