For each form show both state space equation and signal flow graph.
Can you also include the Matlab code
For each form show both state space equation and signal flow graph. Can you also include the Matl...
i dont understand this problem. please show how to solve all parts using MATLAB. thank you. State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization type 'companion': controllable canonical form type modal: modal canonical form poles of a system controllability matrix observability matrix eig(A) ctrb(A,B) obsv(A,C) -7 L-12 0 EX A 2C-ioD0 uestions () Define the system in the state-space form (2) Determine the stability of the system (3) Determine the controllability and the observability of the system....
Can someone please explain how to solve the problem below? 6. State Space Systems: a. (5 pts) Determine the state space system in controllable canonical form that implements the transfer function Y(s)_ 252 +5 U(s) s+4s+7s +12 b. (10 pts) For the state space system given below, design a controller u =-Kx+v such that the eigenvalues of the closed loop system are -10, – 20. To 17 , y = Cx C = [25] x = Ax+Bu with A= ln...
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
control system with observer Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
could you please answer this question QUESTION 2 Consider a system with an open-loop trans fer function given by Y(s) s+7 U(s) s2 +3s-8 (a) (8 marks) Derive a state-space model for the system in canonical form. (b) (4 marks) Check the observability of the system. (c) 8 marks) Design a suitable full-order state observer for the system. Explain your choice of the observer's poles. d) (10 marks) Design a PI controller for the system so the output of the...
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 tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
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...
Problem 2. A signal flow graph for a system with input (k) and output y(k) is shown in Figure 1. 0.005 r(k) ei(k) z1v2(k) Vk) 0.03 0.1 0.05 e2(k) y(k) 0.07 e2(k) 11 0.7 0.2 V4(k) y(k) 0.9 0.4 Figure 1. Signal flow graph of a system. e) Find a state-space representation of the system in Figure 1 with state variables Find the transfer functionusing using Mason's gain rule and one other technique to verify the R(E) result g) Suppose...
a-represent system in state space form? b-find output response y(t? c-design a state feedback gain controller? 3- A dynamic system is described by the following set of coupled linear ordinary differential equations: x1 + 2x1-4x2-5u x1-x2 + 4x1 + x2 = 5u EDQMS 2/3 Page 1 of 2 a. Represent the system in state-space form. b. For u(t) =1 and initial condition state vector x(0) = LII find the outp (10 marks) response y(t). c. Design a state feedback gain...
Q1, pease help asap, please write clearly. Thanks in advance. 1. Given the transfer function of the control system. (60%) G(s) S) 5s+13 R(s) +6s+13 Y (1) Sketch the state diagram in the form of signal flow graph. (2) Find the state equations. (3) Find the output equation. (4) Find the fundamental matrix 2(t). (5) Find the state-transition matrix D(t) (6) Find the state vector x(t) if the input r(t) 2 and y(0)= (0) = 0 . 1. Given the...