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Technical Stability of Forced Automatic-Control Variable-Structure Systems

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Abstract

Sufficient conditions for technical stability of functional states of controlled systems with a variable structure are derived. Allowance is made for external perturbations acting on the given process for all possible initial distributions from the set of the process' initial states predetermined in a quadratic measure. The differential equations characterizing the system under consideration include coefficients that vary stepwise with stepwise change in the parameters of the discontinuous control function. It is shown that the conditions of technical stability obtained do not necessarily depend on the existence of sliding modes in variable-structure systems. The eigenvalues of the quadratic forms of the corresponding Lyapunov functions are found to relate to the criteria of technical stability of automatic-control variable-structure processes

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  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    K. S. Matviichuk

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Matviichuk, K.S. Technical Stability of Forced Automatic-Control Variable-Structure Systems. International Applied Mechanics 37, 393–406 (2001). https://doi.org/10.1023/A:1011388000104

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