Output regulation for switched LPV systems with Markovian jump parameters and its application

Abstract

This paper deals with the output regulation problem for switched linear parameter-varying (LPV) systems with Markovian jump parameters under partially unknown transition probabilities. Our aim is to find a feedback controller, such that the regulated output asymptotically converges to zero and the closed-loop system is stochastically stable when [Formula: see text]. Firstly, we give sufficient conditions for the solvability of the output regulation problem. Then, using the parameter-dependent stochastic Lyapunov functions method, we design a state feedback controller and a regulation observer-based controller for individual switched LPV subsystems to solve the output regulation problem for the given systems. Finally, the output regulation problem of an aero-engine model is investigated, and the effectiveness of the proposed control design scheme is illustrated by its application to a speed regulation problem of an aero-engine.

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

“…Therefore, it is essential to study the quantization control for switched discrete-time systems (SDTSs) (Li and Zhao, 2013). In addition, different from the stabilization problem, the output regulation problem (ORP), aiming at the reference inputs tracking and the disturbance rejection (Huang, 2004; Liu and Huang, 2019; Wang and Zhao, 2019; Yang et al, 2018), is more interesting and complex. To the best of our knowledge, there is no result for the quantization control of SDTSs about the ORP.…”

Composite hierarchical control for Markovian jump systems with multiple disturbances and time-varying fault

“…Active fault-tolerant control effectively compensates faults to achieve the desired performance by constructing a controller based on fault diagnosis and identification. Recently, many works have focused on fault-tolerant control (Gao et al, 2017a,b; Li and Yang, 2012; Selvaraj et al, 2017; Tong et al, 2014; Wei et al, 2016; Yang et al, 2009, 2018) and covered a wide range of systems, such as fuzzy systems (Selvaraj et al, 2017; Tong et al, 2014), linear parameter-varying systems (Yang et al, 2018), uncertain linear systems (Gao et al, 2017b; Li and Yang, 2012; Yang et al, 2009) and Markovian jump systems (Gao et al, 2017a; Li et al, 2014). Meanwhile, for the fault estimate, there are many observer-based control methods, such as functional observer control (Mohajerpoor et al, 2015, 2017b), sliding mode observer-based fault-tolerant control (Li et al, 2014; Yin et al, 2017) and fault diagnosis observer control (Cao et al, 2011).…”