In the era of modern engineering, people depend on their daily devices which are controlled either mechanically or electrically, ranging from a simple switch to an electric vehicle. As a result, across the mechanical and electrical engineering field, engineers have been perfecting their ways to control those applications or, in general, dynamic systems. Among all the advances in control theory and controllers, there is an area not being confronted yet, which is the transient response of dynamic systems. The transient response of dynamic systems is the foundation that can greatly affect the performance of controlling dynamic systems later on, and we believe that we can achieve better result by assigning a specific output transient response of any system.
In this thesis, we conducted a study of applying the proposed output transient response pattern to a first-order dynamic electrical system, an RC circuit. The existing method, which involves applying a constant input voltage into any RC circuit to achieve the output transient response approaching the desired steady-state voltage, has the issues of unassignable finishing time and unreachable desired state, and those concerns motivated us to achieve a polynomial transient response to eliminate xithose issues. At the same time, we investigated the performance of energy and time efficiency of both existing and proposed transient response and proved that the proposed transient response not only has a more desirable performance, but also has better energy and time efficiency after a transient response period.
To find out the practicality and feasibility of the proposed transient response, an experiment was conducted on an actual RC circuit. The experiment result verifies the proposed transient response is achievable by inputting a polynomial voltage source and superior in response performance to the existing method. Besides the RC circuit application, the proposed transient response pattern can be extended to other areas, such as higher-order dynamic systems, analog system and mechanical system, to show its complexity and flexibility.