For the two systems shown a) Develop models representing each system b) Show the state space representation of the systems ->rhoQ_(i)(11)->(21)->(4)->
Added by Kevin E.
Close
Step 1
Texts: For the two systems shown a) Develop models representing each system b) Show the state space representation of the systems $$\rho Q_i$$ (1) (2) (3) (4) $$\rho Q_i$$ (1) (2) (3) (4) Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 97 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For each of the following systems (models), write down their state-space models in matrix form; that is, find matrices A, B, C, and D such that: dot{x}(t) = Ax(t) + Bu(t) state equation y(t) = Cx(t) + Du(t) output equation (a) dot{x}_1(t) = -x_1(t) + x_2(t) + u(t) dot{x}_2(t) = x_1(t) + x_2(t) - u(t) y(t) = x_1(t) - x_2(t) + u(t) (b) What is the order of the above system? (c) dot{x}_1(t) = -x_1(t) + x_2(t) + x_3(t) dot{x}_2(t) = 2x_1(t) - x_3(t) + 4u(t) dot{x}_3(t) = x_2(t) - x_3(t) y(t) = x_1(t) + 2x_2(t) - 3x_3(t) + u(t) (d) What is the order of the above system?
Sri K.
(a) Let A be the matrix given by A = [3 5; 1 2]. Obtain the eigenvalues and corresponding eigenvectors of A. Hence, find the solution of the linear system x = Ax, x(0)
Adi S.
Consider the liquid level system shown in Figure. In the system, Q1 and Q2 are steady-state inflow rates and H1 and H2 are steady-state liquid levels. The quantities qi1, qi2, h1, h2, q1, and q0y are considered small. Obtain the determinant of matrix A, a representation of the system in the state space when H1 and H2 are the outputs and qi1 and qi2 are the inputs. Also, consider the following values: R1 = 2, C1 = 1, R2 = 4, and C2 = 6 (dimensionless).
Andrew L.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD