Inspired by recent developments in dissipativity-based control, this work proposes new sufficient conditions for asymptotic stabilization of nonlinear systems using state feedback. We prove that this new framework is well suited for data-driven control of polynomial systems using noisy measurements, a topic that has lately attracted considerable attention. Two iterative procedures for data-based state feedback design are provided using the proposed framework, that use sum-of-squares (SOS) optimization. Typical limitations of conventional SOS methods based on alternating (D-K) procedures for controller design, such as the need to provide an initialization for a control-Lyapunov function (CLF), are overcome in this paper. Numerical examples demonstrate the applicability and the advantages of the new strategies.
This paper presents an optimal control framework for achieving finite-time stabilization of linear systems. By introducing a suitably constructed integral cost function, we derive a new class of nonlinear controllers that guarantee finite-time stability through the application of the optimality principle. The relations...
Recently, dynamic state feedback controllers that are based on dynamic extensions have been presented for heterodirectional hyperbolic systems. In this paper, a similar concept for the control of coupled diffusion-reaction systems is suggested. The introduction of a specific controller dynamics leads to homogenized dif...
N. Gehring, Benedikt Schwämmle, A. Irscheid et al.· 0 citations
This paper presents a synergistic control strategy for discrete-time singularly perturbed systems, where data-driven learning is seamlessly combined with LMI-based synthesis, thereby offering an effective new approach for controlling discrete-time singularly perturbed systems in complex engineering environments.
Peng Wang, Wenkai Zhou, Yangyang Wang et al.· Advances in Complex Systems· 0 citations
A new method is presented for synthesising a control algorithm for second-order nonlinear dynamic systems based on the concept of fixed-time stabilisation with output feedback. The study focuses on a broad class of planar nonlinear systems for which full access to state variables is not possible. The proposed methodolo...
Zhansaya Yergazy, K. Alimhan, N. Mukatayev· Bulletin of Shakarim Univers...· 0 citations
This work examines the state estimation of fuzzy control systems subject to disturbances, particularly perturbations bounded by a Hölderian continuous function, and solves the observer design problem using the Takagi–Sugeno (T–S) fuzzy approach with specific restrictions on the nonlinearities.
Z. Klai, M. A. Hammami, M. Ayari et al.· International Journal of Dyn...· 0 citations
This paper addresses the stabilization problem for a perturbed double–integrator affected by a bounded perturbation featuring a constant upperbound which is a priori unknown. We propose an adaptive feedback law, composed by the interconnection between a linear state-feedback controller and the twisting controller with...
Paul Mayr, A. Pilloni, A. Pisano et al.· International Workshop on Va...· 0 citations
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