The equations used in the question are the generalized equations. Hence you would need to modify equations such that the connecting control valves introduces non-linearities within the system (equivalent to the example covered in the tutorial). Also, the objective is to control the heights of both the tanks; thus, the control inputs will be q and q1 only. Since I have not given any specific value to be considered kindly use values accordingly. Please share detailed solution

1. Consider the two tank system as shown in figure 1 modeled by following set of equations: Question 1 continus on the next page... For tank 1: A1dtdh1=(qq1) For tank 2: A2dtdh2=(q1q2) Following steps must be followed and must be explained sequentially in the report: (a) Linearize the system around its operating point. (b) Design a fixed-gain controller for the linearized system. (c) Schedule the controller gains based on the operating conditions. (d) Implement the controller and report the observations. (e) Compare and contrast the performance of a gain scheduling controller and a fixed gain controller for a given application