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Output feedback control of discrete-time Lur'e systems through FIR Zames-Falb multipliers
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Bertolin, Ariádne L.J. Oliveira, Ricardo C.L.F. Valmorbida, Giorgio Peres, Pedro L.D. |
| Copyright Year | 2023 |
| Abstract | This paper is concerned with output feedback control of discrete-time Lur'e systems with slope bounded nonlinearities that can be non-odd. Using FIR (Finite Impulse Response) Zames-Falb multipliers of any given order, stability conditions based on positive realness are proposed in terms of linear matrix inequalities and linear constraints that assure the ℓ 1 norm bound for the multiplier. Importantly, the proposed approach does not require line searches. Applying a relaxation on the stability and exploiting the fact that the matrices of the system appear affinely in the conditions, an iterative method is constructed to search for the FIR Zames-Falb multiplier certifying stability. An extension to cope with the design of a control law is also presented, dealing with state or output feedback gains that may include a term proportional to the output of the nonlinear block. Numerical examples illustrate the advantages of the proposed approach, that can be numerically more efficient than other techniques from the literature. |
| Related Links | https://hal.science/hal-04363973/file/1-s2.0-S2405896323006031-main.pdf |
| Conference Proceedings | 22nd World Congress of the International Federation of Automatic Control (IFAC 2023) |
| DOI | 10.1016/j.ifacol.2023.10.252 |
| Issue Number | 2 |
| Volume Number | 56 |
| Language | English |
| Publisher | HAL CCSD |
| Publisher Date | 2023-01-01 |
| Access Restriction | Open |
| Subject Keyword | Discrete-time Lur'e systems Linear matrix inequalities Discrete-time Lur'e systems Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Discrete-time Lur'e systems FIR Zames-Falb multipliers Absolute stability Output-feedback control Linear matrix inequalities Output-feedback control Linear matrix inequalities FIR Zames-Falb multipliers Absolute stability Engineering Sciences [physics] Automatic |
| Content Type | Text |
| Resource Type | Conference Proceedings |
| Subject | Physics and Astronomy |
