The Lyapunov-based adaptation law is employed to enable the production of internal battery state and age-dependent parameters estimations using only battery terminal voltage and noisy current measurements. Though parameters vary with aging, temperature or other factors, accurate estimations are still ...
For a MRAC design using the direct adaptation approach, restrictive assumptions on the prior knowledge of Kp have been made. For example, in Ioannou and Sun (1996) it was assumed that a matrix Sp is known such that KpSp=(KpSp)T>0. On the other hand, using the indirect adaptation ...
The estimator is based on the extended Kalman filter (EKF) structure combined with a Lyapunov-based adaptation law for estimating the contact force. In ... J Jung,J Lee,K Huh - ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science 1989-...
The performance of the adaptation algorithm is demonstrated through both simulations and experiments for a single-degree-of-freedom (SDOF) system with unknown parameters and subject to an unknown sinusoidal disturbance. Significant matching between the simulation and experimental results is observed.; In ...
In this study, let’s denote\(S\)as the region where the controlled system is stable under the input law\(u=h(x)\)and\({S}_{\delta }\)the Lyapunov-based stability zone given by $$S_{\delta } = \left\{ {x \smallint X_{e} :V\left( x \right) < \delta } \right\},$...
where \(f_0(x)\) stands for the interplay between two horizons and it arises from the gravity effect. In the following, we mainly focus on the process of obtaining the function \(f_0(x)\). Since the thermodynamic quantities of this system satisfy the first law ...
Lyapunov Adaptation LawDevelopment of adaptive control system for over its history has a great number of approaches. A crucial property of all approaches is that they have the ability to adapt the controller to accommodate changes in the process. That means that the controller maintains a required...
The Control Based on Lyapunov Adaptation Law to be Improved Modified Kohonen RuleKulic, R.Tuba, M.Novakovic, J.International Review of Aerospace Engineering
In this paper, we will propose a self-tuning method for a class of nonlinear PID control systems based on Lyapunov approach. The three PID control gains are adjustable parameters and will be updated online with a stable adaptation mechanism such that the PID control law tracks certain feedback...
The stability of closed-loop nonlinear PID control system is analyzed and guaranteed by introducing a supervisory control and a modified adaptation law with projection. Finally, a tracking control of an inverted pendulum system is illustrated to demonstrate the control performance by using the proposed...