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Bernd Tibken - IEEE Xplore Author Profile

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This work is dedicated to a less conservative observer-based controller design LMI method for discrete-time quasilinear systems with polynomial parameter dependencies subject to stochastic noise. While robust closed loop stability of the deterministic part of the closed loop is guaranteed by a Lyapunov-based approach, the performance is improved by a separate $\mathcal {D}_{\mathrm{R}}$ eigenvalue...Show More
This paper analyses the global observability and parameter identifiability of nonlinear systems with inputs on a bounded initial domain. Our approach employs a global criterion with an injectivity test of bounded initial states based on Lie derivatives. However, instead of symbolic derivation, numerical computation via Taylor series expansion and automatic differentiation is implemented to determi...Show More
Besides an efficient operation of a gas boiler, ensuring a safe combustion across the operating range is essential. This becomes even more critical when burning hy-drogen instead of natural gas. The distinct characteristics of hydrogen and their effects on flame behavior necessitate stricter safety requirements. This paper investigates a novel method to contribute to the safe operation of a gas bo...Show More
This paper proposes a novel iterative linear matrix inequality (LMI) method for a class of input-affine nonlinear systems. The design method incorporates nonlinearities through convex enclosure techniques, thereby ensuring the stability of the nonlinear control system. Furthermore, the controller gain is optimized through the application of LQ criteria, while the observer gains are optimized in or...Show More
To meet the high accuracy requirements of ma-chine tools, models for mapping the behavior of machine axes are becoming increasingly important. The individual machine axes consist of mechanical components and a servo control system. To ensure precision, it is necessary to evaluate the interaction between both components through a coupled mechatronic simulation. Because the measuring systems and the...Show More
This paper addresses the robust dynamic output feedback (DOF) problem for linear parameter-varying (LPV) discrete-time systems with polynomial dependence of uncertainties. For this purpose, the robust control problem is formulated via linear matrix inequalities (LMI) using Lyapunov's theory for a stability proof. Two relaxation methods are required to solve the robust LMI problem. The first is nec...Show More
This paper presents a method to analyze the local observability of nonlinear systems with known inputs. For this purpose, an algorithm is presented that performs rank checking of the observability matrix using Lie derivatives. To overcome the limitations associated with inserting initial conditions and symbolically computing the derivatives, Interval arithmetic and Taylor series expansion with aut...Show More
This paper aims at designing an adaptive robust observer-based feedback controller for uncertain and saturated discrete-time linear systems. The uncertainties and the saturation are included in convex hulls and a Lyapunov function is used to ensure stability of the closed loop. By using an iterative algorithm, the controller and observer gains are computed simultaneously using LMI techniques. The ...Show More
This paper deals with controller design of discrete-time linear systems subject to magnitude and rate-saturated actuators. Thereby, oscillations are minimized by a pole placement within a convex approximation of the cardioid contour of constant damping. Stability is ensured by a quadratic Lyapunov function, whereby the nonlinear twofold actuator saturation is included in a convex hull. To design d...Show More
If a comprehensive overview of the state of health of a person is needed, the heart-rate alone is not sufficient. Beside the heart-rate and the blood pressure everything regarding to the respiratory complex is needed. With these two aspects a complete statement about a person's health status can be conducted. The conventional way to measure the oxygen saturation is the blood gas analyzation, which...Show More
Controller based on ionization current measurement are state of the art in the field of wall hung gas boilers (WHB). They are used to control the gas-air ratio of the combustion. The underlying ionization mechanism is a complex three-dimensional problem. Therefore, it is a difficult task to describe this system with a white-box model for simulation and controller design. This paper investigates a ...Show More
This paper investigates the simultaneous design of PID controller and Anti Windup gains for linear systems under magnitude and rate saturation. Thereby, the saturation is included in convex hulls and an iterative LMI approach is used to solve bilinear matrix inequalities (BMIs). To ensure stability, a quadratic Lyapunov function is used. With the proposed optimization task, the decay rate is maxim...Show More
This paper deals with the design of output feedback for multivariable (MIMO) linear discrete-time systems subject to actuator saturation. The saturation is included in a convex hull and a saturation-dependent Lyapunov function is used to ensure stability of the closed-loop. The guaranteed domain of attraction is enlarged by an iterative algorithm using linear matrix inequalities (LMIs). In numeric...Show More
This paper deals with static output control of multi-variable (MIMO) linear discrete time systems subject to actuator magnitude and rate saturation. An algorithm is presented to design saturated controllers using linear matrix inequalities (LMIs). The nested saturation is included in a convex hull and a quadratic Lyapunov function is used to guarantee the stability of the closed loop. There are tw...Show More
A persons heart rate is not only important for medical applications, but also for various applications among sports, psychology and many more. The conventional ways to measure the heart rate like pulseoxymetry, electrocardiogram, wrist belts and many more all have in common, that they are obtrusive and more or less inconvenient for the applicant. Because of this circumstance many different methods...Show More
3D printed objects are usually not completely filled to reduce weight, printing time and costs. Instead, infill structures are used. These infill structures have a major influence on the strength of 3D prints. To non-destructively investigate such infill structures, our approach is the use of terahertz time-domain spectroscopy. This paper studies possible evaluation parameters for imaging an exemp...Show More
To determine layer thicknesses with terahertz time-domain spectroscopy, the number of layers must usually be known. However, in some applications the number of layers varies along the surface, so that the number of layers at a specific measuring location can be unknown. Our approach is to use an artificial deep neural network for estimating the number of layers at a preliminary stage for common te...Show More
In todays modern control engineering and system theory, the investigation of stability for arbitrary nonlinear systems is one of the central topics. Numerous different methods established in recent years, but most of them are limited to a small set of possible functions. The main purpose of this contribution is, to present a method for the approximation of the robust domain of attraction (RDA) for...Show More
This paper aims at simultaneously synthesizing a windup compensator and controller using linear matrix inequalities (LMIs). The proposed method can be applied to any multivariable (MIMO) uncertain discrete linear system with actuator saturation and any linear control structure. The controller and windup compensator design is done iteratively. Depending on the application, one of two possible optim...Show More
Investigating the stability of arbitrary given systems is one of the key tasks in modern control engineering and systems theory. To evaluate the stability of systems, there were published innumerable approaches and methods to solve this crucial task. In this paper the new tool SEBezDANS is introduced to estimate the domain of attraction and therefore give a statement about the stability of the sur...Show More
This paper proposes a novel registration method in range-Doppler domain which is highly robust against inaccurate initialization. In contrast to state-of-the-art approaches which perform the registration in the point cloud domain, the proposed method shifts the registration to the range-Doppler domain. This algorithm is initialized with the mechanical motion sensors measurements and combines the r...Show More
This paper presents a novel local self-localization approach which formulates the registration problem as a range-Doppler response problem. The proposed registration algorithm utilizes sensor observations in range-Doppler domain in combination with a pre-built high precision map and motion sensors for velocity and yaw rate measurement. In contrast to state-of-the-art approaches which perform the r...Show More
In this paper the global self-localization problem of a vehicle without any prior knowledge of its initial pose in GNSS1 -restricted outdoor areas is investigated. Particle filtering is applied using radars, mechanical motion sensors and a digital map. To prevent the filter divergence due to the noisy measurements, two novel clustering-based techniques are introduced. The first technique tracks th...Show More
Measuring the heart rate is the most essential foundation for arbitrary applications in medicine and sports, as well as in many other cases of application, like psychology. The conventional ways of measuring the heart rate like pulseoxymetry, electrocardiogram, wrist belts and so on are afflicted with some very own disadvantages. The most prominent point is the need of direct contact between the m...Show More
In this paper a new approach for gain scheduled control design that can handle various multivariable controller stuctures is presented. Therefore, the class of multilinear discrete time systems is considered, which often occur in heating, ventilation and airconditioning (HVAC) applications. It is shown that the considered class of multilinear systems can be reformulated into the class of systems w...Show More