December 21-23,
2015, Islamabad
Tutorial-7: Applications of Nonlinear Control Techniques in Smart-Grid
Duration: 2 Hours
The world is entirely nonlinear, having not a single
phenomenon which is linear. Linearizing any physical
system is equivalent to going away from the actual
system.
Linear techniques have built in limitations: the major being the domain of operation which is very close to the equilibrium point, thus can’t ensure global behavior, linearization results in losing info of the actual system, can’t give info regarding asymptotic and exponential stability, may misguide about stability (linearized system may be stable but the actual one is unstable), can’t give precise info regarding region of attraction, including many others. For instance, the actual nonlinear system may have multiple isolated equilibrium points, may have limit cycles, and may show chaos and bifurcation which can’t be shown using linear techniques.
Nonlinear techniques do not have such problems, their domain of operation can be the whole space, exact info of region of attraction is obtained, global behavior can be studied, identification of limit cycles (if exists) is possible, implementation of nonlinear controller is easy as they are deeply rooted into the physics of the actual system including many others plus points.
Why studying nonlinear control techniques is important in the presence of very mature linear control techniques for studying the stability of the physical systems: what is the main edge of nonlinear techniques over the linear ones, the basic idea of Lyapunov theory which is the main tool behind almost all the nonlinear control techniques.
Linear techniques have built in limitations: the major being the domain of operation which is very close to the equilibrium point, thus can’t ensure global behavior, linearization results in losing info of the actual system, can’t give info regarding asymptotic and exponential stability, may misguide about stability (linearized system may be stable but the actual one is unstable), can’t give precise info regarding region of attraction, including many others. For instance, the actual nonlinear system may have multiple isolated equilibrium points, may have limit cycles, and may show chaos and bifurcation which can’t be shown using linear techniques.
Nonlinear techniques do not have such problems, their domain of operation can be the whole space, exact info of region of attraction is obtained, global behavior can be studied, identification of limit cycles (if exists) is possible, implementation of nonlinear controller is easy as they are deeply rooted into the physics of the actual system including many others plus points.
Key Objectives
By the end of this tutorial the attendees will know,Why studying nonlinear control techniques is important in the presence of very mature linear control techniques for studying the stability of the physical systems: what is the main edge of nonlinear techniques over the linear ones, the basic idea of Lyapunov theory which is the main tool behind almost all the nonlinear control techniques.
Tutorial Outline
1. Limitations of linear control techniques2. An introduction to nonlinear systems and their characteristics
3. Why nonlinear control: An introduction to nonlinear techniques
4. Lyapunov theory : basic idea and examples
5. Nonlinear control design, motivated by some examples
6. Examples of applications of nonlinear control techniques in smart-grids
Targeted Audience
The target audience includes, academician, companies, engineers, undergraduate and post graduate students having basic ideal of control (at least linear control systems/techniques).Tutorial Fees
For Students:IEEE Student Members: Rs. 500
Non-IEEE Student Members: Rs. 800
For Professionals:
IEEE Members: Rs. 2000
Non-IEEE Members: Rs. 3000
Instructor Biography
Dr. Iftikhar Ahmad Rana is currently an Assistant Professor at SEECS-NUST, joined NUST in 2007. Earlier he has done PhD in Robotics and Automation from University de Versailles, France. He has also done Masters in fluid mechanical engineering and power from University Pierre Marie Curie (University Paris-VI, UPMC), France. He has studied the course entitled “Introduction to Nonlinear Systems” from Dr. Hassan K Khalil, Professor at Michigan State University, who is thought to be the guru in the field of nonlinear control systems and theory.
