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Matrix-theoretic conditions for the realizability of sliding manifolds

✍ Scribed by L. Hsu; E. Kaszkurewicz; A. Bhaya

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
117 KB
Volume
40
Category
Article
ISSN
0167-6911

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✦ Synopsis

Systems of the type αΉ‘ = K sgn(s), s ∈ R m , where sgn(β€’) is the vector sign function, usually determine the realizability of sliding modes in control systems with high-frequency gain K. A new condition on K is established for the global stability of this system using a nonsmooth Liapunov function. This condition is used to establish necessary and su cient stability conditions for second-order systems.

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