Many realistic engineering systems are large in dimension and stiff for computation. Their analysis and control require extensive numerical algorithms. The methodology of singular perturbations and time scales (SPTS), crowned with the remedial features of order reduction and stiffness relief is a powerful technique to achieve computational simplicity.
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs.
The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations). Another feature is the extensive bibliography, which will hopefully be of great help for future study and research. Also of particular interest is the categorisation of an impressive record of applications of the methodology of SPTS in a wide spectrum of fields, such as circuits and networks, fluid mechanics and flight mechanics, biology and ecology, and robotics.
This book is aimed at graduate students, applied mathematicians, scientists and engineers working in universities and industry.
- Chapter 2: Singular perturbation method
- Chapter 3: Time-scale analysis
- Chapter 4: Open-loop optimal control of continuous systems
- Chapter 5: Open-loop optimal control of discrete systems
- Chapter 6: Closed-loop optimal control of continuous systems
- Chapter 7: Closed-loop optimal control of discrete systems
Desineni S. Naidu was born and educated in India. He received his B.E. degree in Electrical Engineering from Sri Venkateswara University, Tirupati, in 1964 and M. Tech. and Ph.D. degrees in Control Systems Engineering from the Indian Institute of Technology, Kharagpur. Until 1984, he was with the Department of Electrical Engineering, LIT., Kharagpur. During 1985 and 1986, he held a National Research Council Senior Resident Research Associateship at the Guidance and Control Division, NASA Langley Research Center, Hampton, USA. At present, he is with Old Dominion University Research Foundation, Norfolk, USA. His primary areas of teaching and research include control systems, microprocessors, singular perturbations, and digital flight control systems. He has about 50 published works including a recent research monograph, 'Singular Perturbation Analysis of Discrete Control Systems', published as Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1985. He is a Member of AIAA and a Senior Member of the IEEE.