The core task ofAdaptive critic tracking controlTracking control is to make the controlled plant track a desired trajectoryDesired trajectory. The traditional performance indexPerformance index used in previous studies cannot eliminate completely the tracking errorTracking error as the number of time steps increases. In this chapter, a new cost functionCost function is introduced to develop the value-iteration-based adaptive criticAdaptive critic framework to solve the tracking controlTracking control problem. Unlike the regulator problem, the iterative value functionIterative value function of tracking controlTracking control problem cannot be regarded as a Lyapunov functionLyapunov function. A novel stability analysis method is developed to guarantee that the tracking errorTracking error converges to zero. The discounted iterative scheme under the new cost functionCost function for the special case of linear systems is elaborated. Finally, the tracking performance of the present scheme is demonstrated by numerical results and compared with that of the traditional approaches.
Adaptive Critic with Improved Cost for Discounted Tracking and Novel Stability Proof
Intelligent Control & Learning Systems
Advanced Optimal Control and Applications Involving Critic Intelligence ; Chapter : 7 ; 173-196
2023-01-22
24 pages
Article/Chapter (Book)
Electronic Resource
English
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