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m. n. chattering INTRODUCTION. ■ Causes of Chattering. 1. Fast dynamics disregarded in an ideal model (unmodeled dynamics) 2. Switching frequency limitation. * Discrete time system (discretization chattering). Singular Perturbation Theory. << 1. Formally:. Preposition:
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m n chattering INTRODUCTION ■ Causes of Chattering 1. Fast dynamics disregarded in an ideal model (unmodeled dynamics) 2. Switching frequency limitation * Discrete time system (discretization chattering)
Singular Perturbation Theory << 1 Formally: Preposition: If the equilibrium point of the system is asymptotically stable, then
Example where a and b are negative constant while c and d are positive constant values. Those equations govern a simple ‘inverted pendulum’ system when is angular displacement and the system is known to be unstable for .
Unmodeled Dynamics Plant dynamics