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PROPERTIES OF LINEAR STATE-SPACE CONTROL MODELS

PROPERTIES OF LINEAR STATE-SPACE CONTROL MODELS

In state –space control the state the inner condition of a system is fully controlled by the state equations. The output system is then determined by the combination of the current state and the output equation and it is the combination of the two equations that forms a method collectively known as the state – space control equation.

Therefore, for any system to be controlled by the employment of the state –space control it must have the following properties;

Controllability

Before using any linear state space control one should evaluate on the controllability of the model. In other words the model should be able to maneuver through the state through the control to certain places in the state space. For a state to be said to be controllable there must exist a fixed intervals.

Reach ability.

This is another property of a linear state space control model and it is somehow different from controllability. It implies that all the states in the model are reached completely.

Stabilizability

In cases where the subspace of the state space model is out of control, then the model is said to be stabilizable.

Observability

This property majorly deals with what can be narrated about the state whenever an individual is provided with the output dimensions.

Reconstruct ability

This property unlike the observability is at times applied in the discrete- time systems. It is further concerned with what can be said about the previous values.

In conclusion, these properties can be tested.

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