- Title
- Stability analysis of switched systems with 'mixed'-negative imaginary property
- Creator
- Sanjeevini, Sneha; Bhikkaji, Bharath; Moheimani, S. O. R.
- Relation
- 19th World Congress of the International Federation of Automatic Control (IFAC 2014). Proceedings of the 19th IFAC World Congress, 2014 (Cape Town, South Africa 24-29 August, 2014) p. 6412-6417
- Publisher Link
- http://dx.doi.org/10.3182/20140824-6-ZA-1003.02188
- Publisher
- International Federation of Automatic Control (IFAC)
- Resource Type
- conference paper
- Date
- 2014
- Description
- This paper discusses the stability of feedback systems in which both plant and controller are switched. Switched systems considered here have all their subsystems satisfying the 'mixed'-negative imaginary property. A definition for dissipativity (for switched systems) is proposed, and dissipative switched systems are shown to be stable (under certain conditions). Switched systems with 'mixed'-negative imaginary property are shown to be dissipative and conditions for stability are derived. As an illustration of the results, a switched controller is designed for a nanopositioning stage, which has a 'mixed'-negative imaginary frequency response function. Simulations show that the closed loop is stable and the designed controller damps the resonances satisfactorily.
- Subject
- robust control; stability of nonlinear systems; switching stability and control
- Identifier
- http://hdl.handle.net/1959.13/1297054
- Identifier
- uon:19364
- Identifier
- ISBN:9783902823625
- Language
- eng
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