My fields of research are in the design and analysis of adaptive control, robust control, parameter estimation, and observer synthesis, with a primary focus on advanced techniques for nonlinear, linear time varying (LTV) systems and systems with unknown parameters.
Current Research Directions:
1. Adaptive Observer Synthesis for Nonlinear & LTV Systems – development of adaptive observers that jointly estimate state and unknown parameters in linear, nonlinear, time-varying systems, using methods such as GPEBO (Generalized Parameter Estimation-Based Observer) and Lyapunov-based convergence analysis.
2. Parameter Estimation & Observer-Based Adaptive Control – real-time estimation of unknown system parameters is a basic problem in control theory. The modern and classical approaches such as recursive least squares, gradient descent are used. These estimates feed directly into adaptive controllers to improve system performance under uncertainty.
3. Fault Detection & Fault-Tolerant Control – fault detection and isolation in technical systems based on observer synthesis is an actively developing area in the last decade.