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5 articles for “Lyapunov functional”
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Wavelet Reduced-Order Observer-based Adaptive Tracking Control for a Class of Uncertain Nonlinear Systems
Abstract: This Paper investigates the mean to design the reduced-order observer and observer-based controllers for a class of uncertain nonlinear systems. A new design approach of wavelet-based adaptive reduced-order observer is proposed. The proposed wavelet adaptive reduced-order observer performs the task of identification of unknown system dynamics in addition to the reconstruction of states of the system. Owing to their superior learning capabilities, wavelet networks are employed in this work for …
Published in Journal of Instrumentation Technology & Innovations · Vol. 1, Issue 2-3, 2011 · pp. 16–22 Read article
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Mathematical Analysis of prey-predator model
Abstract: In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 1–10 Read article
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Dynamics of Prey Predator Model with Harvesting of Prey
Abstract: In this paper we studied the dynamics of prey-predator model with Holling type-II response. The predator is generalist type and can sustain in absence of prey. In addition to that a constant harvesting effort is induced in the prey species. The model is characterized by a couple of differential equations. The well posed ness of the model is established. The system is bounded, exhibits positive solutions and persistence. The possible …
Published in Research & Reviews : Journal of Ecology · Vol. 12, Issue 3, 2023 · pp. 24–33 Read article
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Regulation of Second and third Order Intervals Plant Using PID Surface Sliding Mode Control Strategy
Abstract: In this article regulation aspects of second and third-order interval systems considering sliding mode control, PID surface sliding mode control strategies are discussed. The transfer function models of second and third order systems are considered for the evaluation of system performances. The linear part and non-linear part of the SMC strategy are designed and stability is analyzed using Lyapunov analysis. A conventional PID controller and PID surface SMC strategy are …
Published in Trends in Electrical Engineering · Vol. 13, Issue 2, 2023 · pp. 28–49 Read article
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LQR-Based Optimal Control of Inverted Pendulum System with State Estimation and Stability Analysis
Abstract: The inverted pendulum on a cart is a canonical benchmark problem in control systems engineering, capturing the essential challenges of stabilizing an inherently unstable, underactuated, and nonlinear plant. Classical Proportional-Integral-Derivative (PID) controllers, while widely employed in industrial practice, exhibit fundamental performance limitations when applied to such systems, primarily due to their inability to account for multivariable coupling, process noise, and the absence of a systematic optimization framework. This paper presents …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 1, 2026 · pp. 31–43 Read article