Transfer Function from State space model|| Part 2#cs

#statespace analysis basics #statespace #control systems #State Space analysis (also known as state variable analysis) is a commonly used method nowadays for analyzing the control system. The analysis that involves providing a complete idea about the behavior of the system at any given time utilizing the history of the system is known as state-space analysis. #The analysis of the control system in this approach is based on the state of the system. #What is meant by 'State Space'? The analysis of the system using conventional methods like root locus or bode plot etc. utilizes the transfer function approach where the system is analyzed on the basis of output and input. #In this approach, the interior conditions of the system are not taken into consideration and are restricted to only a single input single output. #But in the case of a modern approach, brief information on the internal conditions of the system is considered. These internal conditions specify the state of the system. Thus called state space. #What is State? It represents every smallest past information of the system in order to predict response. Basically a state separates the future i.e., the response of the system from the past. #The drawbacks associated with the conventional method are as follows: #1.In the transfer function approach during analysis, the initial conditions are considered to be 0. However, this is not the case with state variable analysis because it considers all the initial conditions associated with the elements of the control system. #2.And the consideration of initial conditions provides a more precise response. Hence the consideration of all the initial conditions associated with the system in the state model serves as a major advantageous factor. @3.The transfer function approach shows inconvenience towards the analysis of multiple input multiple output systems. As against the state variable approach supports analyzing both SISO as well as MIMO systems. Due to the effectiveness in analyzing linear and non-linear as well as time-varying or time-invariant systems, the state-space approach is better than the transfer function approach which is applicable to linear time-invariant systems. #vsk entertainments Thank you for watching