Abstract
An optimization-based approach to linear feedback control system design uses the H2 norm, or energy of the impulse response, to quantify closed-loop performance. In this entry, an overview of state-space methods for solving H2 optimal control problems via Riccati equations and matrix inequalities is presented in a continuous-time setting. Both regular and singular problems are considered. Connections to so- called LQR and LQG control problems are also described.
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Chen, B. (2020). H2 Optimal Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_204-2
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-2
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Optimal Control- Published:
- 03 December 2019
DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-2
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Optimal Control- Published:
- 13 March 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-1