Minimum Entropy H_ Control

1. Front Matter

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2. Introduction

   Pages 1-5

3. The entropy of a system

   Pages 7-14

4. The minimum entropy \(\mathcal{H}_\infty\)control problem

   Pages 15-33

5. The minimum entropy \(\mathcal{H}_\infty\)distance problem

   Pages 35-47

6. Relations to combined \(\mathcal{H}_\infty\)/LQG control

   Pages 49-58

7. Relations to risk-sensitive LQG control

   Pages 59-63

8. The normalized \(\mathcal{H}_\infty\)control problem

   Pages 65-77

9. \(\mathcal{H}_\infty\)-characteristic values

   Pages 79-101

10. LQG and \(\mathcal{H}_\infty\)monotonicity

    Pages 103-109

11. Back Matter

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This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.

• Normal
• control
• design
• distance
• feedback
• uncertainty

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