TL;DR: In this paper, an experimental identification and vibration suppression of a flexible manipulator with piezoelectric actuators and strain sensors using optimal multi-poles placement control is presented.
Abstract: This paper presents experimental identification and vibration suppression of a flexible manipulator with piezoelectric actuators and strain sensors using optimal multi-poles placement control. To precisely identify the system model, a reduced order transfer function with relocated zeros is proposed, and a first-order inertia element is added to the model. Comparisons show the identified model match closely with the experimental results both in the time and frequency domains, and a fit of 97.2% is achieved. Based on the identified model, a full-state multi-poles placement controller is designed, and the optimal locations of the closed loop poles are determined where the move distance of the closed loop poles is the shortest. The feasibility of the proposed controller is validated by simulations. Moreover, the controller is tested for different locations of the closed loop poles, and an excellent performance of the optimal locations of the closed loop poles is shown. Finally, the effectiveness of the proposed controller is demonstrated by experiments. Results show that the vibrations of the expected modes are significantly diminished. Accordingly, multi-mode vibrations of the manipulator are well attenuated.
TL;DR: In this paper, the identification of closed-loop continuous-time systems, with delayed feedback action, from sampled input-output measurements, is presented that requires only the knowledge of their orders and of the time-delay introduced in the feedback loop.
TL;DR: In this article, an algorithm for modal control of linear time-invariant (LTI) discrete system is proposed to improve the quality of the processes and achieve the desired stability degree of the system.
Abstract: In this paper an algorithm for modal control of linear time-invariant (LTI) discrete system is proposed to improve the quality of the processes and achieve the desired stability degree of the system. For this purpose the suggested algorithm is calculating the feedback state vector for a single-input single-output (SISO) system so that the closed loop poles to be distributed into a predefined sector on the positive axis. As the calculated control signal delivered by the developed algorithm is a scalar variable it could be given the following name: scalar modal control (SMC) algorithm.
TL;DR: An extension, at the approximation level, of shunt-peaking technique to increase the filter/amplifier bandwidth by multiplying frequency dependent square modulus of transfer function by a polynomial of squared frequency is described.
Abstract: The paper describes an extension, at the approximation level, of shunt-peaking technique to increase the filter/amplifier bandwidth. The frequency dependent square modulus of transfer function is multiplied by a polynomial of squared frequency. Using a standard procedure of restoration one finds the new transfer function which is the result of multiplication of initial transfer function by the zeros defined by this polynomial of squared frequency. This new transfer function is characterized by a faster step-transient response of smaller delay and lower overshoot in comparison with initial function which did not include the zeros. An example of sixth order Butterworth filter is considered to demonstrate the modifications of step-transient response depending on the number of zeros. The procedure can also result in pole-zero cancellation simplifying the transfer function for given step-transient response.
TL;DR: In this paper, a method to derive a frequency response characteristic with a transfer function type using based on the way of thinking of averaging method, and succeeded expressing transfer function of the bode diagram which agreed with actual survey.
Abstract: Among various converters, the LLC electric current resonant converter attracts attention because of high power density, low noise and high efficiency. However, this converter cannot apply the analysis of averaging method, and impossible to derivate the transfer function, so designing is difficult. In this study, we devised a method to derive a frequency response characteristic with a transfer function type using based on the way of thinking of averaging method, and succeeded expressing transfer function of the bode diagram which agreed with actual survey. Moreover, we derived poles from the transfer function, and showed the relation between the shape of the bode plots and poles.
TL;DR: The results show that the zero and gain settings are sufficient to ensure robust performance and stability with respect to various operating points in the F-16 aircraft.
Abstract: This work presents an application of Linear Matrix
Inequalities (LMI) for the robust control of an F-16 aircraft through
an algorithm ensuring the damping factor to the closed loop system.
The results show that the zero and gain settings are sufficient to ensure
robust performance and stability with respect to various operating
points. The technique used is the pole placement, which aims to put
the system in closed loop poles in a specific region of the complex
plane. Test results using a dynamic model of the F-16 aircraft are
presented and discussed.
TL;DR: This paper formulates the problem of allocating the closed loop poles of discrete-time systems in specific regions of the complex plane through state-feedback as a semi-definite optimization program and proposes a new inner approximation to handle the non-convex sets that arise from the minimum damping factor specification.
Abstract: This paper formulates the problem of allocating the closed loop poles of discrete-time systems in specific regions of the complex plane through state-feedback as a semi-definite optimization program. In order to handle the non-convex sets that arise from the minimum damping factor specification, a new inner approximation is proposed. Linear matrix inequalities (LMI) regions are used to define restrictions on the numerical algorithm. Finally, the method is compared to other alternatives and examples are given.
TL;DR: An optimization-based technique to design robust control system in case of control input limitations using the algebraic approach resulting in polynomial equations and a pole-placement problem to be solved.
Abstract: This paper presents optimization-based technique to design robust control system in case of control input limitations. The methodology uses the algebraic approach resulting in polynomial equations and a pole-placement problem to be solved. Closed-loop poles are optimized numerically with the help of the MATLAB computing system and its toolboxes for simulation and optimization. Suitable performance criteria and a procedure are suggested for this purpose. The case of 1 and 2 parameters optimization is illustrated on a nonlinear servo-system control design using both simulation and real-time experiments. Presented results prove the proposed methodology.
TL;DR: This paper describes the closed loop system by an augmented states space representation to identify conditions for design of the controllers gains, and extends the main result to consider parametric norm bounded uncertainties, and a closed loop pole allocation criteria based on the so called D-stability regions.
Abstract: In this paper we deal with the design problem of PI controllers for linear MIMO systems using LMI. From a previous result on output static feedback design, we describe the closed loop system by an augmented states space representation to identify conditions for design of the controllers gains. We extend the main result to consider parametric norm bounded uncertainties, and a closed loop pole allocation criteria based on the so called D-stability regions. The design procedure is applied to two simulation examples. The first one deals with the Quadruple Tank Process benchmark while the second considers distributed control of a multiagent system.
TL;DR: A state feedback controller is designed for an uncertain plant using a parameter dependent Lyapunov function V(X) = XTP(α)X that guaranties less conservative LMIs and minimizes the norm of a controller using the parameter dependentLyapunv function for uncertain system.
Abstract: Lately, it has been developed many studies related to the control of uncertain systems, one reason for this studies is because it is hard to precisely describe a system, therefore the process is expressed as uncertain systems. One way to represent an uncertain system is by describing the model as a convex combination of several knownmodels. In this paper a state feedback controller is designed for an uncertain plant using a parameter dependent Lyapunov function V(X) = XTP(α)X that guaranties less conservative LMIs. A way to restrict the closed loop poles based on a decay rate is also applied for the enhanced Lyapunov function. Finally this paper minimizes the norm of a controller using the parameter dependent Lyapunov function for uncertain system. Practical results are obtained by implementing the enhanced Lyapunv function in the inverted pendulum of Quanser® company.
TL;DR: A simulation tool that compares different time sub-optimal controllers applied to the second order time-delayed systems with integral character and finds that the controllers derived are appropriate also for extremely fast application and easy to tune by a procedure that generalizes the well-known method by Ziegler and Nichols.
Abstract: The paper describes a simulation tool that compares different time sub-optimal controllers applied to the second order time-delayed systems with integral character. The controlled system is modeled by two integrators with a time-delay. Depending on the desired closed loop poles various time sub-optimal controllers are derived. They represent hybrid solutions with dynamics ranging from the relay minimum time systems to linear pole assignment ones. In contrast to the other known solutions the controllers derived are appropriate also for extremely fast application and easy to tune by a procedure that generalizes the well-known method by Ziegler and Nichols. The simulation tool designed in the Matlab/Simulink environment enables an easy-to-use controller design changing their parameters and appling them to the controlled system. By being easily accessible via Internet it is excellent to cary on comparision of applied methods.
TL;DR: A time-driven pole placement based Memory Less State Feedback Controller (MSFC) has been designed using the Linear Matrix Inequality (LMI) to control a plant over an network under variable latency (jitter) and data-loss.
Abstract: A time-driven pole placement based Memory Less State Feedback Controller (MSFC) has been designed using the Linear Matrix Inequality (LMI) to control a plant over an network under variable latency (jitter) and data-loss. This Networked Control System (NCS) has been formulated as an Asynchronous Dynamic System (ADS) with rate constraints. The pole placement based controller has been derived to place the closed loop poles in a prescribed region of NCS. The derived controller also ensures some specified disturbance attenuation level. The competency of the proposed controller design methodology has been validated with credible offline (MATLAB/Simulink) and online (OPAL RT) simulations.
TL;DR: In this article, a modification of the Nevanlinna-pick interpolation theory can place the closed-loop poles inside a circular region in the left half of the complex plane in addition to the control system design being robust and internally stable.
Abstract: Nevanlinna-Pick interpolation theory has sevaral applications, in particular in robust control. In this paper, we derive necessary and sufficient condition so that a modification of the Nevanlinna-Pick theory can place the closed-loop poles inside a circular region in the left half of the complex plane in addition to the control system design being robust and internally stable. Numerical examples illustrate the theory.