Get Adaptive Dynamic Programming for Control: Algorithms and PDF

System Theory

By Huaguang Zhang, Derong Liu, Yanhong Luo, Ding Wang

ISBN-10: 1447147561

ISBN-13: 9781447147565

ISBN-10: 144714757X

ISBN-13: 9781447147572

There are many tools of solid controller layout for nonlinear structures. In trying to transcend the minimal requirement of balance, Adaptive Dynamic Programming in Discrete Time ways the not easy subject of optimum keep an eye on for nonlinear platforms utilizing the instruments of adaptive dynamic programming (ADP). the variety of platforms taken care of is large; affine, switched, singularly perturbed and time-delay nonlinear platforms are mentioned as are the makes use of of neural networks and strategies of price and coverage generation. The textual content beneficial properties 3 major features of ADP within which the equipment proposed for stabilization and for monitoring and video games enjoy the incorporation of optimum regulate equipment:
• infinite-horizon keep watch over for which the trouble of fixing partial differential Hamilton–Jacobi–Bellman equations without delay is conquer, and facts only if the iterative price functionality updating series converges to the infimum of the entire worth services received through admissible keep an eye on legislation sequences;
• finite-horizon regulate, carried out in discrete-time nonlinear platforms displaying the reader tips on how to receive suboptimal keep an eye on recommendations inside of a set variety of keep watch over steps and with effects extra simply utilized in genuine structures than these often received from infinite-horizon regulate;
• nonlinear video games for which a couple of combined optimum rules are derived for fixing video games either while the saddle aspect doesn't exist, and, while it does, heading off the life stipulations of the saddle element.
Non-zero-sum video games are studied within the context of a unmarried community scheme during which guidelines are acquired ensuring procedure balance and minimizing the person functionality functionality yielding a Nash equilibrium.
In order to make the insurance compatible for the scholar in addition to for the specialist reader, Adaptive Dynamic Programming in Discrete Time:
• establishes the elemental concept concerned in actual fact with every one bankruptcy dedicated to a essentially identifiable regulate paradigm;
• demonstrates convergence proofs of the ADP algorithms to deepen figuring out of the derivation of balance and convergence with the iterative computational equipment used; and
• exhibits how ADP tools will be placed to exploit either in simulation and in actual purposes.
This textual content might be of substantial curiosity to researchers drawn to optimum keep watch over and its functions in operations study, utilized arithmetic computational intelligence and engineering. Graduate scholars operating on top of things and operations examine also will locate the information awarded right here to be a resource of robust equipment for furthering their study.

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Additional resources for Adaptive Dynamic Programming for Control: Algorithms and Stability

Sample text

1) is controllable in the sense that there exists at least a continuous control law on Ω that asymptotically stabilizes the system. We denote Ωu = {u(k) | u(k) = [u1 (k), u2 (k), . . , um (k)]T ∈ Rm , |ui (k)| ≤ u¯ i , i = 1, . . , m}, where u¯ i is the saturating bound for the ith actuator. Let U¯ ∈ Rm×m be the constant diagonal matrix given by U¯ = diag{u¯ 1 , u¯ 2 , . . , u¯ m }. In this subsection, we mainly discuss how to design an optimal state feedback controller for this class of constrained discrete-time systems.

IEEE Trans Syst Man Cybern, Part B, Cybern 38(4):988–993 65. Lu C, Si J, Xie X (2008) Direct heuristic dynamic programming for damping oscillations in a large power system. IEEE Trans Syst Man Cybern, Part B, Cybern 38(4):1008–1013 66. Lyshevski SE (2002) Optimization of dynamic systems using novel performance functionals. In: Proceedings of 41st IEEE conference on decision and control, Las Vegas, Nevada, pp 753–758 67. Malek-Zavarei M, Jashmidi M (1987) Time-delay systems: analysis, optimization and applications North-Holland, Amsterdam, pp 80–96 68.

Lu C, Si J, Xie X (2008) Direct heuristic dynamic programming for damping oscillations in a large power system. IEEE Trans Syst Man Cybern, Part B, Cybern 38(4):1008–1013 66. Lyshevski SE (2002) Optimization of dynamic systems using novel performance functionals. In: Proceedings of 41st IEEE conference on decision and control, Las Vegas, Nevada, pp 753–758 67. Malek-Zavarei M, Jashmidi M (1987) Time-delay systems: analysis, optimization and applications North-Holland, Amsterdam, pp 80–96 68. Murray JJ, Cox CJ, Lendaris GG, Saeks R (2002) Adaptive dynamic programming.

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Adaptive Dynamic Programming for Control: Algorithms and Stability by Huaguang Zhang, Derong Liu, Yanhong Luo, Ding Wang


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