Professor D. Subbaram Naidu

Recent Results on Nonlinear, Closed-Loop, Optimal Regulation and Tracking:

 Theory and Applications


Professor D. Subbaram Naidu, PhD, Life Fellow IEEE

Minnesota Power Jack F. Rowe Endowed Chair

University of Minnesota, Duluth, MN, United States


Abstract: In dynamic optimization of nonlinear systems, recent research interest has been the nonlinear, optimal, feedback control using State-Dependent Riccati Equation (SDRE) arising in regulator and tracking problems. An overview of the recent research results in the theory and application of the SDRE for regulation and tracking with applications to many engineering systems under deterministic and stochastic environments. The SDRE technique presents a new and computationally efficient online technique for finite-horizon nonlinear deterministic and stochastic problems. This technique is based on change of variables that converts the nonlinear differential Riccati equation (DRE) to a linear Lyapunov differential equation (LDE). In nonlinear, optimal regulation, one considers state dependent (SD) differential Riccati equation (DRE) or algebraic Riccati equation (ARE).  In nonlinear optimal tracking, one needs to consider, besides the SD-DRE, a state dependent (SD) vector differential equation (VDE).  In the application spectrum, a variety of engineering systems such as angle tracking of a gimbaled system in a missile seeker, regulation and tracking of an inverted pendulum, permanent magnet synchronous motor, a mechanical crane system, solar generator and DC motor, a robotic hand, and wind energy conversion system. A distinguishing feature of the research is the bridging the gap between software simulation and real world applications by using hardware in the loop simulation (HILS). Some of the future directions proposed under both deterministic and stochastic environments are the development of finite-horizon optimal regulation and tracking for nonlinear, discrete-time systems and for nonlinear continuous-time and discrete time systems exhibiting slow and fast time scales.

Brief Biography of the Speaker:Desineni “Subbaram” Naidu received MTech and PhD degrees in Electrical Engineering (Control Systems Engineering), from Indian Institute of Technology (IIT), Kharagpur. Dr. Naidu taught, visited and/or conducted research at IIT; Guidance and Control Division at NASA Langley Research Center; Old Domain University; Measurement and Control Engineering Research Center at Idaho State University; Center of Excellence in Advanced Flight Research at United States (US) Air Force Research Laboratory; Center of Excellence for Ships and Ocean Structures at Norwegian University of Science and Technology; Measurement and Control Laboratory at Swiss Federal Institute of Technology; Nantong University, China; the University of Western Australia in Perth, Center for Industrial and Applied Mathematics at the University of South Australia in Adelaide; Jiangsu College of Information Technology, Jiangsu, China; Center for Applied and Interdisciplinary Mathematics at East China Normal University, Shanghai, China; Institute of Systems Science,  Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China; Shanghai Jiao-Tong University, Shanghai, China. Since August 2014, Professor Naidu has been with University of Minnesota Duluth as Minnesota Power Jack Rowe Endowed Chair. Professor Naidu received twice the Senior National Research Council Associateship award from the US National Academy of Sciences, and is an elected (Life) Fellow of the Institute of Electrical and Electronic Engineers (IEEE) and an elected Fellow of the World Innovation Foundation, UK. He has over 200 journal and conference publications including 8 books. He has been on the editorial boards of several journals including the IEEE Transactions on Automatic Control and Optimal Control: Applications and Methods.