On the nonlinear output regulation for systems described by Takagi-Sugeno fuzzy descriptor models with a steady-state mapping as an LMI optimization problem

This paper is devoted to provide a numerical solution the nonlinear output regulation problem for descriptor systems. The control law under design is a nonlinear one, it consists on a nonlinear stabilizer combined with linear steady-state mapping as well as nonlinear steady-state input mapping; all of them are computed via linear matrix inequalities. A numerical example as well as a mechanical system as well are used to illustrate the viability of the proposed approach.

Output regulation for switched discrete-time systems with output signal quantization

This paper investigates the output regulation problem for switched discrete-time systems with output quantization. We adopt the quantized output in feedback controllers and allow each subsystem to have its own quantization density, so that the communication network can be efficiently utilized. By using the different coordinates transformation, the solvability of the output regulation problem is guaranteed under deigned output feedback controllers with the switching signals satisfying a dwell time constraint. In the simulation, a pulse-width modulation driven boost converter model is employed to validate the result.

Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach

This paper investigates the preview tracking problem for discrete-time multirate systems under the scenario of the external signals with amplitude non-attenuation. Since the input and the state cannot be measured at the same time, the multirate system is first lifted into the single-rate system. Noting that the external signals are previewable and their amplitudes are unattenuated, an auxiliary system with preview information and a dynamic compensator with internal model are introduced, respectively. On this basis, the preview tracking problem can be converted to the output regulation problem of an augmented system with the aid of the state augmentation technique. Through verifying the solvability of the output regulation problem, the sufficient conditions and the corresponding controller with preview action and feedforward compensation are presented for the output regulation problem as well as the original problem. Finally, a numeric simulation result is provided to verify the validity of the proposed method.

Research on Cooperative Output Regulation Problem of Multi-Agent Systems with Time-Varying Delay under Dynamic Topology

The random data loss that occurs during the communication process of multi-agent systems will lead to the dynamic switching of network topology. The time-varying communication delay will cause the agents to update their control inputs irregularly and asynchronously. In this paper, we deal with the cooperative output regulation problem of multi-agent systems with both random data loss and time-varying communication delay. By applying a queuing mechanism, the multi-agent systems with time-varying communication delay can be modeled as the multi-agent systems with constant communication delay and stochastic packet dropout. Based on the queuing mechanism, we designed the distributed state observers of the leader and the followers. Then, a new distributed measurement output feedback control algorithm is proposed. Under some standard assumptions, the proposed algorithm can solve the cooperative output regulation problem of multi-agent systems with both stochastic packet dropout and time-varying communication delay for unstable or stable exosystem. Then, the corresponding conditions for solving the cooperative output regulation problem are given, respectively. The simulation results show that the measurement output feedback control algorithm based on queue mechanism can effectively solve the cooperative output regulation problem of multi agent systems with time-varying delay under dynamic network topology.

Performance Output Tracking for a One-Dimensional Wave-Heat Cascade System with Unmatched Disturbance

The objective of this paper is to solve the performance output regulation problem for a wave-heat cascade system with unmatched disturbance. Applying the series expansion, the auxiliary trajectory for the cascade system is constructed and the unmatched disturbance is rejected. Meanwhile, the controller and observer only based on error signal are designed, and the performance output regulation problem is solved. Under the control feedback, the performance output can track the reference signal, and the regulation error goes to zero asymptotically. Finally, some numerical simulations are presented for illustration.