The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control
In this paper the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control is analysed. To date, the importance of the continuous-time generalised Riccati equation in the context of optimal control has not been understood. This...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
IEEE
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/18121 |
| Summary: | In this paper the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control is analysed. To date, the importance of the continuous-time generalised Riccati equation in the context of optimal control has not been understood. This note addresses this point. We show in particular that when the continuous-time (constrained) generalised Riccati equation admits a symmetric solution, the corresponding linear-quadratic (LQ) problem admits an impulse-free optimal control. |
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