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Linear and nonlinear control theory The field of control theory can be divided into two branches: Linear control theory This applies to systems made of devices which obey the superposition principle, which means roughly that the output is proportional to the input. They are governed by linear differential equations.
System Order The order of the system is defined by the number of independent energy storage elements in the system, and intuitively by the highest order of the linear differential equation that describes the system. In a transfer function representation, the order is the highest exponent in the transfer function.
Containment theory, as developed by Walter Reckless in 1973, states that behavior is caused not by outside stimuli, but by what a person wants most at any given time. ing to the control theory, weaker containing social systems result in more deviant behavior.
While control theory puts the emphasis on computing a control input for obtaining a given control goal (e.g., docHub a given target in a minimal amount of time), systems theory is focused on the analysis of the systems behaviour, either for a given control or for all possible control inputs (e.g., whether a given
Its name comes from the information path in the system: process inputs (e.g., voltage applied to an electric motor) have an effect on the process outputs (e.g., speed or torque of the motor), which is measured with sensors and processed by the controller; the result (the control signal) is fed back as input to the

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Classical control theory deals with linear time-invariant (LTI) single-input single-output (SISO) systems. The Laplace transform of the input and output signal of such systems can be calculated. The transfer function relates the Laplace transform of the input and the output.
Objective: Control theory is concerned with the analysis and design of a closed-loop control system. Analysis: Closed-loop system is given to determine characteristic or behaviour. Design: Desired system characteristics or behaviour are specified configure or synthesize a closed-loop system.
The purpose of dynamics is to study how time and force act on a mechanism, while the purpose of controls is to study how a system should respond to errors and disturbances. At this point, we have described how to reason about the positions of robots and how to generate continuous paths.

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