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Comparison of classical state space control and fuzzy control

Comparison of classical state space control and fuzzy control. Felix Bierbaum. State space control. Based on mathematical model of the physical system Continuous time or discrete time Laplace transforms or z-transforms. Fuzzy Control. Based on rules No explicit mathematical model needed

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Comparison of classical state space control and fuzzy control

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  1. Comparison of classical state space control and fuzzy control Felix Bierbaum

  2. State space control • Based on mathematical model of the physical system • Continuous time or discrete time • Laplace transforms or z-transforms

  3. Fuzzy Control • Based on rules • No explicit mathematical model needed • Always discrete time

  4. Example: Roll bite

  5. Mathematical model

  6. Block diagram of state space controller

  7. Membership function for fuzzy variables Fuzzy sets HEIGT: Low (L), Little Low (LL), OK, Little High (LH) and High (H) ANGLE: Negative (N), Negative small (NS), Zero (Z), Positive small (PS) and Positive LEFT: Down (LD), Little Down (LLD), Still (LS), Little up (LLU) and Up (LU) LEFT: Down (RD), Little Down (RLD), Still (RS), Little up (RLU) and Up (RU)

  8. and N NS Z PS P L LU/RU LLU/RU LLU/RLU LU/RLU LU/RU LL LS/RU LS/RLU LLU/RS LLU/RS LU/RLU OK LD/RU LLD/RLU LS/RS LLU/RLD LU/RD LH LD/RLD LLD/RS LLD/RLD LS/RLD LLD/RD H LD/RD LD/RLD LLD/RLD LLD/RD LD/RD Rule base

  9. Height of roll bite [m] vs. time [s] using state space controller Height of roll bite [m] vs. time [s] using fuzzy controller Simulation results

  10. Better performance Mathematical model needed Metrics for evaluation (command tracking, dynamic stiffness...) Good performance No mathematical model needed No metrics for evaluation Conclusions Fuzzy Control State space control

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