This paper considers the problem of simultaneous H °° control of a finite collection of linear time-invariant systems via a nonlinear digital output feedback controller. The main result is given in terms of the existence of suitable solutions to Riccati algebraic equations and a dynamic programming
On the static H∞ control problem
✍ Scribed by Nikita E. Barabanov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 93 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0167-6911
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✦ Synopsis
The problem of existence of static controller in standard H∞ control problem or, equivalently, solvability of a couple of Riccati inequalities with respect to the same Hermitian matrix is reduced to solvability of a single Riccati inequality. This inequality is presented in a form which is bilinear with respect to unknown parameters. In a special case the inequality is transformed to LMI.
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