Module 9 : Robot Dynamics & controls
Lecture 32 : General procedure for dynamics equation forming and introduction to control
Important notions :
  One of them is stability which we have seen .Others are controllability & observability.
  Controllability:
  System is said to be Controllable if robot can be taken from one to another state in finite time .
 

Linear systems:

  Conditions on matrix A,B,C,D for controllability. Matrix A, B, C, D are the coefficient matrix in state space representation.
  Observability :
 

It checks whether feedback taken from given sensors is sufficient to define state of system or not. Conditions on A, B, C, D for observability.

   
  Classical Controller Design
 
Figure 32.8
  Control Startegy 
 
  PID control action :
  We will see some features of PID controller which is widely used in practice.
It is widely used for linear and nonlinear systems.
Contol action is combination of Proportional, Integral & Derivative action .
It May not always lead to stabilizing controller.
   
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