Discrete Systems

Very often today, the physical systems to be controlled operate in continuous time, while the control laws are implemented in digital equipment operating in discrete time.

• Continuous: time t can take on any real value
• Discrete: time k.Te, k∈N can only take values

Servo systems (process + control law) are therefore very often hybrid systems combining continuous and discrete time.

• Use mathematical tools related to signals and discrete systems 
• Determine the continuous equivalent of a discrete system and vice versa 
• Analyze the stability of a discrete system
• Synthesizing a discrete controller

Skills developed through this module :

• Use mathematical and physical tools in an embedded systems engineering context - level 2

Systems Control course taught previously in the same semester:

• Linearize a nonlinear model around an operating point
• Transforming temporal requirements into frequency constraints
• Understand the advantages and disadvantages of each elementary control action P, I, D
• Synthesize simple feedback controllers: P, PI, PD(F), PID(F)
• Analyze the stability and performance of a control law

Available in Moodle :

• Updated PDF version of course slides
• Detailed answers to exercises covered in class
• Uncorrected examination paper
• MATLAB-Simulink self-study booklet