NDLI: Robust sampling-based switching design for piecewise affine systems with application to DC

Content Provider	IET Digital Library
Author	Wang, Tao Liu, Yuwen Wang, Xijun Li, Jikun
Abstract	The problem of designing the switching rules for piecewise affine systems which satisfy dwell time constraints is studied. With a proposed sampling-based approach which is different from existing traditional switching laws, the system can be updated and switched only at sampling instants. First, a sufficient condition for stability of piecewise linear affine systems converging to an invariant set is developed in the framework of the sampling-based switching, for which the lengths between successive sampling instants are assumed to be fixed. The corresponding sampled-based switching rules are obtained by solving a family of the linear matrix inequalities. Subsequently, these sampling lengths are extended from a fixed value to a certain interval and robust switching rules are obtained. Systems using these switching rules have the insensitivity to sampling period perturbation. Finally, an application to a DC–DC converter is provided to demonstrate the effectiveness of the proposed method.
Starting Page	1404
Ending Page	1412
Page Count	9
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 9, Jun (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5611
Journal	IET Control Theory & Applications
Publisher Date	2019-03-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Closed Loop System Continuous Time System Control of Electric Power System Control System Analysis Control System Synthesis Corresponding Sampled-based Switching Rules DC-DC Power Converter DC–DC Converter Discrete Control System Discrete Time System Dwell Time Constraint Linear Algebra Linear Matrix Inequalities Linear System Lyapunov Method Numerical Analysis Piecewise Affine System Piecewise Linear Affine System Piecewise Linear Technique Robust Control Robust Sampling-based Switching Design Robust Switching Rules Sampled Data System Sampling Instants Sampling Lengths Sampling Period Perturbation Stability in Control Theory Sufficient Condition Synthesis Method Time Varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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