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Hence, a small-gain theorem-based robust control design technique allows to obtain a controller which assures BIBO stability in the required sampling period interval.
In the second stage, a machine learning technique is applied to obtain a controller that maps these high level variables to the control commands that are actually sent to the robot.
These controllers are then combined to obtain a controller for the expanded DES.
This enables us to obtain a controller network that is robust against uncertainties of the network topology.
Then, using a concretization procedure, we obtain a controller for our initial system that is proved "correct by design".
The nonholonomic constraints are included during the design of the goal virtual Lagrange function in order to obtain a controller whose outputs satisfy the velocity constraints.
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The procedure consists of an input - output feedback linearization of the nonlinear model that characterises this system followed by the design by sliding control procedure based on the backstepping theory with the objective of obtaining a controller capable of performing the regulation control and the tracking control purposes.
The use of immersion techniques eliminates the dependence of the controller on parameters, so obtaining a controller ensuring zero tracking error.
The synthesis problem consists of obtaining a controller that ensures stability and meets a given set of performance specifications, in spite of the disturbance and model uncertainties.
Analysis shows that when ignoring damping, the yaw control channel is available to the minimum principle of Pontryagin for optimal control, which can obtain a Bang Bang controller.
In this paper the LMI optimization technique is used to obtain a single controller while MOGA is used to convert the controller design into a multi-objective optimization procedure.
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