𝔖 Bobbio Scriptorium
✦   LIBER   ✦

PID controller optimization for H∞ control by linear programming

✍ Scribed by Masami Saeki; Koji Aimoto

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
160 KB
Volume
10
Category
Article
ISSN
1049-8923

No coin nor oath required. For personal study only.

✦ Synopsis

The constraints on the PID gains, which are derived from the H norm performance index by discretization of the frequency, are convex or concave depending on frequencies. This problem is a non-convex problem, and a new method of approximating these constraints as adequate linear inequalities is proposed. Then, the optimal solution can be e$ciently and successfully searched for by applying linear programming iteratively. This method is compared with methods based on barrier function and linear matrix inequality.

📜 SIMILAR VOLUMES

Optimality Criterion for Singular Contro
Optimality Criterion for Singular Controllers: Linear Boundary Conditions
✍ O. Vasilieva; K. Mizukami 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 252 KB

This paper is concerned with the dynamic process governed by the boundary value problem. We examine the situation with the appearance of singular controllers and formulate a second-order optimality criterion on the basis of the increment formula. We also show how to apply this criterion as a verifyi