Stability problem of a periodically varying system

Chouikha, Mohamed F.; Jendoubi, A.

doi:10.1080/00207729508929103

Cited by 2 publications

(1 citation statement)

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“…Because of the importance of periodic systems in applications, various problems have been investigated in the literature. For example, stability analysis and synthesis [3][4][5], pole assignment [6][7][8], and robust control [9,10].…”

Section: Introductionmentioning

confidence: 99%

Estimation and synthesis of reachable set for discrete-time periodic systems

Chen

Lam

2015

Optim. Control Appl. Meth.

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SUMMARYThis paper is concerned with the problems of reachable set estimation and synthesis for discrete-time periodic systems under bounded peak disturbances. For the reachable set estimation problem, the lifting approach and the pseudo-periodic Lyapunov function approach are utilized to determine the bounding ellipsoids for the reachable set. By using the lifting approach, the periodic system is transformed into several time-invariant systems; then, the bounding ellipsoids are determined through the transformed time-invariant systems. By applying the pseudo-periodic Lyapunov function approach, the bounding ellipsoids are determined through the original periodic system directly. Genetic algorithm is adopted in the pseudo-periodic Lyapunov function approach to search for the optimal value of the decision variables. Moreover, based on the reachable set estimation results, state-feedback controllers are designed for manipulating the reachable set. Finally, numerical examples are presented to verify the effectiveness of the theoretical findings. Copyright

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