Plenary Lecture

An Exact Calculation Method of Nonlinear Optimal Controls and Applications in Aerospace Fields

Professor Fumiaki Imado
Department of Mechanical Systems Engineering
Shinshu University
4-17-1 Wakasato Nagano
Nagano 380-8553 JAPAN
E-mail: imado@imado1.shinshu-u.ac.jp

Abstract: Obtaining optimal controls for high-dimensional nonlinear dynamic systems are very important, but generally very difficult. Until 1980s several regular methods such as steepest gradient method have been developed und employed. After that, direct shooting methods with mathematical programming, or Neural net become very popular, they are on the market and regular methods were obsolete. These new methods are easy to use even for beginners. However, they can obtain only approximate solutions without precision. Also, they cannot apply for high-dimensional complicate problems. The main reason why the old regular methods are obsolete is, they require the user’s several experiences and expertise to converge the solutions. Authors have developed some solvers which based on classical steepest gradient method, but automatically can obtain the converged solutions by introducing many expertise based on our former experiences. Among them, the algorithm of one solver, ‘STP-CODE’ is explained and several example solutions such as; Optimal orbit transfer of a satellite, Optimal midcourse guidance of a missile, Optimal counter attack missile trajectories against tactical ballistic missiles, Optimal missile avoidance of an aircraft etc. are shown. The program is also useful to obtain differential game solutions. The application result for a missile-aircraft pursuit-evasion game is also shown.

Brief Biography of the Speaker:
Professor Fumiaki Imado
March 1945 Born in Tokyo, Japan
March 1968 BS, Department of Aeronautics, Faculty of Engineering University of Tokyo
March 1970 MS, Graduate course of Aeronautics University of Tokyo
March 1973 Dr. of Engineering, Graduate course of Aeronautics University of Tokyo
April 1973- Engineer Central Research Laboratory, Mitsubishi Electric Corporation
April 1977- Senior Engineer
Sept. 1984- Chief Engineer
Sept. 1991- Department Manager
April 1994- Professor, Department of Mechanical Systems Engineering, Shinshu University
Guest Researcher
1994, 1996, 2000.: National Aerospace Research Laboratory, Japan
1999.: Israel Institute of Technology, Israel
Guest Lecturer
1991-1993, 1995, 1998.: Chunshuan Science and Institute of Technology, Taiwan
1998.: Korean Advanced Institute of Technology, Korea
2000.: Silesian University of Technology, Poland
2002.: Kiev University of Technology, Ukraina
Academic societies
International Society of Dynamic Games (Executive Board 2000-2004), AIAA (Senior member), Information Technology Econometrics and Management (Founding Editor)
Domestic (Many important posts such as Executive board, Department chief, Symposium general chairman, Associate editor etc. are included)
Japan Society of Aeronautical Science and Space
Society of Instrumentation and Control Engineers
Japan Society of Mechanical Engineers
Japan Society of Biomechanics
Japan Society of Robotics
The Institute of Electronics, Information and Communication Engineers
Japan Society of Engineering Education
etc.

Achievements include many patents for artificial satellite, missile guidance and control field. His studies has been published in Journal of aircraft, Journal of guidance and control, Computer mathematics with applications, International game theory review etc. and many Japanese Journals.
Fields of Study and Research
Guidance and Control in Aerospace Fields
Nonlinear Optimal Control and Dynamic Games
Covariance Analysis of Nonlinear Systems
Robotics