Online critic-identifier-actor algorithm for optimal control of nonlinear systems

Adaptive critic optimization to decentralized event‐triggered control of continuous‐time nonlinear interconnected systems

“…▪ Remark 2. According to Theorem 1, we know a promising way to find the decentralized ETC of interconnected system (1) with the triggering condition (16). That is, by solving the event-triggered HJB equation ( 14), we can obtain the optimal ETC laws (13).…”

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control

“…The optimal control theory is developing fast and its various applications are extensively used in many fields of science and engineering [25] . This theory for linear systems has been highly improved [26] , however, the nonlinear optimal control problem (OCP) has become a strong topic and should be deeper investigated [27][28] . Jajarmi and Baleanu [29] proposed a new approach based on the modal series method and eigenvalue decomposition technique to solve a class of nonlinear optimal control problems.…”

Incremental model-based global dual heuristic programming with explicit analytical calculations applied to flight control

“…ACDs can be model-free if the critic is an AD network, which means the control signals are also introduced as network inputs (Abouheaf et al (2018), Vamvoudakis and Ferraz (2018)). Nevertheless, to achieve model free application, an alternative is building a third module to approximate the plant dynamics and ANNs are often regarded as the first choice (Van Kampen et al (2006), Liu et al (2012), Bhasin et al (2013), Lin et al (2017), Liu et al (2013)). Van Kampen et al (2006) illustrates how this three-network structure outperforms AD ones if rewards only depend on system states.…”