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Theoretical conception of fixed-time stable systems and their analysis using explicit and implicit Lyapunov functions. Finite-time and fixed-time controllers and observers design. Digitization of finite-time and fixed-time stable control systems.
Study of homogeneity (scaling invariance) of finite-dimensional and infinite-dimensional systems. Systematic design and analysis of nonlinear controllers/observers with faster convergence, better robustness and improved safety.
Analysis and design of higher-order sliding mode algorithms with improving robustness and reducing chattering. Lyaponov functions for sliding mode control systems. Attractive Ellipsoids Method in sliding mode control.
Implementation of sliding mode control for