MATRIX-THEORETIC CONDITIONS FOR THE REALIZABILITY OF SLIDING MANIFOLDS

摘要

Systems of the type s = K sga(s), s ∈ R~m, where sgn(·) is the vector sign function, 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 sufficient stability conditions for second order systems.