Optimal Control of Switched Autonomous Systems

Liu, Chongyang; Gong, Zhenfeng

doi:10.1007/978-3-662-43793-3_6

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…A switched model can be considered a hybrid system by declaring the properties of discrete events to switching samples. Optimal control for switched autonomous systems is observed in [35]. An adaptive control scheme is studied for switched nonlinear systems with unstable subsystems in [36].…”

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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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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show abstract

“…There is growing concern about the switched systems which possess hybrid dynamic features, composing of a finite number of subsystems described by continuous‐time or discrete‐time dynamics and a switching signal governing the switching among them, see [1, 2]. It is inevitable to encounter various stochastic factors when a system runs, which yields that stochastic models are more suitable to describe real systems.…”

Section: Introductionmentioning

confidence: 99%

Moment exponential input‐to‐state stability of non‐linear switched stochastic systems with Lévy noise

Deng

2018

IET Control Theory & Applications

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Approximately Optimal Control of Discrete-Time Nonlinear Switched Systems Using Globalized Dual Heuristic Programming

Kaiju

Ren

et al. 2020

Neural Process Lett

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Optimal Control of Switched Autonomous Systems

Cited by 4 publications

References 10 publications

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

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

Moment exponential input‐to‐state stability of non‐linear switched stochastic systems with Lévy noise

Approximately Optimal Control of Discrete-Time Nonlinear Switched Systems Using Globalized Dual Heuristic Programming

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