Observer-based finite-time H∞ control of Itô-type stochastic nonlinear systems

This paper investigates the finite-time control of Itô-type stochastic nonlinear systems. Considering the transient performance and anti-interference ability within a given limited time interval, the control strategy of stochastic nonlinear systems is researched. A new sufficient condition for mean-square finite-time boundedness for stochastic nonlinear system is developed. Due to the state components are not available, a state observer is designed. Based on the estimated state, an controller is proposed and Linear Matrix Inequality (LMI) conditions are given, which not only guarantee the mean-square finite-time boundedness but also satisfy the corresponding performance. Finally, two examples are given to demonstrate the effectiveness of the results.     

Event-triggered H∞ control of discrete-time switched linear systems with delays

This paper studies the control problem of discrete-time delayed switched systems with average dwell time switching signals using event-triggered mechanism. The event-triggered mechanism can reduce redundant information transmission. First, employing state-feedback controller, two sufficient conditions are proposed to guaranteeing (i) exponential stability of the disturbance-free closed-loop system and (ii) performance of the closed-loop system with disturbance. Moreover, the controller gain is explicitly computed by solving a set of linear matrix inequalities. Second, results obtained for state-feedback controller are extended to those for observer-based state-feedback controller, and both the controller and observer gains are explicitly computed. All conditions are derived by utilizing a properly constructed decay-rate-dependent Lyapunov functional. Finally, a numerical example illustrates the validity of the obtained theoretical results.     

Dynamic event-triggered H∞$$ {H}_{infty } $$ control for continuous-time singular system with cyber attacks

This essay discusses the control for continuous-time singular systems with two types of stochastic cyber attacks and dynamic event-triggered scheme. So as to economize network resources and reduce communication burden, the novel dynamic event-triggered mechanism is given. Cyber attacks occur randomly during network information transmission, especially the denial of service (DoS) attacks and the deception attacks. By using Lyapunov–Krasovskii functional, some novel sufficient conditions for the impulse free, regular, and asymptotically stable of the studied system are obtained, and a corresponding controller is devised. In addition, a desired controller gain is received through resolving linear matrix inequalities. Eventually, a few numerical examples are supplied to certify the usefulness of provided design ways and results.     

Finite-horizon Q-learning for discrete-time zero-sum games with application to H∞$$ {H}_{infty } $$ control

In this paper, we investigate the optimal control strategies for model-free zero-sum games involving the control. The key contribution is the development of a Q-learning algorithm for linear quadratic games without knowing the system dynamics. The finite-horizon setting is more practical than the infinite-horizon setting, but it is difficult to solve the time-varying Riccati equation associated with the finite-horizon setting directly. The proposed algorithm is shown to solve the time-varying Riccati equation iteratively without the use of models, and numerical experiments on aircraft dynamics demonstrate the algorithm's efficiency.     

H∞ consensus for Markov jump multi-agent systems with partly unknown transition probabilities and multiplicative noise

This paper focuses on the consensus control problem about Markov jump multi-agent systems with partly unknown transition probabilities and multiplicative noise. The transition probabilities of the Markov jumps are considered to be partly unknown, which are more applicable than the traditional assumption in Markov jump systems that all of them must be completely known. Sufficient conditions for consensus control problem are derived by using less linear matrix inequalities. Finally, a simulation example is provided to show the validity of our results.