Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations

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Previous Chapter

Table of Contents

List of Figures

1.1 Feedback Configuration for Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

1.2 Feedback Configuration for Nonlinear Mixed $H_{2}$ $H_{2}$ / $H_{\infty}$ $H_{\infty}$ -Control

1.3 Feedback Configuration for Robust Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

1.4 Configuration for Nonlinear $H_{\infty}$ $H_{\infty}$ -Filtering

3.1 Feedback-Interconnection of Dissipative Systems

3.2 Feedback-Interconnection of Dissipative Systems

5.1 Feedback Configuration for State-Feedback Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

5.2 Controller Parametrization for FI-State-Feedback Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

6.1 Configuration for Nonlinear $H_{\infty}$ $H_{\infty}$ -Control with Measurement-Feedback

6.2 Parametrization of Nonlinear $H_{\infty}$ $H_{\infty}$ -Controllers with Measurement-Feedback

6.3 Configuration for Robust Nonlinear $H_{\infty}$ $H_{\infty}$ -Control with Measurement-Feedback

7.1 Full-Information Feedback Configuration for Discrete-Time Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

7.2 Controller Parametrization for Discrete-Time State-Feedback Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

7.3 Configuration for Output Measurement-Feedback Discrete-Time Nonlinear $H_{\infty}$ $H_{\infty}$ -Control

8.1 Configuration for Nonlinear $H_{\infty}$ $H_{\infty}$ -Filtering

8.2 Nonlinear $H_{\infty}$ $H_{\infty}$ -Filter Performance with Known Initial Condition

8.3 Nonlinear $H_{\infty}$ $H_{\infty}$ -Filter Performance with Unknown Initial Condition

8.4 Configuration for Robust Nonlinear $H_{\infty}$ $H_{\infty}$ -Filtering

8.5 1-DOF and 2-DOF Nonlinear $H_{\infty}$ $H_{\infty}$ -Filter Performance with Unknown Initial Condition

8.6 Configuration for Discrete-Time Nonlinear $H_{\infty}$ $H_{\infty}$ -Filtering

8.7 Discrete-Time Nonlinear $H_{\infty}$ $H_{\infty}$ -Filter Performance with Unknown Initial Condition

8.8 1-DOF Discrete-Time $H_{\infty}$ $H_{\infty}$ -Filter Performance with Unknown Initial Condition

8.9 2-DOF Discrete-Time $H_{\infty}$ $H_{\infty}$ -Filter Performance with Unknown Initial Condition

11.1 Set-Up for Nonlinear Mixed $H_{2}$ $H_{2}$ / $H$ $H$ _∞-Control

12.1 Set-Up for Mixed $H_{2}$ $H_{2}$ / $H$ $H$ _∞ Nonlinear Filtering

12.2 Nonlinear $H_{2}$ $H_{2}$ / $H$ $H$ _∞- Filter Performance with Unknown Initial Condition

12.3 Set-Up for Discrete-Time Mixed $H_{2}$ $H_{2}$ / $H_{∞}$ $H_{∞}$ Nonlinear Filtering

12.4 Discrete-Time $H_{2}$ $H_{2}$ / $H_{∞}$ $H_{∞}$ -Filter Performance with Unknown Initial Condition and ℓ₂- Bounded Disturbance

12.5 Extended-Kalman-Filter Performance with Unknown Initial Condition and ℓ₂- Bounded Disturbance

13.1 Nonlinear Benchmark Control Problem

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