Abstract
Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 252-257 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| State | Published - Dec 1 1988 |
| Event | Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA Duration: Dec 7 1988 → Dec 9 1988 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization
Cite this
On problems exhibiting a dual role of control. / Bansal, Rajesh; Basar, Tamer.
In: Proceedings of the IEEE Conference on Decision and Control, 01.12.1988, p. 252-257.Research output: Contribution to journal › Conference article
}
TY - JOUR
T1 - On problems exhibiting a dual role of control
AU - Bansal, Rajesh
AU - Basar, Tamer
PY - 1988/12/1
Y1 - 1988/12/1
N2 - Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.
AB - Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.
UR - http://www.scopus.com/inward/record.url?scp=0024178525&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0024178525&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:0024178525
SP - 252
EP - 257
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
SN - 0191-2216
ER -