In this paper,a nonlinear control approach for an unstable networked plant in the presence of actuator and sensor limitations using robust right coprime factorization is proposed.The actuator is limited by upper and l...In this paper,a nonlinear control approach for an unstable networked plant in the presence of actuator and sensor limitations using robust right coprime factorization is proposed.The actuator is limited by upper and lower constraints and the sensor in the feedback loop is subjected to network-induced unknown time-varying delay and noise.With this nonlinear control method,we first employ right coprime factorization based on isomorphism and operator theory to factorize the plant,so that bounded input bounded output(BIBO)stability can be guaranteed.Next,continuous-time generalized predictive control(CGPC)is utilized for the unstable operator of the right coprime factorized plant to guarantee inner stability and enables the closed-loop dynamics of the system with predictive characteristics.Meanwhile,a second-Do F(degrees of freedom)switched controller that satisfies a perturbed Bezout identity and a robustness condition is designed.By using the CGPC controller that possesses predictive behavior and the second-Do F switched stabilizer,the overall stability of the plant subjected to actuator limitations is guaranteed.To address sensor limitations that exist in networked plants in the form of delay and noise which often cause system performance degradation,we implement an identity operator definition in the feedback loop to compensate for these adverse effects.Further,a pre-operator is designed to ensure that the plant output tracks the reference input.Finally,the effectiveness of the proposed design scheme is demonstrated by simulations.展开更多
In this paper,a robust nonlinear free vibration control design using an operator based robust right coprime factorization approach is considered for a flexible plate with unknown input nonlinearity.With considering th...In this paper,a robust nonlinear free vibration control design using an operator based robust right coprime factorization approach is considered for a flexible plate with unknown input nonlinearity.With considering the effect of unknown input nonlinearity from the piezoelectric actuator,operator based controllers are designed to guarantee the robust stability of the nonlinear free vibration control system.Simultaneously,for ensuring the desired tracking performance and reducing the effect of unknown input nonlinearity,operator based tracking compensator and estimation structure are given,respectively.Finally,both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.展开更多
Bound states in the continuum(BICs)supported by dielectric metasurfaces have significantly propelled the progress in optical technologies,notably for manipulating potent light-matter interactions.However,achieving a r...Bound states in the continuum(BICs)supported by dielectric metasurfaces have significantly propelled the progress in optical technologies,notably for manipulating potent light-matter interactions.However,achieving a robust quasi-BIC mode with high Q factor by adjusting geometric parameters remains a challenge,primarily the Q factors strongly depend on the asymmetricparameters andthestringentfabrication requirements.Here,we propose a novel strategy to enhance the robustness of the Q factor through the continuous excitation of the magnetic dipole mode with low energy loss.Through a specialized multi-cell structure,the nanoarrays can continuously excite the magnetic dipoles contributed by different structural components over a broad range of geometrical parameters,exhibiting exceptional robustness and high quality resonance.This work provides a theoretical scheme that offers new directions for obtaining robust high Q resonances and developing potential applications for high-performance optical devices.展开更多
Non-negative matrix factorization(NMF)is a recently popularized technique for learning partsbased,linear representations of non-negative data.The traditional NMF is optimized under the Gaussian noise or Poisson noise ...Non-negative matrix factorization(NMF)is a recently popularized technique for learning partsbased,linear representations of non-negative data.The traditional NMF is optimized under the Gaussian noise or Poisson noise assumption,and hence not suitable if the data are grossly corrupted.To improve the robustness of NMF,a novel algorithm named robust nonnegative matrix factorization(RNMF)is proposed in this paper.We assume that some entries of the data matrix may be arbitrarily corrupted,but the corruption is sparse.RNMF decomposes the non-negative data matrix as the summation of one sparse error matrix and the product of two non-negative matrices.An efficient iterative approach is developed to solve the optimization problem of RNMF.We present experimental results on two face databases to verify the effectiveness of the proposed method.展开更多
文摘In this paper,a nonlinear control approach for an unstable networked plant in the presence of actuator and sensor limitations using robust right coprime factorization is proposed.The actuator is limited by upper and lower constraints and the sensor in the feedback loop is subjected to network-induced unknown time-varying delay and noise.With this nonlinear control method,we first employ right coprime factorization based on isomorphism and operator theory to factorize the plant,so that bounded input bounded output(BIBO)stability can be guaranteed.Next,continuous-time generalized predictive control(CGPC)is utilized for the unstable operator of the right coprime factorized plant to guarantee inner stability and enables the closed-loop dynamics of the system with predictive characteristics.Meanwhile,a second-Do F(degrees of freedom)switched controller that satisfies a perturbed Bezout identity and a robustness condition is designed.By using the CGPC controller that possesses predictive behavior and the second-Do F switched stabilizer,the overall stability of the plant subjected to actuator limitations is guaranteed.To address sensor limitations that exist in networked plants in the form of delay and noise which often cause system performance degradation,we implement an identity operator definition in the feedback loop to compensate for these adverse effects.Further,a pre-operator is designed to ensure that the plant output tracks the reference input.Finally,the effectiveness of the proposed design scheme is demonstrated by simulations.
文摘In this paper,a robust nonlinear free vibration control design using an operator based robust right coprime factorization approach is considered for a flexible plate with unknown input nonlinearity.With considering the effect of unknown input nonlinearity from the piezoelectric actuator,operator based controllers are designed to guarantee the robust stability of the nonlinear free vibration control system.Simultaneously,for ensuring the desired tracking performance and reducing the effect of unknown input nonlinearity,operator based tracking compensator and estimation structure are given,respectively.Finally,both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.
基金This work was supported by the National Key Research and Development Program of China(No.2021YFA1201502)Scientific and Technological Innovation 2030-"Quantum Communication and quantum computer"Major Project(No.2023ZD0300304)the National Natural Science Foundation of China(Nos.92161118,12174324,and 21925404)。
文摘Bound states in the continuum(BICs)supported by dielectric metasurfaces have significantly propelled the progress in optical technologies,notably for manipulating potent light-matter interactions.However,achieving a robust quasi-BIC mode with high Q factor by adjusting geometric parameters remains a challenge,primarily the Q factors strongly depend on the asymmetricparameters andthestringentfabrication requirements.Here,we propose a novel strategy to enhance the robustness of the Q factor through the continuous excitation of the magnetic dipole mode with low energy loss.Through a specialized multi-cell structure,the nanoarrays can continuously excite the magnetic dipoles contributed by different structural components over a broad range of geometrical parameters,exhibiting exceptional robustness and high quality resonance.This work provides a theoretical scheme that offers new directions for obtaining robust high Q resonances and developing potential applications for high-performance optical devices.
基金This work was supported by the Scholarship Award for Excellent Doctoral Student granted by Ministry of Education,and the National Natural Science Foundation of China(Grant No.60875044)。
文摘Non-negative matrix factorization(NMF)is a recently popularized technique for learning partsbased,linear representations of non-negative data.The traditional NMF is optimized under the Gaussian noise or Poisson noise assumption,and hence not suitable if the data are grossly corrupted.To improve the robustness of NMF,a novel algorithm named robust nonnegative matrix factorization(RNMF)is proposed in this paper.We assume that some entries of the data matrix may be arbitrarily corrupted,but the corruption is sparse.RNMF decomposes the non-negative data matrix as the summation of one sparse error matrix and the product of two non-negative matrices.An efficient iterative approach is developed to solve the optimization problem of RNMF.We present experimental results on two face databases to verify the effectiveness of the proposed method.
