Temporal and One-Step Stabilizability and Detectability of Time-Varying Discrete-Time Linear Systems

Abstract : Time-varying discrete-time linear systems may be temporarily uncontrollable and unreconstructable. This is vital knowledge to both control engineers and system scientists. Describing and detecting the temporal loss of controllability and reconstructability requires considering discrete-time systems with variable dimensions and the j-step, k-step Kalman decomposition. In this note for linear discrete-time systems with variable dimensions measures of temporal and one-step stabilizability and detectability are developed. These measures indicate to what extent the temporal loss of controllability and reconstructability may lead to temporal instability of the closed loop system when designing a static state or dynamic output feedback controller. The measures are calculated by solving specific linear quadratic cheap control problems.
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Communication dans un congrès
Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.306-317, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_31〉
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L. Willigenburg, Willem Koning. Temporal and One-Step Stabilizability and Detectability of Time-Varying Discrete-Time Linear Systems. Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.306-317, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_31〉. 〈hal-01347551〉

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