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Event-Triggered Adaptive Optimal Control With Output Feedback: An Adaptive Dynamic Programming Approach

Fuyu Zhao, Weinan Gao, Zhong‐Ping Jiang, Tengfei Liu

2020IEEE Transactions on Neural Networks and Learning Systems67 citationsDOI

Abstract

This article presents an event-triggered output-feedback adaptive optimal control method for continuous-time linear systems. First, it is shown that the unmeasurable states can be reconstructed by using the measured input and output data. An event-based feedback strategy is then proposed to reduce the number of controller updates and save communication resources. The discrete-time algebraic Riccati equation is iteratively solved through event-triggered adaptive dynamic programming based on both policy iteration (PI) and value iteration (VI) methods. The convergence of the proposed algorithm and the closed-loop stability is carried out by using the Lyapunov techniques. Two numerical examples are employed to verify the effectiveness of the design methodology.

Topics & Concepts

Control theory (sociology)Dynamic programmingAlgebraic Riccati equationComputer scienceConvergence (economics)Controller (irrigation)Adaptive controlLyapunov functionOptimal controlMathematical optimizationDiscrete time and continuous timeStability (learning theory)Event (particle physics)Riccati equationControl (management)MathematicsNonlinear systemDifferential equationMathematical analysisQuantum mechanicsEconomicsEconomic growthAgronomyPhysicsStatisticsBiologyArtificial intelligenceMachine learningAdaptive Dynamic Programming ControlFrequency Control in Power SystemsMechanical Circulatory Support Devices