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Topic choices for Control Systems are shortened. Search still covers every problem.

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ProblemsClear skill: State Space Build a practice set

ProblemCourse & topicStatus

CTRL:9927151A laboratory-scale series RLC circuit is driven by an ideal independent voltage source u(t) (volts).

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927152Two open cylindrical tanks share a common floor elevation.

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927153A rotational drivetrain consists of two rigid inertias and two torsion springs.

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927154Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927155Two lumped thermal masses exchange heat by conduction and lose heat to a constant ambient.

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927156Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927157A causal continuous-time realization has…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927158Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927159Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927160A causal underdamped oscillator is realized by…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927161A strictly proper rational transfer function is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927162Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927163A continuous-time state matrix is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927164Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927165A defective continuous-time matrix is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927166A biproper SISO realization is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927167A causal two-input two-output plant is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927168A nonminimal SISO realization is…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927169Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927170A third-order controller canonical realization of the unreduced rational function…

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927171Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927172Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927173Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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CTRL:9927174Mathematical problem title

State SpaceControl Systems Problem Solving

State-space, controllability, and observabilityControl Systems · Calculation

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Showing 24 of 50 matching problems.

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An armature-controlled DC motor has armature inductance

L_a=0.0100\,\mathrm{H}

, armature resistance…

A causal continuous-time system with time

t

in seconds has state matrix…

The matrix exponential is

e^{At}=\sum_{k=0}^\infty (At)^k/k!

.

A causal SISO plant is

\dot{\mathbf{x}}(t)=A\mathbf{x}(t)+B u(t),\qquad y(t)=C\mathbf{x}(t)

, with

t

in…

A strictly proper transfer function is

G(s)=\frac{s-1}{s^2+5s+6}

, dimensionless, with

t

in seconds.

A SISO realization with

t

in seconds and dimensionless amplitudes is…

A strictly proper transfer function is

G(s)=\frac{4}{s^2+3s+2}

, dimensionless, with

t

in seconds.

A nonlinear dimensionless plant, with time in seconds, is

\dot x_1=-x_1+u,\qquad \dot x_2=x_1-x_2^3

.

A rigid simple pendulum with viscous pivot damping obeys

J\ddot\theta+b\dot\theta+m g\ell\sin\theta=u

, where…

A damped Duffing oscillator, with dimensionless displacement

x

and time in seconds, is…

Two tanks with nonlinear orifices have free-surface areas

A_1=0.400\,\mathrm{m}^2

and

A_2=0.600\,\mathrm{m}^2

.