Smooth output feedback stabilization for a class of high-order switched nonlinear systems

Intl J Robust & Nonlinear

Park

2020

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Summary In this paper, globally asymptotical stabilization problem for a class of planar switched nonlinear systems with an output constraint via smooth output feedback is investigated. To prevent output constraint violation, a common tangent‐type barrier Lyapunov function (tan‐BLF) is developed. Adding a power integrator approach (APIA) is revamped to systematically design state‐feedback stabilizing control laws incorporating the common tan‐BLF. Then, based on the designed state‐feedback controllers and a constructed common nonlinear observer, smooth output‐feedback controllers, which can make the system output meet the predefined constraint during operation, are proposed to deal with the globally asymptotical stabilization problem of planar switched nonlinear systems under arbitrary switchings. A numerical example is employed to verify the proposed method.

Section: Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Output‐feedback stabilization for planar output‐constrained switched nonlinear systems

Intl J Robust & Nonlinear

Park

2020

Self Cite

“…At present, average dwell time (ADT) method is mostly used in the researches of switched systems . The minimum of admissible ADT is determined by two parameters unrelated to the mode . In ADT method, switching signals occur during the running time of subsystems, and the design of common parameters is conservative to some extent.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control

Intl J Robust & Nonlinear

Zhang

Yang

et al. 2020

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In the framework of sampled-data control, finite-time boundedness (FTB) of switched systems with time-varying delays is investigated. Sufficient conditions for FTB of switched systems with time-varying delays via sampled-data control are proposed. Moreover, considering the relationship between the sampling period and the mode-dependent average dwell time, switching signals are designed. In addition, finite-time weighted L 2 -gain (FTW-L 2 -gain) of switched systems with time-varying delays is proposed to measure their disturbance tolerance capacity within a finite-time interval. Multiple Lyapunov-Krasovskii functionals are applied to complete subsequent proofs in detail. Simulation results are exemplified to verify the proposed method. K E Y W O R D S finite-time boundedness, multiple Lyapunov-Krasovskii functionals, sampled-data control, switched systems1 Int J Robust Nonlinear Control. 2020;30:2953-2976. wileyonlinelibrary.com/journal/rnc © 2020 John Wiley & Sons, Ltd. 2953 2954 LIN et al.dynamics, time-varying delays, and exogenous disturbances in switched systems, research on FTB of switched systems with time-varying delays is not a trivial work. With the development of digital technologies and computers, sampled-data controllers are widely used in practice because of advantages of not resulting in degradation of the closed-loop performance and saving the data transmission amount. 21 Based on previous researches, FTB of switched systems with time-varying delays from sampled-data control perspective is to be further investigated to meet the requirements of practical applications. To make resultant closed-loop systems FTB, corresponding controller is usually designed to match with each subsystem. However, when sampled-data controllers are used for switched systems, the active switched subsystem and the matched sampled-data controller may produce mismatched, resulting in inconsistency between the plant mode and the controller mode. 22 This kind of mode mismatching, which is an important subject in the research field of switched systems, 23-27 will produce complex state trajectories and increase complexity of FTB analysis. Therefore, in this note, to implement FTB of switched system with time-varying delays via sampled-data control, it is necessary to conduct in-depth study on the issue about asynchronous switching caused by sampled-data control.It is well known that switching signals have an important impact on FTB of switched systems. [28][29][30] At present, average dwell time (ADT) method is mostly used in the researches of switched systems. [31][32][33][34] The minimum of admissible ADT is determined by two parameters unrelated to the mode. 35,36 In ADT method, switching signals occur during the running time of subsystems, and the design of common parameters is conservative to some extent. The mode-dependent ADT (MDADT) method discussed in References 37 and 38-40 combines switching conditions with certain control gains related constraints to avoid the conservatism of the ADT method. Therefore, in this articl...

Finite‐time stabilization of output‐constrained planar switched systems via output feedback

Wei

Huang

Asian Journal of Control

et al. 2022

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Finite-time stabilization (FTS) problem of output-constrained planar switched systems via output feedback is investigated in this paper. State feedback control laws are constructed in a systematic way by combining the revamped adding a power integrator technique (APIT) with the elaborately designed logarithm-type barrier Lyapunov function (BLF). By merging the constructed variable-gain switched observers, finite-time output-feedback stabilization, then, is achieved with the output constraint meets too. At the end, simulations are presented to show the effectiveness of the proposed method.