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Yuanwei Tseng - One of the best experts on this subject based on the ideXlab platform.
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Inverse Optimal Control in State Derivative Space System with Applications in Motor Control
Energies, 2021Co-Authors: Feng-chi Lee, Yuanwei Tseng, Wen-chuan Chen, Chin-sheng ChenAbstract:This paper mathematically explains how State Derivative space (SDS) system form with State Derivative related feedback can supplement standard State space system with State related feedback in control designs. Practically, inverse optimal control is attractive because it can construct a stable closed-loop system while optimal control may not have exact solution. Unlike the previous algorithms which mainly applied State feedback, in this paper inverse optimal control are carried out utilizing State Derivative alone in SDS system. The effectiveness of proposed algorithms are verified by design examples of DC motor tracking control without tachometer and very challenging control problem of singular system with impulse mode. Feedback of direct measurement of State Derivatives without integrations can simplify implementation and reduce cost. In addition, the proposed design methods in SDS system with State Derivative feedback are analogous to those in State space system with State feedback. Furthermore, with State Derivative feedback control in SDS system, wider range of problems such as singular system control can be handled effectively. These are main advantages of carrying out control designs in SDS system.
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Model-Following Designs Using Direct State Derivative Measurement Feedback in Novel Reciprocal State Space Form
Journal of Applied Mathematics and Physics, 2019Co-Authors: Yuanwei TsengAbstract:Model-Following Designs Using Direct State Derivative Measurement Feedback in Novel Reciprocal State Space Form
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Sliding Mode Control with State Derivative Feedback in Novel Reciprocal State Space Form
Advances and Applications in Nonlinear Control Systems, 2016Co-Authors: Yuanwei TsengAbstract:This chapter introduces a novel reciprocal State space (RSS) system form. The concepts and the need of RSS form are comprehensively reviewed and explained. It shows that in RSS form, control design using State Derivative related feedback is straightforward. Sliding mode control (SMC) is a nonlinear control design method and a highly active area of research. Finite-time convergence due to discontinuous control law, low sensitivity to plant parameter uncertainty and/or external perturbation, and greatly reduced-order modeling of plant dynamics are the main advantages of SMC. In the past, the majority of available SMC algorithms and the corresponding switching conditions involved only State related variables. In this chapter, the advantages of both RSS and SMC are combined to develop sliding mode control in RSS form so that State derivate related feedback can be systematically applied in SMC to handle wider range of control problems. To provide the theoretical foundation, stability analysis in RSS form is first reviewed. Next, novel switching function and approaching condition based on the Derivative of sliding surface are proposed to carry out SMC design approach in RSS form with considerations of system uncertainty and disturbance. In addition, algorithm of finding upper bound of system uncertainty is developed for robustness analysis. To verify the proposed design algorithms, numerical examples are provided. Finally, conclusions are drawn.
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sliding mode control with State Derivative output feedback in reciprocal State space form
Abstract and Applied Analysis, 2013Co-Authors: Yuanwei Tseng, Yuning WangAbstract:This paper investigates the novel sliding mode control design with State Derivative output feedback in nontraditional reciprocal State space (RSS) form. The concepts and the need of RSS form are comprehensively reviewed and explained. Novel switching function and approaching condition based on the Derivative of sliding surface are introduced. In addition, a sufficient condition for finding the upper bound of system uncertainty to guarantee the stability in sliding surface is developed for robustness analysis. A compact sliding mode controller utilizing only State Derivative related output feedback is proposed for systems with system uncertainty, matched input uncertainty, and matched external disturbance. Simulation results for a circuit system successfully verify the validities of the proposed algorithms. Our derivation is basically parallel to that for systems in standard State space form. Therefore, those who understand the concepts of sliding mode control can easily apply our method to handle more control problems without being involved in complex mathematics.
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optimal control for a family of systems in novel State Derivative space form with experiment in a double inverted pendulum system
Abstract and Applied Analysis, 2013Co-Authors: Yuanwei Tseng, Jerguang HsiehAbstract:Optimal control for a family of systems in novel State Derivative space form, abbreviated as SDS systems in this study, is proposed. The first step in deriving optimal control laws for SDS systems is to form an augmented cost functional. It turns out that novel differential Lagrange multipliers must be used to adjoin SDS system constraints (namely, the dynamical equations of the control system) to the integrand of the original cost functional which is a function of State Derivatives. This not only eases our derivation but also makes our derivation parallel to that for systems in standard State space form. We will show via a real electric circuit that optimal control for a class of descriptor systems with impulse modes can easily be carried out using our design method. It will be shown that linear quadratic regulator (LQR) design for linear time-invariant SDS systems using State Derivative feedback can be obtained via an algebraic Riccati equation. Furthermore, this optimal State Derivative feedback may also be implemented using an equivalent State feedback. This is useful in real situations when only States but not the State Derivatives are available for measurement. The LQR design for a double inverted pendulum system is implemented to illustrate the use of our method.
Suchada Rajca - One of the best experts on this subject based on the ideXlab platform.
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triplet ground State Derivative of aza m xylylene diradical with large singlet triplet energy gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.
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Triplet Ground State Derivative of Aza-m-xylylene Diradical with Large Singlet−Triplet Energy Gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.
Andrzej Rajca - One of the best experts on this subject based on the ideXlab platform.
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triplet ground State Derivative of aza m xylylene diradical with large singlet triplet energy gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.
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Triplet Ground State Derivative of Aza-m-xylylene Diradical with Large Singlet−Triplet Energy Gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.
Edvaldo Assunção - One of the best experts on this subject based on the ideXlab platform.
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Less conservative conditions for robust LQR-State-Derivative controller design: an LMI approach
International Journal of Systems Science, 2021Co-Authors: Marco Antonio Leite Beteto, Edvaldo Assunção, Marcelo C. M. Teixeira, Emerson Ravazzi Pires Da Silva, Luiz Francisco Sanches Buzachero, Rodrigo Da Ponte CaunAbstract:This study proposes less conservative conditions for robust linear quadratic regulator controllers using State-Derivative feedback (SDF). The algebraic Ricatti equation was formulated using the SDF...
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Direct Design of Controllers Using Complementary State and State-Derivative Feedback
Journal of Control Automation and Electrical Systems, 2019Co-Authors: Fernanda Quelho Rossi, Marcelo Carvalho Minhoto Teixeira, Roberto Kawakami Harrop Galvao, Edvaldo AssunçãoAbstract:This paper is concerned with controllers design using complementary State and State-Derivative feedback, as an extension of the work presented in Rossi et al. (in: Proceedings of XXI Congresso Brasileiro de Automática, Vitória, Brazil, pp 828–833, 2016 ). The novel approach is more general, in that it enables the direct design of an CSSDF controller, dispensing with the need for a preliminary State feedback design. For this purpose, a discrete-time design model is derived to describe the plant dynamics in terms of the State and State-Derivative combinations available for feedback. The resulting model can be used with existing discrete-time State-space methods for the design of linear or nonlinear control laws. Simulation examples are presented to illustrate the proposed design method within a model predictive control formulation.
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New less conservative methods of robust controllers design using State Derivative feedback
IFAC-PapersOnLine, 2018Co-Authors: Lazaro Ismael Hardy Llins, Edvaldo Assunção, Marcelo C. M. Teixeira, Emerson Ravazzi Pires Da SilvaAbstract:Abstract This paper proposes new less conservative methods for the design of robust State Derivative feedback controllers in order to provide stability and improved dynamic performance to uncertain linear time invariant (LTI) systems. The controller design strategy is based on relaxed LMI conditions obtained using the Finsler’s Lemma technique. Numerical examples are presented to compare the proposed approach with other methods available in the literature.
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New Design of Robust LQR-State Derivative Controllers via LMIs
IFAC-PapersOnLine, 2018Co-Authors: Marco Antonio Leite Beteto, Edvaldo Assunção, Marcelo C. M. Teixeira, Emerson Ravazzi Pires Da Silva, Luiz Francisco Sanches Buzachero, Rodrigo Da Ponte CaunAbstract:Abstract The resolution of linear quadratic regulator’s problem (LQR) approached via linear matrix inequalities (LMIs) for linear and time-invariant systems is proposed in this work. The design of the controllers is based on the State Derivative feedback. The aim of the choice of the State Derivative feedback is your easy implementation in a class of mechanical systems, such as in vibrations control, for example. The signals used for feedback are obtained by means of accelerometers. Still, in the controller design, the decay rate is considered. To illustrate the efficiency of the proposed theorems a practical implementation on an active suspension system is presented. During the implementation, an uncertainty in the model of the active suspension system and an actuator fault are assumed, and even in the presence of uncertainty and fault occurrence, the oscillations are attenuated by the proposed technique.
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design of gain scheduling control using State Derivative feedback
Mathematical Problems in Engineering, 2017Co-Authors: Lazaro Ismael Hardy Llins, Edvaldo Assunção, Marcelo C. M. Teixeira, Rodrigo Cardim, Mario R R Cadalso, Diogo Ramalho De Oliveira, Emerson R P Da SilvaAbstract:In recent years, the study of systems subject to time-varying parameters has awakened the interest of many researchers. The gain scheduling control strategy guarantees a good performance for systems of this type and also is considered as the simplest to deal with problems of this nature. Moreover, the class of systems in which the State Derivative signals are easier to obtain than the State signals, such as in the control for reducing vibrations in a mechanical system, has gained an important hole in control theory. Considering those ideas, we propose sufficient conditions via LMI for designing a gain scheduling controller using State Derivative feedback. The -stability methodology was used for improving the performance of the transitory response. Practical implementation in an active suspension system and comparison with other methods validates the efficiency of the proposed strategy.
Arnon Olankitwanit - One of the best experts on this subject based on the ideXlab platform.
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triplet ground State Derivative of aza m xylylene diradical with large singlet triplet energy gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.
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Triplet Ground State Derivative of Aza-m-xylylene Diradical with Large Singlet−Triplet Energy Gap
Journal of the American Chemical Society, 2011Co-Authors: Andrzej Rajca, Arnon Olankitwanit, Suchada RajcaAbstract:Organic molecules with a strong preference for triplet ground States, in which the triplet State is below the lowest singlet State by ≥10 kcal/mol, are typically short-lived and mostly detected as reactive intermediates. We now report a triplet ground State Derivative of aza-m-xylylene diradical with a large singlet−triplet energy gap (ΔEST) of ∼10 kcal/mol, which is comparable to ΔEST for the well-known reactive intermediate m-xylylene diradical. The aminyl diradical persists in solution at room temperature on the time scale of minutes.