The problem of designing robust active control systems is addressed in this paper. A variety of active control design problems are formulated as semide"nite programming (SDP) problems. An SDP problem is a convex optimization problem, consisting of a linear objective function subject to linear matrix
Stability robustness characterization and related issues for control systems design
โ Scribed by Yanlin Li; E.Bruce Lee
- Book ID
- 102992056
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 538 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
โฆ Synopsis
First, we
show that the H ยฎ norm of a sensitivity function matrix for a stable multivariable closed loop system indicates its stability robustness in the sense of gain margin and phase margin. Second, we apply this result to the problem of synthesizing a robust stabilizing controller. The emphasis of the analysis is LQ feedback system design. The goal is to design an observer based controller such that the resulting closed loop system has the robustness property that an LQ state feedback system has. This is achievable if the sensitivity function of the observer based control system is very close to that of the state feedback system. The closeness is measured by the ~ norm and classical/T ~ optimization techniques are used for design. *
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This paper analyzes the stability and robustness of uncertain nonlinear systems and shows that the analysis results provide an e cient technique for the design of fuzzy controllers. Based on a fuzzy plant model describing an uncertain nonlinear plant, this design involves the derivation of a stabili