1- A system has a block diagram as shown. Determine a state variable representation (model) and...
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...
20 points] Q1. The Stately State Transition Matrix, Ф 16 2 3 13 Consider a state transition matrix, Ф, for a SISO LTI system A1. A- 5 11 10 8 9 76 12 Please determine and justify: (a) Ф(t) for this system A 4 14 15 1 ] (b) Ф(s) for this system A (c) System A's characteristic polynomial (d) Ф(z) for this system A via Tustin's method (ie, trapazoid-rule) (e) A difference equation assuming: (1) a step input at...
15% - 3 – A system has a state variable representation as below face) = (4) (0) + (C) u(e) y(t) = (1 0)x(t) It is desired that the canonical diagonal form of the system to be fact) = (94) z(t) + (7) u(t) y(t) = (-5 5)2(t) Determine the parameters a, b and d to yield the required diagonal matrix.
c(s), A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method", find the transfer function of the system. b) Determine the characteristic function and the order of the system. c) Find the characteristic roots of the system. d) Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 * NOTE: All stages of block diagram reduction must be...
The input x(t) and output y(t) of a causal LTI system are related through the block-diagram representation shown in Figure P 9.35. Determine a differential equation relating y(t) and x(t). is this system stable?
.matlab Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response. Student Instructions: The following spring-mass-damper system has no external forcing, that is u(0)-0. At time t- 0 it has an initial condition for the spring, which it is distended by one unit: y(0)-1. The system will respond to this initial condition (zero-input-response) until it reaches equilibrium. 0)1initial condition...
Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram representation into the state space representation by find coefficients of the A, B, C, and D matrices and vectors, using the state variables given in the diagram (a) ing the (b) Determine the controllability and observability of the system.
Problem - Overall Stability (10 points) i) A system has the block diagram representation as shown in Fig. 1, where G(s)-10 (s+15)2 and G s+80 where K is always positive. The limiting gain for a stable system is Controller Process +e Va(s) Fig. 1. Block diagram
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
Answer Q.2,3,4 and 5 9:56 Done 5 of 7 04. a) Obtain the state variable model of the following system. Find A and B matrices in standard form. 3X(t) 6X(t) + 12 X()+3 Y (t) U() 4 Y(t) + 4 X(t)+8 Y(t)-12 U(t) b) Let the Outputs be X and Y + U(you might have renamed those variables. Use names), find C and D metrices in standard form. your new os.a) Draw a block diagram for h folowing model. The...