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Active disturbance rejection dynamic surface control of time-delay system. (Chinese. English summary) Zbl 1389.93080

Summary: This paper aims at the control of high-order time-delay systems with both uncertainty and unknown input time-delay. Considering the complexity problem of control signal, on the basis of dynamic surface control method, Active Disturbance Rejection Control (ADRC) is introduced to design active disturbance rejection dynamic surface controller. Backstepping method is employed to develop dynamic surface control signal. Using Tracking Differentiator (TD) to filter the virtual control signals, the “complexity of explosion” problem of controller is eliminated without duplicate derivative of virtual signal. Disturbance rejection term is added to the actual control signal, which is obtained by Extended State Observer (ESO). Real-time control signal is ensured, while the controller structure is simplified for practical application. In the closed-loop stability proof, Lyapunov theory is employed for detail analysis. Numerical simulation results validate the efficiency of the proposed control scheme.

MSC:

93B35 Sensitivity (robustness)
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C10 Nonlinear systems in control theory