Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems

Abstract

Abstract This work is mainly focused on the design of uncertainty and disturbance estimator‐based tracking control scheme for a class of periodic piecewise time‐varying delay systems with uncertainties and disturbances. Precisely, the considered system consists of several subsystems, where the fixed dwell time and switching sequence are utilised to achieve the coordination between each subsystem. By constructing Lyapunov–Krasovskii functional with time‐varying periodic piecewise matrices and employing the matrix polynomial approach, an uncertainty and disturbance estimator‐based periodic tracking control design is developed such that the trajectories of the considered system are driven to track the reference model. Moreover, the lumped disturbances so called the summation of uncertainties and exogenous disturbances are estimated with the aid of strictly proper low‐pass filter. Finally, a numerical example is presented to verify the effectiveness and advantages of the developed theoretical results.

Keywords

• Interpolation and function approximation (numerical analysis)
• Linear algebra (numerical analysis)
• Control system analysis and synthesis methods
• Stability in control theory
• Time-varying control systems
• Distributed parameter control systems