computed torque control - seoul national university · 2018. 4. 16. · 1 dongjunlee motion control...

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1

Dongjun Lee

Motion Control of Robotic Manipulators

Dongjun Lee (이동준)

Department of Mechanical & Aerospace EngineeringSeoul National University

Dongjun Lee

Computed Torque Control

exact dynamics cancelation

2

Dongjun Lee

Stabiliy of Second‐Order LTI System

Dongjun Lee

Cross‐Coupling Term

cross‐coupling term

3

Dongjun Lee

Lyapunov Stability ‐Definition

(1857‐1918)

Dongjun Lee

Lyapunov Stability ‐ Examples

4

Dongjun Lee

Lyapunov Direct Theorem

x

V

negative‐definite

negativesemi‐definite

Dongjun Lee

Lyapunov Stability – Non‐autonomous System

5

Dongjun Lee

Lyapunov Direct Theorem

decrescent condition

strictly‐increasing with (0)=0

Dongjun Lee

Passivity‐Based Control

feedforward (inverse dynamics) kinematic feedback

6

Dongjun Lee

Passivity‐Based Tracking Control

dynamics utilized

Dongjun Lee

Passivity‐Based Stabilization

7

Dongjun Lee

Invariance Principle

Dongjun Lee

Passivity‐Based Tracking Control

8

Dongjun Lee

Barbalat’s Lemma

Dongjun Lee

Trajectory Tracking Convergence Proof

9

Dongjun Lee

Trajectory Tracking Control ‐Theorem

Dongjun Lee

Alternative Passivity‐Based Control with r

10

Dongjun Lee

Effect of Uncertainty ‐ I

Dongjun Lee

Effect of Uncertainty ‐ II

uncertainty

matching uncertainty: appears in same channel with control

negative‐definiteas before

want to make still negativeeven with uncertainty

11

Dongjun Lee

Passivity‐Based Robust Control

matched uncertainty

Dongjun Lee

Boundary‐Layer Approximation

hold for all t

12

Dongjun Lee

Ultimate Boundedness

Dongjun Lee

Passivity‐Based Adaptive Control

passivity (cf. CLF)

13

Dongjun Lee

Convergence Proof

Dongjun Lee

Observability of LTV Systems

14

Dongjun Lee

Observability Grammian

Dongjun Lee

Persistency of Excitation

15

Dongjun Lee

Workspace EF Control

Dongjun Lee

Workspace Dynamics

16

Dongjun Lee

Workspace Control

wrench sensing

Dongjun Lee

Workspace Control: Example

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