A geometric algebra approach to invariance control in sliding regimes for switched systems (Q6039691)

Sliding mode control systems, affine in the binary-valued control law, are considered. Known results are presented by using in a systematic way a geometric algebra framework, as follows: necessary and sufficient conditions for the existence of a sliding regime, a characterization of the equivalent control, and the invariance control approach. Within this framework it is shown that the twisting and super twisting algorithms may be obtained as a limiting case of first order regimes. Examples are discussed in detail.