Observed-based event-triggered control for nonlinear systems with disturbances using adaptive dynamic programming

Hu, Chuanhao; Zou, Yuanyuan; Li, Shaoyuan

doi:10.23919/ccc50068.2020.9189665

Cited by 3 publications

(6 citation statements)

References 14 publications

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“…In order to obtain the optimal control policy, we define the Hamiltonian for the optimal performance index ( 12) along with the nominal system (8), which can be given by…”

Section: Reformulation Of Performance Indexmentioning

confidence: 99%

“…Theorem 1 Consider the nonlinear continuous-time system (1) with performance index function (9), and the event-sampled system is represented as (8). Suppose that Assumptions 1-5 hold and let β be selected to satisfy β 2 > λ max (R).…”

Section: Assumptionmentioning

confidence: 99%

“…Theorem 2 Consider the nonlinear event-sampled system (8). Let Assumptions 1-5 be valid and the control policy be given by (17) for ∀t ∈ [t j , t j+1 ), j ∈ N. Then, the closed-loop system (1) can be guaranteed to be UUB if the triggering instants are determined by…”

Section: Lemma 2 If the Inequality Given Bymentioning

confidence: 99%

“…Theorem 3 Consider the nonlinear event-sampled system (8) along with a critic NN (79). Suppose that Assumptions 1-6 hold and the initial control policy is admissible.…”

Section: Assumptionmentioning

confidence: 99%

“…This implies that proposed STC scheme leads to sub-optimal sampling intervals compared with ETC strategy. In order to verify the advantage of the co-optimization design developed in this paper, we conduct this example under the existing ETC method [8] with the same parameter settings. The comparison of the state trajectories, cumulative sampled numbers and the cumulative cost among different triggering mechanisms is presented in Figs.…”

Section: Self-triggered Mechanismmentioning

confidence: 99%

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Triggering and Control Co-design of Nonlinear Systems with External Disturbances Using Adaptive Dynamic Programming

Zou

2021

Circuits Syst Signal Process

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This paper proposes a joint optimization strategy for nonlinear systems subject to unknown external disturbances. The co-design problem is formulated as a two-player zero-sum game, where the control policy is treated as the first player and the control input error caused by aperiodic feedback is treated as the second player. Besides, a robust term is incorporated to the performance index to suppress the negative effect of external disturbances. Based on the game theory, the optimal performance index and the solution to the associated Hamilton-Jacobi-Isaacs (HJI) equation can be obtained. Then, the sampling intervals are optimized by designing an event-triggered condition according to Lyapunov direct method. Furthermore, a self-triggered strategy is introduced to predict the next triggering instant in advance, avoiding the requirement of continuous state measurements. Through critic-only neural network (NN) implementation, the event-based HJI equation is approximated by using adaptive dynamic programming technique. The closed-loop nonlinear system and the weight estimation error for the critic NN are both guaranteed to be uniformly ultimately bounded under the proposed aperiodic sampling mechanism. Finally, simulation results and comparison studies demonstrate the effectiveness of the proposed co-design approach.

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“…In order to obtain the optimal control policy, we define the Hamiltonian for the optimal performance index ( 12) along with the nominal system (8), which can be given by…”

Section: Reformulation Of Performance Indexmentioning

confidence: 99%

Section: Assumptionmentioning

confidence: 99%

Section: Lemma 2 If the Inequality Given Bymentioning

confidence: 99%

“…Theorem 3 Consider the nonlinear event-sampled system (8) along with a critic NN (79). Suppose that Assumptions 1-6 hold and the initial control policy is admissible.…”

Section: Assumptionmentioning

confidence: 99%

Section: Self-triggered Mechanismmentioning

confidence: 99%

See 3 more Smart Citations

Triggering and Control Co-design of Nonlinear Systems with External Disturbances Using Adaptive Dynamic Programming

Zou

2021

Circuits Syst Signal Process

Self Cite

View full text Add to dashboard Cite

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Event-Triggered Anti-disturbance Controller Design for Networked Control Systems with Exogenous Disturbances

Zhou

Adnan

et al. 2022

2022 41st Chinese Control Conference (CCC)

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Event-Triggered Single-Network ADP for Zero-Sum Game of Unknown Nonlinear Systems with Constrained Input

Peng

Cui

et al. 2023

Applied Sciences

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In this paper, an event-triggered adaptive dynamic programming (ADP) method is proposed to deal with the H∞ problem with unknown dynamic and constrained input. Firstly, the H∞-constrained problem is regarded as the two-player zero-sum game with the nonquadratic value function. Secondly, we develop the event-triggered Hamilton–Jacobi–Isaacs(HJI) equation, and an event-triggered ADP method is proposed to solve the HJI equation, which is equivalent to solving the Nash saddle point of the zero-sum game. An event-based single-critic neural network (NN) is applied to obtain the optimal value function, which reduces the communication resource and computational cost of algorithm implementation. For the event-triggered control, a triggering condition with the level of disturbance attenuation is developed to limit the number of sampling states, and the condition avoids Zeno behavior by proving the existence of events with minimum triggering interval. It is proved theoretically that the closed-loop system is asymptotically stable, and the critic NN weight error is uniformly ultimately boundedness (UUB). The learning performance of the proposed algorithm is verified by two examples.

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Observed-based event-triggered control for nonlinear systems with disturbances using adaptive dynamic programming

Cited by 3 publications

References 14 publications

Triggering and Control Co-design of Nonlinear Systems with External Disturbances Using Adaptive Dynamic Programming

Triggering and Control Co-design of Nonlinear Systems with External Disturbances Using Adaptive Dynamic Programming

Event-Triggered Anti-disturbance Controller Design for Networked Control Systems with Exogenous Disturbances

Event-Triggered Single-Network ADP for Zero-Sum Game of Unknown Nonlinear Systems with Constrained Input

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