access icon free Hybrid adaptive feedforward cancellation against time-varying discrete systems with non-stationary random periodic disturbance

This study presents a novel hybrid adaptive feedforward cancellation (AFC) methodology in particular for time-varying discrete systems with stochastic periodic disturbance. The proposed hybrid AFC framework is composed of conventional AFC modules and auxiliary PID control variables. The former is traditionally constructed with sinusoidal functions and parameters of the AFC system, and the latter is added for compensating perturbation because of non-stationary random disturbance in practice. The authors derive an estimation algorithm of parameters in the hybrid AFC system by using a gradient descent based optimisation method. In addition, a theoretical investigation is conducted for verifying convergence property of the parameter estimation by means of a well-known Lyapunov stability theory. Lastly, the authors achieve numerical simulation to prove reliability and superiority of the proposed AFC algorithm by comparing to a conventional AFC approach.

Inspec keywords: gradient methods; stability; three-term control; numerical analysis; optimisation; compensation; stochastic systems; Lyapunov methods; discrete systems; parameter estimation

Other keywords: gradient descent based optimisation method; nonstationary random periodic disturbance; time-varying discrete systems; hybrid AFC system; parameter estimation algorithm; sinusoidal function; convergence property; perturbation compensation; hybrid adaptive feedforward cancellation methodology; reliability; stochastic periodic disturbance; Lyapunov stability theory; hybrid AFC framework; auxiliary PID control variables

Subjects: Stability in control theory; Discrete control systems; Optimisation techniques; Time-varying control systems; Interpolation and function approximation (numerical analysis)

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