## Feedback Invariants of Linear Multivariable Systems* Invariants de r6action des syst&nes lin6aires h variables multiples. Invarianten der Zustandsrtickftihrung bei linearen Mehrgr6Bensystemen l(IHBapI, IaHTbI o~paYHO~ CB~I314 MHOFOKOOp~I4HaTHblX YlI4HeHHblX CriCTeM
Near insensitivity of linear feedback systems
β Scribed by Kar-keung D. Young
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 833 KB
- Volume
- 314
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, the notion of near insensitivity with respect to disturbance and parameter variations is introduced as a performance measure for linear feedback systems and conditions for near insensitivity are derived. It is shown that near insensitivity is attainable with high gain feedback provided that certain geometric conditions relating the system matrices and the parameter van'ation matrices are satisfied.
π SIMILAR VOLUMES
A nece.s,sary and suJficient condition reveals that obserL, ers jor discrete time linear multivariable systems can be designed to reconstruct linear functions of the state in spite of parameter variations.
In this paper we present an adaptive output feedback controller for feedback linearizable non-linear systems. It employs a high-gain observer with estimate saturation which is crucial in achieving semiglobal asymptotic stabilization to the origin and, if the regressor vector is persistently exciting
The optimal feedback law, which is the solution of quasi-linear equations in partial derivatives, provides a promising new approach in non-linear control theory.