qing Xiao

Stabilization for Networked Control Systems with Nonlinear Perturbation

Abstract This paper discusses the stabilization controller designs for a class of networked control systems with nonlinear perturbation. Under consideration of both network-induced delay and the data packet dropout in the transmission, a state feedback controller and a static output feedback controller are constructed, respectively. In addition, the effectiveness of our approach is demonstrated by two numerical examples.

Network-Based Control of Discrete-Time Descriptor Systems with Random Delays

This paper addresses the network-based control problem for a class of descriptor systems in the discrete-time domain with random delays. By modeling the sensor-to-controller and controller-to-actuator delays as Markovian chains, the closed-loop system can be expressed as a jump linear descriptor system with two modes. The stochastically admissible necessary and sufficient condition for the closed-loop system is constructed. An explicit expression for the desired controller is given without any system decomposition. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs). In addition, an example is given to illustrate the effectiveness of the proposed approach.

Event-triggered H∞ filtering for discrete-time systems over unreliable networks with package dropouts

Abstract This paper considers the event-triggered H ∞ filtering problem for discrete-time linear systems subject to package dropouts. The system measurement output is quantized before transmitted through the communication network with limited capacity. The event-triggered transmission mechanism is proposed and Bernoulli process is utilized to describe the package dropouts. A new sufficient condition is obtained such that the resulted error system is mean square exponentially stable and the filtering error satisfies the prescribed H ∞ performance. Then, co-design algorithm for the parameters of filter and event-triggered condition is presented by means of linear matrix inequality approach. Moreover, the minimum attenuation level bound can be obtained by solving a convex optimization problem. Numerical simulations show the effectiveness and less conservativeness of the proposed approach.

Simultaneous semi-global Lp-stabilization and asymptotical stabilization for singular systems subject to input saturation

Abstract The simultaneous semi-global L p -stabilization and asymptotic stabilization in both semi-global and global cases are considered for continuous-time linear singular systems subject to input saturation. Based on the asymptotical property of the parametric generalized algebraic Riccati equations, a low-and-high gain state feedback control law and a scheduling technique are proposed. When applied to the singular system subject to input saturation and external disturbance, the semi-global finite-gain L p -stabilization and semi-global/global asymptotic stabilization are obtained simultaneously. The obtained results reduce to the existing ones for non-singular linear systems when the linear singular system reduces to a non-singular system. Furthermore, our results also improve the semi-global stabilization results for singular systems with saturation in the absence of the external disturbance.

Networked Control for Singular Systems Over Unreliable Channel with Limited Capacity

This paper addresses networked control problem for discrete-time linear singular systems over unreliable channel. It is assumed that the controller can only receive the transmitted sequence of finite coded signals via unreliable channels, which may be lost due to the limited communication capacity and transmission errors. By introducing compensation terms at every update instant and auxiliary systems in each sampling interval, both state- and output-based coder–decoder–controller procedures are proposed. Then, a uniform sufficient feedback stabilization condition involving the size of coding alphabet, the sampling period and data packet dropout rate is obtained. Finally, an example is given to illustrate the design procedures and effectiveness of the proposed results.

Simultaneous L p -stabilization and internal stabilization for linear singular systems subject to input saturation

The simultaneous Lp-stabilization and internal stabilization for continuous-time linear singular systems subject to input saturation are considered. A scheduled low-and high-gain state feedback control law is proposed, which relies on the asymptotical property of a class of parametric generalized algebraic Riccati equations. When applied to the singular system with input saturation and external disturbance, finite-gain Lp-stabilization and global internal stabilization are obtained simultaneously. The result reduces to the existing results for non-singular linear systems when the linear singular system reduces to a non-singular system. Furthermore, the result also extends the semi-global stabilization results for singular systems with saturation in the absence of the external disturbance.