An averaging approach to chattering
Copyright policy )An averaging approach to chattering
Sliding mode control systems with fast actuators are modeled as singularly perturbed relay control systems. Sufficient conditions for stability of fast periodic solutions to the singularly perturbed system are found. The corresponding averaged equations are introduced. If the original system is affine in the control variables, then the averaging equations agree with those obtained by the reduced system in the sliding mode. An example shows that this is no longer true if the control variables enter nonlinearly.
Averaging method for ordinary differential equations, Asymptotic stability in control theory, fast actuators, sliding mode control, relay control systems, periodic solutions, affine system, stability, Time-scale analysis and singular perturbations in control/observation systems, singularly perturbed system, Nonlinear systems in control theory, averaging methods, Variable structure systems, Periodic solutions to ordinary differential equations
Averaging method for ordinary differential equations, Asymptotic stability in control theory, fast actuators, sliding mode control, relay control systems, periodic solutions, affine system, stability, Time-scale analysis and singular perturbations in control/observation systems, singularly perturbed system, Nonlinear systems in control theory, averaging methods, Variable structure systems, Periodic solutions to ordinary differential equations
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