A new control method for state-constrained nonlinear switched systems with application to chemical process

Summary This paper investigates the global finite‐time stabilization for a class of high‐order switched nonlinear systems via the sampled‐data output feedback control. Firstly, we design a continuous‐time output feedback controller for the nominal part via adding a power integrator technique. Based on the homogeneous theory, together with the Gronwall‐Bellman inequality, a sampled‐data output feedback controller is designed with suitable sampling periods to ensure that the closed‐loop system can be globally stabilized in finite time. In the meantime, the proposed control method can be extended to the switched nonlinear systems with an upper‐triangular growth condition. Finally, two examples are presented to illustrate the validity of the proposed control scheme.

Section: Introductionmentioning

confidence: 99%

Global finite‐time stabilization for a class of high‐order switched nonlinear systems via sampled‐data control

Jiang

Zhai

2019

“…Switched systems consist of several subsystems along with a switching rule that orchestrates the switching among these subsystems . Recently, numerous researchers have focused on switched systems since they can appropriately model many complex systems such as constrained robotics, chemical processes, manufacturing systems, multiagent systems, aircraft control, automotive engine control, and so on …”

Section: Introductionmentioning

confidence: 99%

Design proportional‐integral‐derivative/proportional‐derivative controls for second‐order time‐varying switched nonlinear systems

She

Zhang

et al. 2019

Summary Based on proportional‐integral‐derivative (PID)/PD controls, we in the article investigate the tracking problem of a class of second‐order time‐varying switched nonlinear systems. To start with, for tracking a given point under arbitrary switching signals, we propose a sufficient condition about PID controller parameters, which can be implicitly described as semialgebraic sets. Successively, we consider the tracking problem under average dwell time (ADT)‐based switching signals and propose an alternative sufficient condition about PID controller parameters. Especially, for tracking an equilibrium point of the system without controls, we can further simply utilize the proportional‐derivative control and similarly construct corresponding semialgebraic conditions about proportional‐derivative controller parameters under arbitrary switching signals and ADT‐based switching signals. Finally, two examples are given to show the applicability of our theoretical results.

“…Then, similarly to step 1, there exist smooth functions 2 (̃1 ,x 2 ,̂1,̂2 ) and 2 j ( 2 ) > 0 such that the common stabilization function can be selected as 2 (…”

Section: Assumptionmentioning

confidence: 99%

“…In the last 2 decades, switched nonlinear systems have received more and more attentions due to the fact that a great number of real-world systems, such as networked control systems, 1 chemical process, 2 and aero-engine control systems, 3 can be modeled as switched nonlinear systems. Stability analysis and stabilizing controller design are important issues in the study of switched systems.…”

Section: Introductionmentioning

confidence: 99%

Immersion‐ and invariance‐based adaptive stabilization of switched nonlinear systems

Lou

Zhao

2017

SummaryThis paper presents a novel framework to asymptotically adaptively stabilize a class of switched nonlinear systems with constant linearly parameterized uncertainty. By exploiting the generalized multiple Lyapunov functions method and the recently developed immersion and invariance (I&I) technique, which does not invoke certainty equivalence, we design the error estimator, continuous state feedback controllers for subsystems, and a switching law to ensure boundedness of all closed-loop signals and global asymptotical regulation of the states, where the solvability of the I&I adaptive stabilization problem for individual subsystems is not required. Then, along with the backstepping method, the proposed design technique is further applied to a class of switched nonlinear systems in strict-feedback form with an unknown constant parameter so that the I&I adaptive stabilization controllers for the system is developed. Finally, simulation results are also provided to demonstrate the effectiveness of the proposed design method.