Adaptive dynamic programming for control: algorithms and stability
<p>There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, <i>Adaptive Dynamic Programming for Control</i> approaches the challenging topic of optimal control for nonlinear systems using the tools of a...
Saved in:
| Format: | Electronic eBook |
|---|---|
| Language: | English |
| Published: |
London [u.a.]
Springer
2013
|
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Summary: | <p>There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, <i>Adaptive Dynamic Programming for Control</i> approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. |
| Item Description: | Optimal Stabilization Control for Discrete-time Systems -- Optimal Tracking Control for Discrete-time Systems -- Optimal Stabilization Control for Nonlinear Systems with Time Delays -- Optimal Tracking Control for Nonlinear Systems with Time-delays -- Optimal Feedback Control for Continuous-time Systems via ADP -- Several Special Optimal Feedback Control Designs Based on ADP -- Zero-sum Games for Discrete-time Systems Based on Model-free ADP -- Nonlinear Games for a Class of Continuous-time Systems Based on ADP -- Other Applications of ADP. |
| Physical Description: | 1 Online-Ressource (XV, 424 p. 163 illus., 5 illus. in color) |
| ISBN: | 9781447147572 |
| DOI: | 10.1007/978-1-4471-4757-2 |
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| adam_text | ADAPTIVE DYNAMIC PROGRAMMING FOR CONTROL
/ ZHANG, HUAGUANG
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
OPTIMAL STABILIZATION CONTROL FOR DISCRETE-TIME SYSTEMS
OPTIMAL TRACKING CONTROL FOR DISCRETE-TIME SYSTEMS
OPTIMAL STABILIZATION CONTROL FOR NONLINEAR SYSTEMS WITH TIME DELAYS
OPTIMAL TRACKING CONTROL FOR NONLINEAR SYSTEMS WITH TIME-DELAYS
OPTIMAL FEEDBACK CONTROL FOR CONTINUOUS-TIME SYSTEMS VIA ADP
SEVERAL SPECIAL OPTIMAL FEEDBACK CONTROL DESIGNS BASED ON ADP
ZERO-SUM GAMES FOR DISCRETE-TIME SYSTEMS BASED ON MODEL-FREE ADP
NONLINEAR GAMES FOR A CLASS OF CONTINUOUS-TIME SYSTEMS BASED ON ADP
OTHER APPLICATIONS OF ADP.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ADAPTIVE DYNAMIC PROGRAMMING FOR CONTROL
/ ZHANG, HUAGUANG
: 2013
ABSTRACT / INHALTSTEXT
THERE ARE MANY METHODS OF STABLE CONTROLLER DESIGN FOR NONLINEAR
SYSTEMS. IN SEEKING TO GO BEYOND THE MINIMUM REQUIREMENT OF STABILITY,
ADAPTIVE DYNAMIC PROGRAMMING FOR CONTROL APPROACHES THE CHALLENGING
TOPIC OF OPTIMAL CONTROL FOR NONLINEAR SYSTEMS USING THE TOOLS OF
ADAPTIVE DYNAMIC PROGRAMMING (ADP). THE RANGE OF SYSTEMS TREATED IS
EXTENSIVE; AFFINE, SWITCHED, SINGULARLY PERTURBED AND TIME-DELAY
NONLINEAR SYSTEMS ARE DISCUSSED AS ARE THE USES OF NEURAL NETWORKS AND
TECHNIQUES OF VALUE AND POLICY ITERATION.THE TEXT FEATURES THREE MAIN
ASPECTS OF ADP IN WHICH THE METHODS PROPOSED FOR STABILIZATION AND FOR
TRACKING AND GAMES BENEFIT FROM THE INCORPORATION OF OPTIMAL CONTROL
METHODS: • INFINITE-HORIZON CONTROL FOR WHICH THE DIFFICULTY OF
SOLVING PARTIAL DIFFERENTIAL HAMILTON–JACOBI–BELLMAN EQUATIONS
DIRECTLY IS OVERCOME, AND PROOF PROVIDED THAT THE ITERATIVE VALUE
FUNCTION UPDATING SEQUENCE CONVERGES TO THE INFIMUM OF ALL THE VALUE
FUNCTIONS OBTAINED BY ADMISSIBLE CONTROL LAW SEQUENCES; •
FINITE-HORIZON CONTROL, IMPLEMENTED IN DISCRETE-TIME NONLINEAR SYSTEMS
SHOWING THE READER HOW TO OBTAIN SUBOPTIMAL CONTROL SOLUTIONS WITHIN A
FIXED NUMBER OF CONTROL STEPS AND WITH RESULTS MORE EASILY APPLIED IN
REAL SYSTEMS THAN THOSE USUALLY GAINED FROM INFINTE-HORIZON CONTROL; •
NONLINEAR GAMES FOR WHICH A PAIR OF MIXED OPTIMAL POLICIES ARE DERIVED
FOR SOLVING GAMES BOTH WHEN THE SADDLE POINT DOES NOT EXIST, AND, WHEN
IT DOES, AVOIDING THE EXISTENCE CONDITIONS OF THE SADDLE
POINT.NON-ZERO-SUM GAMES ARE STUDIED IN THE CONTEXT OF A SINGLE NETWORK
SCHEME IN WHICH POLICIES ARE OBTAINED GUARANTEEING SYSTEM STABILITY AND
MINIMIZING THE INDIVIDUAL PERFORMANCE FUNCTION YIELDING A NASH
EQUILIBRIUM. IN ORDER TO MAKE THE COVERAGE SUITABLE FOR THE STUDENT AS
WELL AS FOR THE EXPERT READER, ADAPTIVE DYNAMIC PROGRAMMING FOR CONTROL:
• ESTABLISHES THE FUNDAMENTAL THEORY INVOLVED CLEARLY WITH EACH
CHAPTER DEVOTED TO A CLEARLY IDENTIFIABLE CONTROL PARADIGM; •
DEMONSTRATES CONVERGENCE PROOFS OF THE ADP ALGORITHMS TO DEEPEN
UNDERTSTANDING OF THE DERIVATION OF STABILITY AND CONVERGENCE WITH THE
ITERATIVE COMPUTATIONAL METHODS USED; AND • SHOWS HOW ADP METHODS CAN
BE PUT TO USE BOTH IN SIMULATION AND IN REAL APPLICATIONS. THIS TEXT
WILL BE OF CONSIDERABLE INTEREST TO RESEARCHERS INTERESTED IN OPTIMAL
CONTROL AND ITS APPLICATIONS IN OPERATIONS RESEARCH, APPLIED MATHEMATICS
COMPUTATIONAL INTELLIGENCE AND ENGINEERING.GRADUATE STUDENTS WORKING IN
CONTROL AND OPERATIONS RESEARCH WILL ALSO FIND THE IDEAS PRESENTED HERE
TO BE A SOURCE OF POWERFUL METHODS FOR FURTHERING THEIR STUDY. THE
COMMUNICATIONS AND CONTROL ENGINEERING SERIES REPORTS MAJOR
TECHNOLOGICAL ADVANCES WHICH HAVE POTENTIAL FOR GREAT IMPACT IN THE
FIELDS OF COMMUNICATION AND CONTROL. IT REFLECTS RESEARCH IN INDUSTRIAL
AND ACADEMIC INSTITUTIONS AROUND THE WORLD SO THAT THE READERSHIP CAN
EXPLOIT NEW POSSIBILITIES AS THEY BECOME AVAILABLE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| indexdate | 2025-02-20T07:02:39Z |
| institution | BVB |
| isbn | 9781447147572 |
| language | English |
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| physical | 1 Online-Ressource (XV, 424 p. 163 illus., 5 illus. in color) |
| psigel | ZDB-2-ENG |
| publishDate | 2013 |
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| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering |
| spellingShingle | Adaptive dynamic programming for control algorithms and stability Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Systems theory Mathematical optimization |
| title | Adaptive dynamic programming for control algorithms and stability |
| title_auth | Adaptive dynamic programming for control algorithms and stability |
| title_exact_search | Adaptive dynamic programming for control algorithms and stability |
| title_full | Adaptive dynamic programming for control algorithms and stability Huaguang Zhang ... |
| title_fullStr | Adaptive dynamic programming for control algorithms and stability Huaguang Zhang ... |
| title_full_unstemmed | Adaptive dynamic programming for control algorithms and stability Huaguang Zhang ... |
| title_short | Adaptive dynamic programming for control |
| title_sort | adaptive dynamic programming for control algorithms and stability |
| title_sub | algorithms and stability |
| topic | Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Systems theory Mathematical optimization |
| topic_facet | Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Systems theory Mathematical optimization |
| url | https://doi.org/10.1007/978-1-4471-4757-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025666734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025666734&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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