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chattering INTRODUCTION

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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chattering INTRODUCTION

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  1. 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)

  2. Singular Perturbation Theory << 1 Formally: Preposition: If the equilibrium point of the system is asymptotically stable, then

  3. *

  4. 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 .

  5. Unmodeled Dynamics Plant dynamics

  6. Stability Analysis

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