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2019

System Level Synthesis with State and Input Constraints

Chen, Yuxiao, Anderson, James

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This paper addresses the problem of designing distributed controllers with state and input constraints in the System Level Synthesis (SLS) framework.

Using robust optimization, we show how state and actuation constraints can be incorporated into the SLS structure.
Moreover, we show that the dual variable associated with the constraint has the same sparsity pattern as the SLS parametrization, and therefore the computation distributes using a simple primal-dual algorithm.
We provide a stability analysis for SLS design with input saturation under the Internal Model Control (IMC) framework.

System Level Synthesis with State and Input Constraints · Around

Built on

Control of plants with input saturation nonlinearities
J. C. Doyle, R. S. Smith, and D. F. Enns · 1987
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Robust process control
M. Morari and E. Zafiriou · 1989
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Theory and computation of disturbance invariant sets for discrete-time linear systems
I. Kolmanovsky and E. G. Gilbert · 1998
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A characterization of convex problems in decentralized control
M. Rotkowitz and S. Lall · 2005
Earlier work this paper cites.
Parameterized robust control invariant sets for linear systems: Theoretical advances and computational remarks
S. V. Rakovic and M. Baric · 2010
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