Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 54, Issue 2, Pages 256-265Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2008.2010889
Keywords
Discretized Lyapunov-Krasovskii functionals; exponential stability; output feedback; sliding mode control; stabilizing delay; time delay systems
Funding
- European Commission
- Swedish Foundation for Strategic Research
- Swedish Research Council
- Automatic Control Department, KTH [SE-10044]
- EPSRC Platform [EPID029937/1]
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It is well known that for linear, uncertain systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilizable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.
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