Contents
Chapter 1. Introduction
1.1. Nonlinear systems and robots
1.2. Some basic results
Chapter 2. Nonlinear Modeling
2.1. Rigid body motion
2.2. Manipulator kinematics
2.3. Manipulator dynamics
Chapter 3. Nonlinear Analysis
3.1. Periodic solutions
3.2. Second order systems
3.3. Lyapunov stability theory
3.4. Lyapunov’s direct method
3.5. Stability of invariant set
3.6. Nonsmooth and switching systems
Chapter 4. Nonlinear Control
4.1. Motion and force control
4.2. Nonholonomic robots and controllability
4.3. Perception and observability
4.4. Kalman filter and extended Kalman filter
4.5. Steady state response and center manifold
4.6. Center manifold theory
4.7. Zero dynamics and its applications
4.8. Disturbance decoupling problem (DDP)
4.9. Exact linearization via feedback
Chapter 5. PMP: A Special Case
5.1. Linear Quadratic Control
5.2. Derivation Using Dynamic Programming (Optional)
Chapter 6. PMP: General Results
6.1. Autonomous Systems: Fixed Initial and Final States
6.2. Optimal Control to a Manifold
6.3. Some Generalizations
6.4. How to Use PMP
Schedule
2014.7.14 (Monday) Room N420
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Lecture 1 (9:00~11:00)
Introduction and modeling
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Lecture 2 (15:00-17:00)
Modeling and analysis
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2014.7.16 (Wednesday) Room N208
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Lecture 3 (9:00~11:00)
Nonlinear analysis
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Lecture 4 (15:00-17:00)
Nonlinear analysis and control
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2014.7.18 (Friday) Room N208
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Lecture 5 (9:00~11:00)
Nonlinear controllability
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Lecture 6 (15:00-17:00)
Zero dynamics and applications
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2014.7.21(Monday) Room N420
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Lecture 7 (9:00~11:00)
Kalman filter and EKF
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2014.7.22 (Tuesday) Room N420
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Lecture 8 (9:00~11:00)
Optimal control
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2014.7.23 (Wednesday ) Room N420
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Lecture 9 (9:00~11:00)
Optimal control to a manifold
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