Structural stability of linear dynamically varying (LDV) controllers
نویسندگان
چکیده
منابع مشابه
Structural stability of linear dynamically varying (LDV) controllers
LDV systems are linear systems with parameters varying according to a nonlinear dynamical system. This paper examines the robust stability of such systems in the face of perturbations of the nonlinear system. Three classes of perturbations are examined: di3erentiable functions, Lipschitz continuous functions and continuous functions. It is found that in the 6rst two cases the system remains sta...
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Linear Dynamically Varying (LDV) systems are a subset of Linear Parameter Varying (LPV) systems characterized by parameters that are dynamically modeled. An LDV system is, in most cases of practical interest, a family of linearized approximations of a nonlinear dynamical system indexed by the point around which the system is linearized. Special attention is devoted to nonlinear dynamical system...
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The connection between linear dynamically varying (LDV) systems and jump linear systems is explored. LDV systems have been shown to be useful in controlling systems with "complicated dynamics". Some systems with complicated dynamics, for example Axiom A systems, admit Markov partitions and can be described, up to finite resolution, by a Markov chain. In this case, the control system for these s...
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The connection between linear dynamically varying (LDV) systems and jump linear (JL) systems is explored. LDV systems have been used to model the error in nonlinear tracking problems. Some nonlinear systems, for example Axiom A systems, admit Markov partitions and their dynamics can be quantized as Markov chains. In this case the tracking error can be approximated by a JL system. It is shown th...
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Reliable and eecient techniques are now available to synthesize gain-scheduled controllers. Such techniques take advantage of Linear Matrix Inequality (LMI) characterizations of gain-scheduled controllers and provide a global and systematic treatment of the gain-scheduling problem. This paper examines how such controller structures, designed in continuous time, can be discretized and implemente...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2001
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(01)00140-2