Robust optimal control for constrained uncertain switched systems subjected to input saturation: the adaptive event-triggered case

Zhao, Shangwei; Wang, Jingcheng

doi:10.1007/s11071-022-07624-y

Cited by 14 publications

(5 citation statements)

References 42 publications

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“…Meanwhile, the concept of optimality is not considered during the design process of u a . Hence, if a suitable finite-horizon optimal controller can be designed for system (27), the first term of ( 33) is guaranteed to be negative, and the whole closed-loop system can be stable during the finite interval [0, t f ]. Furthermore, the tracking control of (6) can be converted into a finite-horizon optimal stabilization control of (27).…”

Section: Feedforward Controller Designmentioning

confidence: 99%

“…For example, the common ADP methods always construct a cost function in non-quadratic form to dispose input saturation problem, which will complicate the entire analysis process. 26,27 And the ADP based H ∞ control method can only handle the external disturbances in specific form. 28,29 Therefore, a high performance optimal tracking strategy need to be designed for optimal trajectory control of NSHV with multi-constraints.…”

Section: Introductionmentioning

confidence: 99%

“…However, considering the optimal trajectory control of NSHV system with multiple constraints, the existing ADP based optimal control schemes have certain limitations. For example, the common ADP methods always construct a cost function in non‐quadratic form to dispose input saturation problem, which will complicate the entire analysis process 26,27 . And the ADP based

{H}_{\infty }

control method can only handle the external disturbances in specific form 28,29 .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite‐horizon optimal trajectory control of near space hypersonic vehicle with multi‐constraints

Xia,

Bu,

Yan

et al. 2023

Optim Control Appl Methods

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In this article, a finite‐horizon optimal trajectory control strategy is developed for near space hypersonic vehicle (NSHV) longitudinal model with multi‐constraints including external disturbance, system modeling error, and input saturation. The whole control process has two parts: inner‐loop attitude control and outer‐loop trajectory control. First, the feedback linearization method is applied to design a tracking controller for outer‐loop system, and reference signals for inner‐loop attitude control can be obtained using Newton iteration method. Second, for the inner‐loop attitude system with multi‐constraints, a finite‐horizon optimal tracking control scheme consists of feedforward control input and adaptive dynamic programming based optimal feedback controller is designed. In this way, not only the adverse effects of above multi‐constraints are eliminated, but also the optimally tracking performances are guaranteed. Finally, the Lyapunov analysis method is utilized to ensure the stability of the entire closed‐loop control system, and simulation tests with respect to NSHV longitudinal trajectory tracking are supplied to verify the availability of the proposed strategy.

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Section: Feedforward Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

{H}_{\infty }

control method can only handle the external disturbances in specific form 28,29 .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite‐horizon optimal trajectory control of near space hypersonic vehicle with multi‐constraints

Xia,

Bu,

Yan

et al. 2023

Optim Control Appl Methods

View full text Add to dashboard Cite

show abstract

“…To overcome this difficulty, an observer has been integrated into the ADP framework to recover the system states from the measurable feedback [70]. Recently, considering control constraints and system uncertainties, the adaptively near-optimal control problem has been solved for the nonlinear system with the ISS attribute under an ETM-based GrADP framework [68] and the self-learning optimal regulation has been investigated in [72] for DT nonlinear systems.…”

Section: Adp Control With Event-triggering Protocolsmentioning

confidence: 99%

Adaptive Dynamic Programming for Networked Control Systems Under Communication Constraints: A Survey of Trends and Techniques

Wang¹,

Sun

Ding³

2022

IJNDI

111

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Survey/review study Adaptive Dynamic Programming for Networked Control Systems under Communication Constraints: A Survey of Trends and Techniques Xueli Wang 1, Ying Sun 1,*, and Derui Ding 2 1 Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China 2 School of Software and Electrical Engineering, Swinburne University of Technology, Melbourne 3122, Australia * Correspondence: yingsun1991@163.com Received: 22 September 2022 Accepted: 28 November 2022 Published: 22 December 2022 Abstract: The adaptive dynamic programming (ADP) technology has been widely used benefiting from its recursive structure in forward and the prospective conception of reinforcement learning. Furthermore, ADP-based control issues with communication constraints arouse ever-increasing research consideration in theoretical analysis and engineering applications due mainly to the wide participation of digital communications in industrial systems. The latest development of ADP-based optimal control with communication constraints is systematically surveyed in this paper. To this end, the development of ADP-based dominant methods is first investigated from their structures and implementation. Then, technical challenges and corresponding approaches are comprehensively and thoroughly discussed and the existing results are reviewed according to the constraint types. Furthermore, some applications of the ADP method in practical systems are summarized. Finally, future topics are lighted on ADP-based control issues.

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“…Switched systems are the most commonly used hybrid system models for applying optimal control methods [26,[30][31][32][33][34]. A switched model can be considered a hybrid system by declaring the properties of discrete events to switching samples.…”

Section: Introductionmentioning

confidence: 99%

Small‐gain based stabilizing control for hybrid systems: Application to bipedal walking robot

Khademian,

Rahmani

2024

IET Control Theory & Appl

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This study presents a systematic methodology for developing a stabilizing controller for a general hybrid systems model. The approach is based on utilizing the small‐gain theorem as a means of constructing the Lyapunov function and analyzing the input–output stability of the subsystems in the feedback loop. By considering the control system in a closed‐loop configuration with the hybrid system, the small‐gain theorem can be applied. In this scheme, a dynamic control system is proposed that satisfies the closed‐loop stability conditions. This method applies to various hybrid systems' applications due to its generality. To demonstrate the effectiveness and performance of the proposed control approach, two simulation examples, including a linear hybrid system and a bipedal walking robot, are examined.

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Robust optimal control for constrained uncertain switched systems subjected to input saturation: the adaptive event-triggered case

Cited by 14 publications

References 42 publications

Finite‐horizon optimal trajectory control of near space hypersonic vehicle with multi‐constraints

Finite‐horizon optimal trajectory control of near space hypersonic vehicle with multi‐constraints

Adaptive Dynamic Programming for Networked Control Systems Under Communication Constraints: A Survey of Trends and Techniques

Small‐gain based stabilizing control for hybrid systems: Application to bipedal walking robot

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