𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability analysis with Popov multipliers and integral quadratic constraints

✍ Scribed by Ulf Jönsson

Book ID
104301019
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
497 KB
Volume
31
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ensure boundedness of the IQC corresponding to the Popov multiplier. A consequence of our main result is that the classical Popov criterion can be combined with a stability criterion for slope restricted nonlinearities developed by Zames and Falb. An example shows that the combination of these two criteria is useful in applications.

📜 SIMILAR VOLUMES

Linear-quadratic optimal control with in
Linear-quadratic optimal control with integral quadratic constraints
✍ A. E. B. Lim; Y. Q. Liu; K. L. Teo; J. B. Moore 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB 👁 2 views

We derive closed-form solutions for the linear-quadratic (LQ) optimal control problem subject to integral quadratic constraints. The optimal control is a non-linear function of the current state and the initial state. Furthermore, the optimal control is easily calculated by solving an unconstrained