Robust performance of systems with structured uncertainties in state space
โ Scribed by Kemin Zhou; Pramod P. Khargonekar; Jakob Stoustrup; Hans Henrik Niemann
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 717 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper considers robust performance analysis and state feedback design for systems with time-varying parameter uncertainties. The notion of a strongly robust % performance criterion is introduced, and its applications in robust performance analysis and synthesis for nominally linear systems with time-varying uncertainties are discussed and compared with the constant scaled small gain criterion. It is shown that most robust performance analysis and synthesis problems under this strongly robust % performance criterion can be transformed into linear matrix inequality problems, and can be solved through finite-dimensional convex programming.
The results are in general less conservative than those using small gain type criteria.
๐ SIMILAR VOLUMES
A suficient condition for the robust stability of systems with structured uncertainty is derived. At the same time, the upper bounds measured by H-injnity norm for the sensitivity function and the closed-loop transfer function of the system are given. This offers a way to deal with the robust stabil
This paper analyses robust performance measures for linear time-invariant systems with norm-bounded time-varying structured uncertainty. We consider two robust performance measures. One is the worst-case peak value of the error signal in response to the disturbance with a known energy. The other is
A very promising method is proposed to solve the stability problem of steel space structures with system parametric uncertainties. Generalized random variables are presented to characterize such large complex space structures while reducing the number of variables in the structural analysis. The pro
Quantitative bounds for the nonlinear perturbation of linear time-invariant continuous-time systems simulated using two-step matrix integrators are obtained. These bounds ensure that systems being simulated using two-step integrators remain stable under such perturbations. The effJ;?ct of the sampl