The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tan...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively, h,h2,h3. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qǐ1,W2,4a. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks...
Control System. please answere all the three questions. Please do not use wikipedia 13. If a state space description of a control system has 4 degrees of freedom on the state vector, what is the size of the system matrix A?. 14. Write down the equation for x in terms of x where x is the state vector and u is the input vector. 15. Now write down the equation for the output y 13. If a state space description...
3 Consider two tanks, A and B, each holding 200 litres of water. A pipe pumps water from tank A to tank B at a rate of 5 1/min. At the same time another pipe pumps liquid from tank B to tank A at the same rate. At time t = 0, X0 kg of a chemical X is dissolved into tank A, and tank B has yo kg of the same chemical X dissolved into it. i) Write down...
Consider the two interconnected tanks shown in Figure 7.1.6. Tank 1 initially contains 30 gal of water and 25 oz of salt, and Tank 2 initially contains 20 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5 gal/min. The mixture flows from Tank 1 to Tank 2 at a rate of 3 gal/min. Water containing 3 oz/gal of salt also flows into Tank 2 at a...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz 30/gal 4 galimin Q un salt Q.) o salt Tank 1 Tank 2 4 l/min Tank 1 initially contains 60 gal of water and 25 oz of salt, and Tank 2 initially contains 44 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixture flows from Tank 1...
3. Consider the Linear Time-Invariant (LTI) system decribed by the following differential equation: dy +504 + 4y = u(t) dt dt where y(t) is the output of the system and u(t) is the input. This is an Initial Value Problem (IVP) with initial conditions y(0) = 0, y = 0. Also by setting u(t) = (t) an input 8(t) is given to the system, where 8(t) is the unit impulse function. a. Write a function F(s) for a function f(t)...
This is all suppose to be a 1 file code in Matlab For the three problems below create one script, HW8.m and upload it to Blackboard. Each problem must begin with the following lines of code: %Problem # (Insertproblem number) clear (clears workspace) Nothing should write to the screen except for the information requested in each problem. Le use semi-colons throughout your code. Problem 1. An industrial process of water flows through three tanks in succession as illustrated in the...
(7 10 Two connected tanks, each with a capacity of 60 liters, contain brine (salt water) Initially the firs tank contains 40 liters and the second tank contains 30 liers. Brine with a salt conccntration of 1 grams per litcr flows into the first tank at S litcrs per hour. Well-stirred brine flows from the first tank into the second at 7 liters per hour from the second nto the fist at3 lters per honr, from the first into a...
Each of the tanks shown in Figure 3.2.9 contains a brine solution. Assume that Tank 1 initially contains 30 gallons (gal) of water and 55 ounces (oz) of salt, and Tank 2 initially contains 20 gal of water and 26 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5 gal/min, and the well-stirred solution flows from Tank 1 to Tank 2 at a rate of 3 gal/min. Additionally, water containing 3...