MATRIX-THEORETIC CONDITIONS FOR THEREALIZABILITY OF SLIDING MANIFOLDS

摘要

Systems of the type s = K sgn(s), s ∈ R~m, where sgn(? is the vector sign function, determine thernrealizability of sliding modes in control systems with high frequency gain K. A new condition on K isrnestablished for the global stability of this system using a nonsmooth Liapunov function. Thisrncondition is used to establish necessary and sufficient stability conditions for second order systems.