Finite horizon optimal hybrid reference control for improving transient response of feedback control systems

Abstract

Hybrid reference control (HRC) has been known to improve transient response of a stabilised closed-loop continuous tracking system. In this paper, an optimal HRC strategy, which minimises a finite horizon quadratic performance index in the control and state error, is investigated based on the assumption that the full plant states are available for measurement. A special case of constrained optimisation problems leads to the optimal deadbeat control strategy. Conditions for asymptotic stability to default reference signal are also derived.

Keywords:

• optimal control
• internal model principle
• deadbeat response
• hybrid systems
• linear impulsive systems
• Lyapunov stability

Additional information

Notes on contributors

Endra Joelianto

Endra Joelianto received his B.Eng. degree in Engineering Physics from Bandung Institute of Technology, Indonesia, in 1990, and his Ph.D. degree in Engineering from The Australian National University (ANU), Australia, in 2002. Since 1999, he has been with the Department of Engineering Physics, Bandung Institute of Technology, Bandung, Indonesia, as a Senior Lecturer. He is a Senior Research Fellow in the Centre for Unmanned System Studies (CENTRUMSS), Bandung Institute of Technology. His research interests include hybrid control systems, discrete event systems, computational intelligence, robust control, unmanned systems and intelligent automation. He is an IEEE Member. He is the chair of the IEEE Indonesia Control Systems/Robotics Automation Joint Chapter and Society of Automation, Control & Instrumentation, Indonesia. He is an Editor of the International Journal of Artificial Intelligence (IJAI) and the International Journal of Intelligent Unmanned Systems (IJIUS). He served as the Guest Editor for several international journals.