Alntmet--The sampled-data Hยฎ optimal control problem is studied for time-varying systems. The problem consists of finding all sampled-data controllers with a piece-wise constant control signal for which the L2-induced norm from the continuous-time disturbance to the continuous-time output is less th
Stationary optimal control of stochastically sampled continuous-time systems
โ Scribed by W.L. de Koning
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 329 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
This paper solves the digital stationary optimal control problem in the case of linear stochastic continuoustime systems, long-term average integral criteria, complete state information and where the sampling periods are independent identically distributed stochastic variables, using the notions of mean-square stabilizability and mean-square detectability.
It is shown that stochastic sampling may increase or restore stabilizability and may decrease or destroy stability if the presence of stochastic sampling is not taken into account in the determination of the optimal controller.
๐ SIMILAR VOLUMES
Frequency domain functions are developed which play an analogous role in sampled data control as do the common sensitivity and complementary sensitivity functions in traditional control.
## Abstract The relationship between the spectral radius and the decay rate for discrete stochastic systems is investigated. Several equivalent conditions are obtained, which guarantee a specified decay rate of the closedโloop systems. Based on the relationship, this paper provides a design method