A modified VS feedback is suggested for robust stabilization of continuous‐time dynamical systems in the presence of parametric and external time‐varying disturbances satisfying the ‘matching conditions’. The main feature of the proposed algorithm is that it contains additional switching ‘integral’ terms which track the unknown disturbances and make it possible to achieve the typical VSS robustness by using switching terms in the control law with arbitrarily small amplitude. This result can be achieved only if the derivatives of the disturbances are bounded.
Absfraet-In the context of robust control theory and applications, the well-known variable structure approach and the so-called binary control approach offer both interesting properties and disadvantages. In this note, the idea of combining the two techniques in order to define a cascade structure exploiting the desirable features of both approaches is discussed, and its natural applicability to the control of a nonlinear electrical actuator is shown by a simulation case.
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