@article{duan_wu_2016, title={New results on switched linear systems with actuator saturation}, volume={47}, ISSN={["1464-5319"]}, DOI={10.1080/00207721.2014.911386}, abstractNote={This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimise the disturbance attenuation level defined by the regional gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities, and can be solved by numerical search coupled with linear matrix inequality optimisation. Compared to the previous method based on polytopic differential inclusion, the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify the effectiveness of the proposed approach.}, number={5}, journal={INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, author={Duan, Chang and Wu, Fen}, year={2016}, month={Apr}, pages={1008–1020} } @article{duan_wu_2014, title={Analysis and control of switched linear systems via dwell-time min-switching}, volume={70}, ISSN={["1872-7956"]}, DOI={10.1016/j.sysconle.2014.05.004}, abstractNote={This paper addresses analysis and switching control problems of switched linear systems. To this end, a mixed time-driven and state-dependent switching strategy is proposed. It guarantees an average dwell time even when all subsystems are unstable. The switching rule and its associated switching output feedback controllers are designed to stabilize the switched system and satisfy a weighted L2 gain performance. The proposed analysis and switching control approach could refrain frequent switches commonly observed in min-switching based designs. The effectiveness of the proposed approach has been illustrated through a spherical inverted pendulum example.}, journal={SYSTEMS & CONTROL LETTERS}, author={Duan, Chang and Wu, Fen}, year={2014}, month={Aug}, pages={8–16} } @article{duan_wu_2014, title={Analysis and control of switched linear systems via modified Lyapunov-Metzler inequalities}, volume={24}, ISSN={["1099-1239"]}, DOI={10.1002/rnc.2886}, abstractNote={SUMMARY}, number={2}, journal={INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL}, author={Duan, Chang and Wu, Fen}, year={2014}, month={Jan}, pages={276–294} } @inproceedings{duan_wu_2014, title={Dwell-time min-switching for discrete-time switched linear systems}, DOI={10.1109/ecc.2014.6862224}, abstractNote={This paper addresses analysis and switching control problems of discrete-time switched linear systems. A mixed time-driven and state-dependent switching strategy is proposed to guarantee an average dwell time even when all subsystems are unstable. The switching rule and its associated switching output feedback controllers are designed to stabilize the switched system and achieve a disturbance attenuation performance. The proposed analysis and switching control approach could refrain frequent switches commonly observed in min-switching based designs. The effectiveness of the proposed approach is illustrated through a numerical example.}, booktitle={2014 European Control Conference (ECC)}, author={Duan, C. and Wu, F.}, year={2014}, pages={2540–2545} } @article{duan_wu_2013, title={NEW RESULTS ON CONTINUOUS-TIME SWITCHED LINEAR SYSTEMS WITH ACTUATOR SATURATION}, DOI={10.1115/dscc2013-3789}, abstractNote={This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion (NDI) description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimize the disturbance attenuation level defined by the regional ℒ2 gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by numerical search coupled with linear matrix inequality (LMI) optimization. Compared to the previous method based on polytopic differential inclusion (PDI), the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify effectiveness of the proposed approach.}, journal={ASME 2013 DYNAMIC SYSTEMS AND CONTROL CONFERENCE, VOL 2}, author={Duan, Chang and Wu, Fen}, year={2013} } @article{duan_wu_2013, title={Robust Switched Filtering for Time-Varying Polytopic Uncertain Systems}, volume={135}, ISSN={["1528-9028"]}, DOI={10.1115/1.4025027}, abstractNote={This paper studies the problem of designing robust switched filters for time-varying polytopic uncertain systems. The synthesis conditions for a set of filters under a min-switching rule are derived to guarantee globally asymptotical stability with optimized robust H∞ performance. Specifically, the conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by linear matrix inequality (LMI) optimization techniques. The proposed approach utilizes a piecewise quadratic Lyapunov function to reduce the conservativeness of robust filtering methods based on single Lyapunov function, thus better H∞ performance can be achieved. Both continuous and discrete-time robust filter designs are considered. To simplify filter implementation, a method to remove redundancy in min-switching filter members is also introduced. The advantages of the proposed robust switching filters are illustrated by several examples.}, number={6}, journal={JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME}, author={Duan, Chang and Wu, Fen}, year={2013}, month={Nov} } @inproceedings{duan_wu_2012, title={Output feedback control for continuous-time switched linear systems subject to actuator saturation}, DOI={10.1115/dscc2011-5925}, abstractNote={This paper is devoted to output feedback ℋ∞ control problem for continuous-time switched linear systems subject to actuator saturation. Using minimal switching rule, nonlinear output feedbacks, expressed in the form of quasi-linear parameter varying system are designed to satisfy a pre-specified disturbance attenuation level defined by the regional ℒ2 gains over a class of energy-bounded disturbances. The synthesis condition is further simplified and can be solved through efficient LMI optimizations. The proposed switched control approach is also illustrated by a simple example.}, booktitle={Proceedings of the ASME Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control (DSCC 2011), vol 1}, author={Duan, C. and Wu, F.}, year={2012}, pages={449–456} } @article{duan_wu_2012, title={Output-feedback control for switched linear systems subject to actuator saturation}, volume={85}, ISSN={["1366-5820"]}, DOI={10.1080/00207179.2012.691611}, abstractNote={This article is devoted to the output-feedback ℋ∞ control problem for switched linear systems subject to actuator saturation. We consider both continuous- and discrete-time switched systems. Using the minimal switching rule, nonlinear output feedbacks expressed in the form of quasi-linear parameter varying system are designed to satisfy a pre-specified disturbance attenuation level defined by the regional ℒ2 (ℓ2)-gains over a class of energy-bounded disturbances. The conditions are expressed in bilinear matrix inequalities and can be solved by line search coupled with linear matrix inequalities optimisation. A spherical inverted pendulum example is used to illustrate the effectiveness of the proposed approach.}, number={10}, journal={INTERNATIONAL JOURNAL OF CONTROL}, author={Duan, Chang and Wu, Fen}, year={2012}, pages={1532–1545} }