Executive Summary : | Many nonlinear systems are modeled as Linear Parameter Varying (LPV) ones to exploit the benefits of using vast yet rich theories available on linear control systems. Often, such a modeling is natural, particularly when the nonlinear variations depend only on few parameters, either measurable or un-measurable. The measurable parameters can be used to design and implement gain-scheduled controllers, whereas for the other category, designing robust controllers that takes care of all the possible variations is of interest. Also, certain class of nonlinear systems that are linearized around operating points can also be represented as LPV systems with the parameter variations dependent on the operating point. This proposed work concerns design of controllers for such LPV systems.
Controller design for LPV systems has attracted wide attention in the last two decades. Firstly, it is due to the theoretical results on robust control theory are not directly extendable for LPV systems. Secondly, many industrial control problems are seen to be better tackled using LPV systems than the simple linear systems. Several works on developing the related theories and applying them to industrial control problems have been made, largely visible across developed European countries. Though continuous efforts have been made in our country to develop theories either in linear or nonlinear control, limited investigations are made on controller design for LPV systems.
We propose to work on robust output feedback controller design for LPV systems. For static output feedback controller design, developing computationally efficient controller design methods is an open problem even for simple linear systems. Many sufficient conditions have been developed approximating the necessary and sufficient condition for output feedback controller design that can be solved efficiently using linear matrix inequalities (LMI). The investigators are working on developing new LMI conditions for robust output feedback controller design for linear systems. Developing similar framework for LPV systems is open and challenging (how to exploit the information of parameter variations). It is proposed to develop new theoretical results on output feedback controller design for LPV systems in terms of LMIs that can be solved to design controllers considering different practical situations, such as decentralized control, actuator saturation etc.
While developing new theories for controller design is the prime objective, application of the developed theories to industrial problems will also be investigated. In this regard, modeling and control of Permanent Magnet Synchronous Generator (PMSG) based wind-energy system is chosen as the application area. Considering the present emphasis on renewable energy systems, wind energy application based on PMSM is targeted as the test-bed of the developed LPV theories, though the same can be used for other industrial applications involving PMSGs and LPV models. |
Co-PI: | Dr. Shyam Kamal Indian Institute Of Technology (Bhu),Banaras Hindu University, Uttarpradesh, Varanasi,Uttar Pradesh,Varanasi-221005, Dr. Krishna Swami Naidu Indian Institute Of Technology (Bhu),Banaras Hindu University, Uttarpradesh, Varanasi,Uttar Pradesh,Varanasi-221005, Dr. Santosh Kumar Singh Indian Institute Of Technology (Bhu),Banaras Hindu University, Uttarpradesh, Varanasi,Uttar Pradesh,Varanasi-221005 |