Chapter 4 Flashcards

1
Q

What are the three problems encountered in System Theory?

A
  1. Simulation
  2. Control
  3. System Identification
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2
Q

What is system identification?

A

System identification is the determination, on the basis of observation of input and output, of a system within a specified class of systems to which the system under test is equivalent.

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3
Q

What are the must haves of data gathering for system identification?

A
  • Minimum sampling rate given by Nyquist frequency (twice the frequency of interest)
  • A signal-to-noise ratio of significantly higher than 1 (literature: 10:1)
  • Time-tagging of measurement channels
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4
Q

What are the types of sensors / measurements for an Aircraft? (6)

A
  • Basic Aircraft Sensors
  • Inertial Sensors
  • GNSS
  • Air Data Sensors
  • Control Surface Deflections
  • Pilot Forces
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5
Q

What are three important inertial sensors?

A
  • Accelerometers
  • Gyroscopes
  • Angular Accelerometers
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6
Q

What is the difference between integrating and non-integrating sensors?

A

Non-Integrating sensors measure rates,

Integrating sensors measure increments

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7
Q

Where should accelerometers be installed?

A

Near the center of gravity

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8
Q

What are the components of a mechanical accelerometer? How does it work?

A
  • proof mass
  • suspension for mass
  • pickoff providing signal related to the acceleration

Measures acceleration by measuring deflection of proof mass from initial position while also accounting for gravitational force

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9
Q

What are the three main types of gyroscopes and what physical effect do they use?

A
  1. Spinning mass : Gyroscopic moment
  2. Optical Laser Ring (RLG) / Fiber Optic (FOG) : Sagnac
  3. Micro Electro Mechanical Sensor (MEMS) : vibratory
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10
Q

What are the advantages and disadvantages of spinning mass gyros?

A

Advantages:
- Wide performance range of 0.0001 to >100 degree /h

  • Low noise

Disadvantages:
- High cost
- Long warmup
- Fragile

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11
Q

What are the advantages and disadvantages of RLG/FOG gyros?

A

Advantages:
- Rapid reaction and turn on <1s

  • No moving parts

Disadvantages:
- Performance increases with size

  • High Voltage device
  • Temperature sensitive
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12
Q

What are the advantages and disadvantages of MEMS gyros?

A

Advantages:
- Small
- No moving parts
- Low cost

Disadvantages:
- Higher precision to be developed

  • Limited performance range
  • Bias stability
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13
Q

What are the Air Data systems and what info do they provide?

A
  • Air data systems (ADS) provide calibrated measurements of atmospheric conditions and the aircraft’s aerodynamic state:
  • Static Pressure, pressure altitude, rate of climb
  • Total Pressure, dynamic pressure
  • Mach Number, calibrated and equivalent air speed
  • AOA
  • Angle of sideslip
  • True airspeed, air density, temperature
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14
Q

What are pitot static probes?

A
  • Probes that measure total pressure at the stagnation point, static pressure in cavities. Are different from pitot probes as they also give differential pressure
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15
Q

How are pilot forces meausred?

A

Strain gauges on control rods

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16
Q

What are the three types of Sensor errors?

A
  1. Systematic Errors
  2. Random Errors
  3. Sensor Dynamics
17
Q

What is hysteresis error?

A

Different output for increasing and decreasing input

18
Q

What is Bias instability?

A

Random medium to long-term bias variation

19
Q

What is dead band error?

A

Small area around null where input is not detected

20
Q

What is resolution / quantization error?

A

Minimum measurable input/floating point representation

21
Q

What is turn on bias?

A

Variation of scale factor and bias from day-to-day

22
Q

What are the error sources for GNSS? (6)

A
  1. Ephemeris Range error:
    Difference between true and broadcast satellite position
  2. Atmospheric Range Error: Speed of signal affected by atmosphere
  3. Multipath range error:
    Due to reflected signals from surfaces near receiver
  4. Receiver Clock Error:
  5. Satellite clock error:
  6. Receiver Noise
23
Q

What does the integration of errors produce?

A

Large deviations

24
Q

What are some values used in linear regression and what do they mean? (7)

A
  1. Independent variables x: Influence the output
  2. Regressors: Functions of the independent variables included in the model
  3. Regressor matrix X: All regressors in one matrix
  4. Dependent variable y
  5. Measurements z: Observation of output including error
  6. Parameters \theta
  7. Error r
25
What is the problem statement and Solution of the least squares method?
For an over-determined system z=x\theta the number of parameters is less than the number of equations so there doesn't exist a solution that satisfies all equations We find an approximate solution that minimizes the Euclidian-Norm of the vector x\theta - z
26
What are the assumptions for ordinary least square?
- Model is linear in parameters - Regressors are deterministic - White zero mean measurement noise with constant variance
27
What are some measures of accuracy for ordinary least squares?
Parameter Covariance and Correlation Matrix Noise Covariance and Fit Error Coefficient of Determination
28
What are the sum of squares for ordinary least squares?
Measure deviation from Model - Total sum of Square - Regression Sum of Square - Residual Sum of Square
29
What is the coefficient of determination?
Ratio of Explained info to total info
30
What are some properties of ordinary least square estimators?
- Unbiased - Minimum Variance - Consistent - Maximum Likelihood
31
What is the residual?
Shows model deficiencies and departure from the underlying assumptions
32
What are tests of residual analysis?
1. Whiteness Test 2. Graphical Analysis 3. Tests for Normality
33
What are four additional least square methods?
- Multidimensional - Generalized - Total - Recursive
34
What are regressors?
Regressors are explanatory functions, built from the independent variables, in order to explain the dependent variable