“…Based on it, the optimal tracking controller is designed within critic-only ADP while minimizing the novel value function considering prescribed functions ( 4) and (5). Therefore, the whole controller is constructed as: (6) with d u is the feedback controller and * u is the optimal controller. The specific diagram of the whole controller is detailed in Figure 1.…”
Section: Resultsmentioning
confidence: 99%
“…To deal with the impact induced by uncertainties during controller design, there emerge a large amount of tools to approximate uncertainties and combined with other controllers, e.g., neural networks (NNs) [4,5], fuzzy logic systems [6][7][8], and disturbance observers [9][10][11]. For example, by integrating with a backstepping control, an adaptive tracking controller is designed in [5] for uncertain nonlinear systems, where an NN is utilized to estimate the uncertain term of the model.…”
A critic-only learning-based tracking control with prescribed performance was proposed for a class of uncertain nonlinear systems. Based on an estimator and an optimal controller, a novel controller was designed to make tracking errors uniformly ultimately bounded and limited in a prescribed region. First, an unknown system dynamic estimator was employed online to approximate the uncertainty with an invariant manifold. Subsequently, by running a novel cost function, an optimal controller was derived by online learning with a critic-only neural network, which ensured that tracking errors can evolve within a prescribed area while minimizing the cost function. Specifically, weight update can be driven by weight estimation error, avoiding introducing an actor-critic architecture with a complicated law. At last, the stability of a closed-loop system was analyzed by Lyapunov theorem, and tracking errors evolved within prescribed performance with the optimal controller. The effectiveness of the proposed control can be demonstrated by two examples.
“…Based on it, the optimal tracking controller is designed within critic-only ADP while minimizing the novel value function considering prescribed functions ( 4) and (5). Therefore, the whole controller is constructed as: (6) with d u is the feedback controller and * u is the optimal controller. The specific diagram of the whole controller is detailed in Figure 1.…”
Section: Resultsmentioning
confidence: 99%
“…To deal with the impact induced by uncertainties during controller design, there emerge a large amount of tools to approximate uncertainties and combined with other controllers, e.g., neural networks (NNs) [4,5], fuzzy logic systems [6][7][8], and disturbance observers [9][10][11]. For example, by integrating with a backstepping control, an adaptive tracking controller is designed in [5] for uncertain nonlinear systems, where an NN is utilized to estimate the uncertain term of the model.…”
A critic-only learning-based tracking control with prescribed performance was proposed for a class of uncertain nonlinear systems. Based on an estimator and an optimal controller, a novel controller was designed to make tracking errors uniformly ultimately bounded and limited in a prescribed region. First, an unknown system dynamic estimator was employed online to approximate the uncertainty with an invariant manifold. Subsequently, by running a novel cost function, an optimal controller was derived by online learning with a critic-only neural network, which ensured that tracking errors can evolve within a prescribed area while minimizing the cost function. Specifically, weight update can be driven by weight estimation error, avoiding introducing an actor-critic architecture with a complicated law. At last, the stability of a closed-loop system was analyzed by Lyapunov theorem, and tracking errors evolved within prescribed performance with the optimal controller. The effectiveness of the proposed control can be demonstrated by two examples.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.