摘要 :
This research addresses the problem of finite-time tracking error constrained control for a class of non-strict stochastic nonlinear systems with unknown time-varying powers and multiple power terms. Based on the conversion from c...
展开
This research addresses the problem of finite-time tracking error constrained control for a class of non-strict stochastic nonlinear systems with unknown time-varying powers and multiple power terms. Based on the conversion from constrained tracking error to an unconstrained signal with the same effect, by adopting the backstepping technique together with adaptive neural network control, a controller with upper and lower time-varying power bounds is designed to meet the prescribed performance control scheme in finite-time. Finally, two simulation examples are shown to verify the effectiveness of the commendatory control method.& COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
收起
摘要 :
A finite dimensional state variable feedback controller is proposed for time-lag systems described by differential-difference equations. The result is made explicit for scalar systems. [References: 15]
摘要 :
We propose a family of bounded globally asymptotically stabilizing feedbacks for a class of discrete-time 'feedforward' systems. Our approach is inspired by similar work for continuous-time nonlinear systems in feedforward form. T...
展开
We propose a family of bounded globally asymptotically stabilizing feedbacks for a class of discrete-time 'feedforward' systems. Our approach is inspired by similar work for continuous-time nonlinear systems in feedforward form. The proposed methodology is constructive and is based on a Lyapunov design and allows the construction of arbitrarily small stabilizing feedbacks. [References: 13]
收起
摘要 :
This paper introduces a new concept of finite-time stability of linear time-invariant impulsive systems. The sufficient condition of finite-time stability of the system via impulsive control at fixed times and variable times is ob...
展开
This paper introduces a new concept of finite-time stability of linear time-invariant impulsive systems. The sufficient condition of finite-time stability of the system via impulsive control at fixed times and variable times is obtained, respectively. Such sufficient conditions of finite-time stabilization are given in terms of matrix inequalities. A numerical example is presented to illustrate the efficiency of the proposed results.
收起
摘要 :
In this work, strategies to devise an optimal feedback control of probabilistic Boolean control networks (PBCNs) are discussed. Reinforcement learning (RL) based control is explored in order to minimize model design efforts and re...
展开
In this work, strategies to devise an optimal feedback control of probabilistic Boolean control networks (PBCNs) are discussed. Reinforcement learning (RL) based control is explored in order to minimize model design efforts and regulate PBCNs with high complexities. A Q-learning random forest ( QLRF) algorithm is proposed; by making use of the algorithm, state feedback controllers are designed to stabilize the PBCNs at a given equilibrium point. Further, by adopting QLRF stabilized closed-loop PBCNs, a Lyapunov function is defined, and a method to construct the same is presented. By utilizing such Lyapunov functions, a novel self-triggered control (STC) strategy is proposed, whereby the controller is recomputed according to a triggering schedule, resulting in an optimal control strategy while retaining the closed-loop PBCN stability. Finally, the results are verified using computer simulations. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
收起
摘要 :
There has been recent interest in fast calculations of the tokamak axisymmetric vertical instability for real time feedback control purposes. It is shown that the maximum eigenvalue for the basic rigid version of this stability pr...
展开
There has been recent interest in fast calculations of the tokamak axisymmetric vertical instability for real time feedback control purposes. It is shown that the maximum eigenvalue for the basic rigid version of this stability problem can be obtained by finding the positive root to a simple scalar function. This function can be generalized to include plasma mass and has complexity linear in the number of conductive elements. The formulation is based on standard matrix decompositions of the fixed-geometry part of the eigenproblem. The calculation bottleneck is the summary of mutual inductances from the reconstructed equilibrium current density. The with-mass spectrum can be made fully real-valued by the addition of a critical amount of damping with negligible effect on the vertical growth rate. The calculation has been implemented in the plasma control system at the DIII-D tokamak and used in experiments.
收起
摘要 :
Necessary conditions for asymptotic stability and stabilizability of subsets for dy-namical and control systems are obtained. The main necessary condition is homotopical and is in turn used to obtain a homological one. A certain e...
展开
Necessary conditions for asymptotic stability and stabilizability of subsets for dy-namical and control systems are obtained. The main necessary condition is homotopical and is in turn used to obtain a homological one. A certain extension is ruled out. Questions are posed.
收起
摘要 :
The problem of finding a static output feedback matrix is restated. The new formulation replaces the solution of a set of inversely coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality an...
展开
The problem of finding a static output feedback matrix is restated. The new formulation replaces the solution of a set of inversely coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algorithm is noniterative in linear matrix inequality (LMI) solutions. The algorithm may be used to prescribe a given degree of stability, while keeping the static output feedback gain small. Use of the algorithm is demonstrated via an example
收起
摘要 :
We study the feedback stabilization of a fluid flow over a flat plate, around a stationary solution, in the presence of known perturbations. The feedback law is determined by solving a Linear-Quadratic optimal control problem. The...
展开
We study the feedback stabilization of a fluid flow over a flat plate, around a stationary solution, in the presence of known perturbations. The feedback law is determined by solving a Linear-Quadratic optimal control problem. The observation is the laminarto-turbulent transition location linearized about its stationary position, the control is a suction velocity through a small slot in the plate, the state equation is the linearized Crocco equation about its stationary solution. This article is the continuation of [7]where we have studied the corresponding Linear-Quadratic control problem in the absence of perturbations. The solution to the algebraic Riccati equation determined in [7], together with the solution of an evolution equation taking into account the nonhomogeneous perturbations in the model, are used to define the feedback control law.
收起
原文获取