The paper investigates two methods to calculate recoverable sets for continuous-time, linear time-invariant systems subjected to input and state constraints. A state is said to be recoverable if it can be driven to the equilibrium point while respecting the constraints. The recoverable set is the se
Fast reference governors for systems with state and control constraints and disturbance inputs
โ Scribed by Elmer G. Gilbert; Ilya Kolmanovsky
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 247 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1049-8923
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โฆ Synopsis
Reference governors are applied to closed-loop tracking systems that are linear and discrete time and have constraints on state and control variables. Earlier results are extended in signi"cant ways. Disturbance inputs, whose values belong to a speci"ed set, are allowed and a general class of reference governors is introduced. Each governor in the class guarantees constraint satisfaction for all reference and disturbance inputs. Moreover, if the reference input is ultimately con"ned to a neighbourhood of a constraint-admissible constant input, the eventual action of the reference governor reduces to a unit delay. By appropriately selecting reference governors from the allowed class it is possible to simplify signi"cantly their implementation. The increase in on-line speed of operation overcomes prior limits on the practical application of reference governors. Algorithmic procedures are described which facilitate design of the reference governors. Several examples are presented. They illustrate the design process and the excellence of response to large inputs.
๐ SIMILAR VOLUMES
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