Differential Passivity based Dynamic Controllers.
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In this paper, we develop two passivity based control methods by using variances of passivity techniques; they are applicable for a class of systems for which the standard passivity based controllers may be difficult to design. As a preliminary step, we establish the connections among four relevant passivity concepts, namely differential, incremental, Krasovskii's and shifted passivity properties as follows: differential passivity $\implies$ incremental passivity $\implies$ shifted passivity, and differential passivity $\implies$ Krasovskii's passivity. Then, based on our observations, we provide two novel dynamic controllers based on Krasovskii's and shifted passivity properties.Keywords:
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This paper presents a solution of globally robust stabilization problem via passivity theory. Gain bounded unknown nonlinear perturbated function is considered. Sufficient and necessary conditions for a nonlinear system being robust passive are discussed. Using the conditions, it is shown that if a nonlinear system has relative degree {1, …, 1} and minimume phase property for all uncertain perturbations, then the nonlinear system can be globally robust stabilized by smooth state feedback control.
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The passivity control problem for continuous-time descriptor linear systems is studied. By using linear matrix inequalities and generalized inverses of matrices,a sufficient condition guaranteeing the passivity of openloop descriptor linear systems is investigated. Thereby,the passivity control problem via state feedback is solved.
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Matrix (chemical analysis)
Linear control systems
Linear matrix inequality
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This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonli
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In this paper, we deal with the problem of local passivity and local feedback passivation of smooth discrete-time nonlinear systems by considering their piecewise affine approximations. Sufficient conditions are derived for local passivity and local feedback passivity. These results are then extended to systems that operate over Gilbert-Elliott type communication channels. One of the main features of the approach presented in this paper is that it allows us to design the controller by solving a few linear matrix inequalities (LMIs) that are subject to certain constraints. As a special case, results for feedback passivity of piecewise affine systems over a lossy channel are also derived.
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Some important features and implications of dissipativity and passivity properties in the discrete‐time setting are collected in this paper. These properties are mainly referred to as the stability analysis (feedback stability systems and study of the zero dynamics), the relative degree, the feedback passivity property, and the preservation of passivity under feedback and parallel interconnections. Frequency‐domain characteristics are exploited to show some of these properties. The main contribution is the proposal of necessary and sufficient conditions in order to render a multiple‐input multiple‐output linear discrete‐time invariant system passive by means of a static‐state feedback and using the properties of the relative degree and zero dynamics of the system. A discrete‐time model for the DC‐to‐DC buck converter is used as an example to illustrate the passivation scheme proposed. In addition, dissipativity frequency‐domain properties are related to some feedback stability criteria.
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The classical time-energy definition of passivity is employed to generate workable passivity criteria for lumped networks which are characterizable by standard form state equations. In general, the demonstration of passivity entails the construction of a Liapunov-type function of the phase. Moreover, in the case of linear (time-variable) networks explicit stability conditions emerge.
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A new complex dynamical network model with output coupling is proposed. This paper is concerned with input passivity and output passivity of the proposed network model. By constructing new Lyapunov functionals, some sufficient conditions ensuring the input passivity and output passivity are obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed results.
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We revisit the definitions of passivity and feedbackpassivity in the context of general continuous-time singleinput, single output, systems which are jointly nonlinearin the states and the control input. Neccessary conditionsare given for the characterization of passive systems and extendthe well known Kalman-Yakubovich-Popov (KYP) conditions.Passivity concepts are used for studying the stabilizationproblem of general nonlinear systems. We extend the?Energy Shaping and Damping Injection? (ESDI) controllerdesign methodology to the studied class of systems. A semicanonicalform for nonlinear systems which is of the GeneralizedHamiltonian type, including dissipation terms, is alsoproposed. Passive and strictly passive systems are shown tobe easily characterized in terms of such a canonical form
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