Passivity‐based adaptive output tracking control for switched nonlinear systems with uncertain parameters

Sun, Yuangong; Zhao, Jun

doi:10.1002/acs.2835

Cited by 5 publications

(5 citation statements)

References 38 publications

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“…The passivity of switched nonlinear systems is also worth studing like non-switched systems. There have been many results on passivity of switched nonlinear systems reported [21][22][23]. In [23], passivity was applicated to solve the output tracking problem of switched nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Incremental Passivity and Output Tracking Control for Switched Nonlinear Systems

Liu

Pang

2020

IEEE Access

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This paper studies the finite-time incremental passivity of switched nonlinear systems. Then, the established theory is applied to solve the finite-time output tracking control problem of switched nonlinear systems. First, finite-time incremental passivity is firstly defined for switched nonlinear systems. Each subsystem is finite-time incrementally passive during its active time interval. Unlike incremental passivity, the state trajectories of finite-time incrementally passive system with no external supplied energy can converge to each other in finite time. Second, the criterion of finite-time incremental passivity is established. Third, finite-time incremental passivity is shown to be preserved under the feedback interconnection. A composite switching law design method is provided. Under this switching law, the interconnected switched systems can switch asynchronously. Finally, the finite-time output tracking control problem was solved by the established finite-time incremental passivity theory of the switched nonlinear systems, even if the finite-time output tracking control of individual subsytem is not solvable. The effectiveness of the proposed method is verified by an example. INDEX TERMS Switched nonlinear systems, Finite-time output tracking control, Finite-time incremental passivity.

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Section: Introductionmentioning

confidence: 99%

Finite-Time Incremental Passivity and Output Tracking Control for Switched Nonlinear Systems

Liu

Pang

2020

IEEE Access

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“…1 Such systems consist of a finite number of subsystems and a rule orchestrating the switching among them. Over the past few decades, plentiful worthy findings of switched systems have been derived, [2][3][4][5][6][7][8][9][10][11] where the Lyapunov function and its generalizations of various types are effective methods. As we all known, the existence of a common Lyapunov function (CLF) is enough to ensure the stability of switched systems under arbitrary switching.…”

Section: Introductionmentioning

confidence: 99%

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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Summary This article addresses the passivity analysis and asynchronous feedback passification problems for a class of discrete‐time switched systems with dwell time constraint. By exploiting dwell time‐dependent storage functions, a state‐dependent switching strategy obeying a dwell time constraint is constructed, and the solvability conditions for asynchronous feedback passification are developed in the form of linear matrix inequalities (LMIs). Moreover, the dwell time‐dependent asynchronous passive controllers are formulated simultaneously. It has been shown that the derived results are also applicable to the studies of passivity and synchronous feedback passification for discrete‐time switched systems under the combined switching strategy. Finally, a three‐tank system as a practical example is also provided to illustrate the applicability and effectiveness of our theoretic findings.

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“…Passivity is an important system property of switched systems as nonswitched systems. So far, many scholars have studied the passivity of switched nonlinear systems [31][32][33][34][35][36][37][38]. For switched systems, [31] defined passivity using a common storage function method.…”

Section: Introductionmentioning

confidence: 99%

“…In [35], control method was adopted to deal with uncertain switched nonlinear systems with external disturbance. For switched nonlinear systems with parameter uncertainties, the adaptive passification method was applied to solve the output tracking and stabilization problems in [36,37]. Nevertheless, there are few results on passivity of the switched system with unknown nonlinear functions.…”

Section: Introductionmentioning

confidence: 99%

Neural Networks-Based Adaptive Exponential Quasi-Passification and Output Tracking Control for Uncertain Switched Nonlinear Systems

2020

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In this paper, we mainly study the adaptive exponential quasi-passivity and adaptive tracking control of lower triangular uncertain switched nonlinear systems, even though the adaptive output tracking control problem of individual subsystem is unsolvable. First, the exponential quasipassivity concept is proposed to describe the energy changing of the overall switched nonlinear systems without the exponential quasi-passivity property of all the subsystems. Then, for switched nonlinear systems, the semiglobally uniformly ultimate boundedness is achieved by using exponential quasipassivity. Second, this result is applied to solve adaptive tracking control problem uncertain switched nonlinear systems in lower-triangular form. A new adaptive tracking control technique is developed by combining quasi-passification methods with adaptive backstepping techniques. The unknown nonlinear functions are approximated by the radial basis function neural networks. In contrast to the existing results, the multiple storage functions method reduces the conservativeness caused by a common Lyapunov function for all subsystems. Finally, the effectiveness of the proposed method is verified by an example. INDEX TERMS Switched nonlinear systems, Neural networks, Output tracking control, Exponential quasi-passification.

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Passivity‐based adaptive output tracking control for switched nonlinear systems with uncertain parameters

Cited by 5 publications

References 38 publications

Finite-Time Incremental Passivity and Output Tracking Control for Switched Nonlinear Systems

Finite-Time Incremental Passivity and Output Tracking Control for Switched Nonlinear Systems

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Neural Networks-Based Adaptive Exponential Quasi-Passification and Output Tracking Control for Uncertain Switched Nonlinear Systems

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