Convex conditions, proposed as a feasibility test of a set of linear matrix inequalities (LMIs), are given for the design of a partially parameter dependent dynamic output feedback controller for a class of discrete t...
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Convex conditions for stability analysis and control synthesis for discrete-time fuzzy systems with delayed state are proposed in this paper. The conditions are obtained by considering a parameter dependent Lyapunov-K...
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ISBN:
(纸本)9781424474264
Convex conditions for stability analysis and control synthesis for discrete-time fuzzy systems with delayed state are proposed in this paper. The conditions are obtained by considering a parameter dependent Lyapunov-Krasovskii functional, slack matrix variables and, in the synthesis case, an instrumental variable. In all cases, the conditions are formulated as an LMI (linear matrix inequality) feasibility test, that can be efficiently solved in polynomial time by specialized numerical solvers. It is shown that the proposed conditions encompass quadratic stability based formulations. Moreover, in the stability analysis case, conditions published recently in the literature can be recovered as a particular case from those proposed in this paper. Convex conditions for controller synthesis are proposed using an instrumental variable, yielding complementary results when compared with other conditions recently published in the literature. Numerical examples are presented to illustrate the efficiency of the proposed conditions. Comparisons are made with other conditions from the literature.
The design of a distributed-compensation (DC) output feedback controller for discrete-time fuzzy systems with time-varying delay is proposed by the formulation of convex optimization problems, formulated as a set of l...
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ISBN:
(纸本)9781424477456
The design of a distributed-compensation (DC) output feedback controller for discrete-time fuzzy systems with time-varying delay is proposed by the formulation of convex optimization problems, formulated as a set of linear matrix inequalities (LMIs). At the exception of controller matrix D, all other are designed depending on the submodes of the fuzzy system and assembled together by fuzzy inference rules. The novelty of this proposal is that the controller is composed by a classical part, feeding-back the system output, and another where the delayed output of the system is dynamically feedback, whenever the delay is known. Different from other approaches found in the literature, it is used a parameter dependent Lyapunov-Krasovskii function candidate and extra matrices to reduce the conservatism of the proposed approach. Numerical experiments are presented showing the effectiveness of the proposal.
Convex conditions, proposed as a feasibility test of a set of linear matrix inequalities (LMIs), are given for the design of a partially parameter dependent dynamic output feedback controller for a class of discrete t...
详细信息
ISBN:
(纸本)9781424474264
Convex conditions, proposed as a feasibility test of a set of linear matrix inequalities (LMIs), are given for the design of a partially parameter dependent dynamic output feedback controller for a class of discrete time systems with delayed state. This class concerns the systems with time-varying delay in the state and time varying parameters, both assumed to be available on line. The controller is composed by a classical part, feeding-back the system output and another one where the delayed output of the system is feedback. This last part can be avoided in case of inaccessible delay value, resulting in a more classical control design. Different from other approaches found in the literature, it is used a parameter dependent Lyapunov-Krasovskii functional candidate and a slack matrix variable to reduce the conservatism of the proposed approach. The resulting parameter dependent controller can be obtained on line as a convex combination of some 'vertex' controllers. Numerical examples are presented to illustrated the effectiveness of the proposal.
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