The robust memoryless state feedback H ∞ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H ∞ control problem for standard state-space uncertain time-delay
Robust H∞ control of discrete systems with uncertain parameters and unknown delays
✍ Scribed by Magdi S. Mahmoud
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 129 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
In this paper, we address the problems of robust H performance analysis and control synthesis for a class of discrete-time systems with norm-bounded parameter uncertainty and unknown constant state delay. Through "nite-dimensional algebraic Riccati equations, we provide a necessary and su$cient condition for designing a memoryless state-feedback controller which stabilizes the discrete time-delay system under consideration and guarantees an H -norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown delays. An example is worked out to illustrate the developed theory.
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