Formal non-fragile stability verification of digital control systems with uncertainty
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Universidade Federal de Minas Gerais
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A verification methodology is described and evaluated to formally determine uncertain linear systems stability in digital controllers with considerations to the implementation aspects. In particular, this methodology is combined with the digital-system verifier (DSVerifier), which is a verification tool that employs Bounded Model Checking based on Satisfiability Modulo Theories to check the stability of digital control systems with uncertainty. DSVerifier determines the control system stability, considering all the plant interval variation set, together with the Finite Word-length (FWL) effects in the digital controller implementation; DSVerifier checks the robust non-fragile stability of a given closed-loop system. The proposed methodology and respective tool are evaluated considering non-fragile control examples from literature. Experimental results show that the approach used in this study is able to foresee fragility problems in robust controllers, which could be overlooked by other existing approaches due to underestimating of FWL effects.
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Controle automático, Controle preditivo
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Formal Methods, Stability analysis , Robustness , Uncertainty , Computational modeling , Model checking , Control systems , Transfer functions, Controle Não Frágil, Finite word-length effects, Inteligência Computacional, Controle de Processos, Formal methods , model checking , finite word-length effects , controller fragility , robustness, Control System , Digital Technologies , Digital Control , Verification System , Formal Verification , Digital Control System , Stability Verification , Stability Of System , Linear System , Closed-loop System , Robust Control , Methodological Tools , Uncertain Systems , Robust Stability , Model Checking , Stability Of Control System , Verification Tool , Sampling Time , Time Step , Model Plant , Limit Cycle Oscillations , Poles And Zeros , Formal Methods , Closed-loop Control System , Characteristic Polynomial , Transfer Function , Hybrid System , State Machine , Discrete System
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https://ieeexplore.ieee.org/document/7547378