A novel strategy for identification and control of a class of linear systems

Abstract

Control of time-varying systems has become increasingly popular in recent years, as various domains such as aviation, automobile and manufacturing industries require a quick and precise response in the presence of uncertainties. Adaptive control, a popular strategy is used to control systems with unknown or time-varying properties. Classic adaptive control is insufficient to cope with time-varying parameters to produce desired results with minimal parametric error. Furthermore, for these strategies to work, identification model must be initialised closer to the plant. Else the transient response of the plant is likely to grow unbounded. This paper mainly concentrates on employing adaptive control for a type of linear time-invariant (LTI) and linear time-varying (LTV) systems. The time variations in LTV plant parameters are either slow, rapid or fast. This research in turn proposes a two-stage adaptive scheme which swiftly determines the compact region in which plant parameters reside. This method in turn ensures atleast one model to be initialised closer to the plant which significantly reduces parametric estimation error. The uniform boundedness of identification error, tracking error as well as the parametric error of LTI and LTV systems, are deduced. Sufficient examples are also considered to demonstrate the efficacy of the proposed two-stage scheme.

Keywords:

• Adaptive control
• linear systems
• multiple models
• continuous-time systems

Data Availability Statement

Data sharing is not applicable to this article as no data sets were generated or analysed during the current study.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Karpagavalli Subramanian

Karpagavalli Subramanian received her B.E. from Madras University and M.Tech. from Visvesvaraya Technological University, Belgaum, India. She has been with PES Institute of Technology (now, PES University) since 2010. Her research interests include adaptive control, linear and nonlinear time varying systems and neuro-adaptive control.

T. S. Chandar

T. S. Chandar received his B. E. from Madurai Kamaraj University, M. E. from Pune University and PhD from Defence Institute of Advanced Technology. He has around 25 years of field experience in maintenance and operation of Communication Systems and has been working PES Institute of Technology (now PES University) since 2012. His areas of interest include development of robust control strategies for applications in the field of aerospace, robotics, marine and medical applications.