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|Title:||Robust stability and stabilisation of uncertain switched linear discrete time-delay systems|
|Citation:||IET Control Theory and Applications, 2008; 2(7):606-614|
|Publisher:||Institution of Engineering and Technology|
|L. Zhang, P. Shi, M. Basin|
|Abstract:||The robust stability and stabilisation problems for switched linear discrete-time systems are studied. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee the stability of the uncertain system. Then, a control law is designed so that the resulting closed-loop system is stable for all admissible uncertainties. A linear matrix inequality approach, together with a cone complementary linearisation algorithm, is proposed to solve the above problems. A numerical example is given to show the potential applicability of the obtained theoretic results.|
|Rights:||© The Institution of Engineering and Technology 2008|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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