Observer-Based Output Feedback MPC for T–S Fuzzy System With Data Loss and Bounded Disturbance

Abstract

This paper investigates the output feedback model predictive control (OFMPC) for Takagi-Sugeno fuzzy networked control systems with bounded disturbance, where data quantization and data loss occur simultaneously. The quantization error is treated as sector bound uncertainties by using the sector bound approach and the data loss process is modeled as a time-homogeneous Markov chain. Invoking S-procedure and the notion of quadratic boundedness which can specify closed-loop stability for system with disturbance, the state observer is offline designed and the networked output feedback model predictive controller is provided which explicitly considers the satisfaction of input constraints. Two online synthesis algorithms of OFMPC are presented, one parameterizing the infinite horizon control moves into a single feedback law, the other into one free control move followed by the single feedback law based on the state observer. A new formula is introduced to refresh the ellipsoidal bound of estimation error which can guarantee the recursive feasibility of optimization problem. An example is given to demonstrate the effectiveness of the proposed new design techniques.

Event‐triggered observer‐based robust H∞ control for networked control systems with unknown disturbance

“…Yet, along with these advantages, some challenging issues (bandwidth allocation, communication delay, packet dropouts, packet disorders, and channel fading) emerged and gave rise to much attention. Then most recently, the research on the NCSs has become a heated topic and many elegant results have been proposed . For instance, in Reference , an optimal linear filter for the NCSs was designed with involving time‐correlated fading channels.…”

“…Since the disturbances are ubiquitous and usually degrade control performances or even result in instability, a large number of antidisturbance control methods have been reported in order to improve the robustness . In References and , the adaptive control and output feedback one were, respectively, studied by using disturbance‐observer method.…”

“…Especially to achieve noise suppression and disturbance attenuation, Reference utilized a modified DOBC structure to propose the robust controller. Meanwhile, since the disturbances widely exist in communication networks, many methods have been proposed to study the disturbed NCSs . In Reference , by utilizing robust adaptive sliding mode control, an observer was designed to estimate the disturbance in switching NCSs.…”

“…In Reference , the observer‐based robust tracking control was studied to tackle communication constraints. Considering the bounded disturbance, Reference studied the output feedback model predictive control for T‐S fuzzy NCSs with data quantization and dropouts. In Reference , a double‐disturbance observer design was presented to estimate and compensate for disturbance and communication delay in wireless NCSs.…”

A robust and accurate disturbance damping control design for nonlinear dynamical systems

“…In the work of Gao and Cai, a nonlinear disturbance observer‐based MPC algorithm was suggested for linear dynamics of a generic hypersonic vehicle in the presence of external disturbance. Tang et al, investigated an observer‐based output‐feedback MPC for T‐S fuzzy systems. In the work of Yang et al, a prediction accuracy enhanced continuous time MPC based on disturbance observer was designed.…”