Abstract
The problem of designing a switching and control policy for regulating the state of a switched linear system to zero while minimizing a quadratic cost appears in numerous applications. However, obtaining the optimal policy is in general computationally intractable. Here, we propose a class of suboptimal policies that exploit information, in terms of upper or lower bounds, on the optimal cost. We analyze the performance of these novel policies, obtaining new bounds on the optimal cost which are tighter than the initial ones. The usefulness of these policies and performance bounds is illustrated in the context of resource-Aware control.
Original language | English |
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Article number | 7588142 |
Pages (from-to) | 2675-2688 |
Number of pages | 14 |
Journal | IEEE Transactions on Automatic Control |
Volume | 62 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2017 |
Keywords
- approximation algorithms
- dynamic programming
- linear quadratic regulator
- Optimal control
- switched systems