Portal de Periódicos da CAPES

Contractible controller design and optimal control with state and input inclusion

1990; Elsevier BV; Volume: 26; Issue: 3 Linguagem: Inglês

10.1016/0005-1098(90)90031-c

1873-2836

Altuğ İftar, Ümi̇t Özgüner,

Stability and Control of Uncertain Systems

A new inclusion concept, which involves both state and input expansion, is introduced. It is shown that, with the approach undertaken here, any control law designed in the expanded spaces is always contractible to the original spaces. The inclusion of the cost functions is also discussed, and necessary and sufficient conditions are derived. It is shown that, unlike the case when the two input spaces are identical, the inclusion conditions must, in general, depend on the control laws. However, certain sufficient conditions, which do not involve final control laws, can be found if the inclusion is taken with respect to the optimal control. Finally controller design with overlapping decompositions is discussed within the framework of the new inclusion concept and optimal control.