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Chapter 11
Matching Terms & Concepts
Matching Terms & Concepts
This activity contains 1 question.
Match the term with it's definition
A matching question presents 17 answer choices and 17 items. The answer choices are lettered A through Q. The items are numbered 1.1 through 1.17. Screen readers will read the answer choices first. Then each item will be presented along with a select menu for choosing an answer choice.
Using the pull-down menus, match each item in the left column to the corresponding item in the right column.
Stabilizing controller
Controllability matrix
Stabilizable
Command following
State variable feedback
Full-state feedback control law
Observer
Linear quadratic regulator
Optimal control system
Detectable
Controllable system
Pole placement
Estimation error
Kalman state-space decomposition
Observable system
Separation principle
Observability matrix
1.1 Occurs when the control signal for the process is a direct function of all the state variables.
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1.2 A system in which any initial state
is uniquely determined by observing the output
on the interval
.
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1.3 A system in which there exists a continuous input
such that any initial state
can be driven to any arbitrary trial state
in a finite tiime interval
.
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1.4 A system whose parameters are adjusted so that the performance index reaches an extremum value.
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1.5 An important aspect of control system design wherein a nonzero reference input is tracked.
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1.6 A linear system is (completely) controllable if and only if this matrix has full rank
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1.7 A system in which the states that are unobservable are naturally stable.
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1.8 The difference between the actual state and the estimated state.
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1.9 A control law of the form where
, where x is the state of the system assumed known at all times.
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1.10 A partition of the state space that illuminates the states that are controllable and unobservable, uncontrollable and unobservable, controllable and observable, and uncontrollable and observable.
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1.11 An optimal controller designed to minimize a quadratic performance index.
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1.12 A linear system is (completely) observable if and only if this matrix has full rank.
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1.13 A dynamic system used to estimate the state of another dynamic system given knowledge of the system inputs and measurements of the system outputs.
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1.14 A design methodology wherein the objective is to place the eigenvalues of the closed-loop system in desired regions of the complex plane.
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1.15 The principle that states that the full-state feedback law and the observer can be designed independently and when connected will function as an integrated control system in the desired manner (i.e., stable).
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1.16 A system in which the states that are not controllable are naturally stable.
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1.17 A controller that stabilizes the closed-loop system.
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