New iterative algorithm for algebraic Riccati equation related to H_∞ control problem of singularly perturbed systems
IEEE transactions on automatic control Volume 46 Issue 10
Page 1659-1666
published_at 2001-10
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| File | |
| Title ( eng ) |
New iterative algorithm for algebraic Riccati equation related to H_∞ control problem of singularly perturbed systems
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| Creator |
Xu Hua
Mizukami Koichi
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| Source Title |
IEEE transactions on automatic control
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| Volume | 46 |
| Issue | 10 |
| Start Page | 1659 |
| End Page | 1666 |
| Abstract |
In this note, we present the solution to the algebraic Riccati equation (ARE) with indefinite sign quadratic term related to the H_∞ control problem for singularly perturbed system by means of a Kleinman's type algorithm. The resulting algorithm is very efficient from the numerical point of view because the ARE is solvable even if the quadratic term has an indefinite sign. Moreover, the resulting iterative algorithm is quadratically convergent. We also present a new algorithm for solving the generalized algebraic Lyapunov equation (GALE) on the basis of the fixed point algorithm
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| Keywords |
fixed point algorithm
H_∞ control
Kleinman algorithm
singularly perturbed systems
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| NDC |
Electrical engineering [ 540 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
IEEE
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| Date of Issued | 2001-10 |
| Rights |
Copyright (c) 2001 IEEE
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0018-9286
[DOI] 10.1109/9.956068
[NCID] AA00667671
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