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143 Hierarchical control for distributed-parameter systems — The application of PMCP approximation technique for hierarchical optimization of large-scale systems
171
Abstracts
138 On the Design of Decentralized Observers M. Hou, P.C. MOiler, pp 287-292 On the basis of an extended result of unknown input observers, an easy and systematic design procedure is Sented for decentralized linear state function observers. present problem formulation permits a rather general class of interconnected large-scale linear systems to be taken into consideration. When these decentralized observers are used within decentralized dynamical feedback controllers, the desired separation property of the overall closed-loop system is proved. Two design principles of decentralized observers are also presented for the case that the required perfect disturbance decoupling condition cannotbe satisfied.
139 Linear and Nonlinear Local State Feedback for Decentralized Stabilization of Stochastic Large Scale Systems Gong-You Tang, Zhao-Shu Feng, Yong-Qing Llu, pp 293-297 By introducing both linear and nonlinear local state feedback controllers, criteria are established for the decentralized stabilization of time-invariant and timevarying stochastic large-scale systems. These criteria are given by the hypotheses for diffusion coefficients and expressed by the matrix Riccati equations. In the timeinvariant case, the hypotheses for matrix Riccati equations can be ensured by the conditions of stabilizability and observability of the isolated stochastic subsystems.
140 Some Results on Nonlinear Decentralized Systems Feng Gao, Zheng-zhi Han, Zhong-jun Zhang, pp 299-303 This paper studies two design problems for nonlinear decentralized systems. Some criteria for decentralized disturbance decoupling (DDD) and decentralized linearization (DL) are given, via the differential geometry method.
141 The Structure Decomposition for Afflne Nonlinear Systems YI Zheng, Si-ying Zhang, pp 305-308 This paper mainly discusses the decomposition conditions for nonlinear systems. For a complex nonlinear system, if it can be decomposed into several simple parts, then this nonlinear system can be studied by studying the decomposed system.
142 Hierarchical Control of Large-Scale Time-Varying Systems via Modified Laguerre Polynomials Qlan Feng, Yu Jlnshou, Jiang Weisun, pp 309-314 This paper presents a new method of hierarchical control for large-scale time-varying systems with the final state restrictions in the quadratic performance criteria via the modified Laguerre polynomials. The proposed method and algorithms are simple in form and convenient for computation, which is especially attractive for the computation of large-scale problems. A numerical example is given to compare the solutions obtained by the hierarchical method with those obtained by the global method.
143 Hierarchical Control for Distributed-Parameter Systems - The Application of PMCP Approximation Technique for Hierarchical Optimization of Large-Scale Systems Gu Xlngsheng, Hu Yangzeng, Jiang Weisum, pp 315-320 Optimal control for distributed-parameter systerns is much more difficult than for lumped-parameter systems. Various approximation techniques have been studied. Their greatest problems are accuracy and computation time. In this paper, piecewise multiple Chebyshev polynomials are studied, and a new approach - PMCP approximation - is proposed for optimal control of distributed-parameter systems. The systems are converted into N interactive lumped linear sub-systems which usually have higher dimensions. Hierarchical control is used to design the optimal controllers. To simplify the design and avoid solving the continuous-time Riecati equations, the PMCP approximation method has again been adopted, and a wellposed algorithm has been obtained. Simulation results are satisfactory.
144 Hierarchical Models for the Time Delays of Command and Control (C2) Systems Jiacun Wang, Zhigang Wang, Zhitong Huang, Huanxln Xiong, pp 321-326 A hierarchical aggregation approach for the time delay analysis of a class of complex discrete-event systems whose activity durations are generally distributed is presented via stochastic Petri-net models. The basic idea is to turn the time delay research of a complex stochastic Petri-net model into that of several simple subnets. The Petri net of a generic naval C2 system is given, and its time delay characteristics are analyzed by using the algorithm developed in this paper. 145 Mechanical Networks Model for Analysis of Elasto-Plastic Truss Systems
Kesheng Wang, O. Bjerke, pp 327-334 This paper demonstrates how to solve a nonlinear system which contains elements with linear and nonlinear properties by the use of the mechanical networks model. A complete program written in the APL programming language is used here to solve a detailed numerical example of a truss system with ten nonlinear elements. The principles and concepts are easily understood, and the modelling, formulation and computation can be carried out systematically and consistently. This work aims to develop a general, unified and systematic theory and method which can be employed in the design process to analyze and synthesize a great variety of complex systems. The mechanical network model developed has proved to be ideal for this type of analysis. 146 Theoretical Modeling and Control Concept of a Multi-Axis Servo-Hydraulic Test Facility H. Hahn, K.-D. Leimbach, X. Zhang, pp 335-340 This paper presents a linear control theoretical investigation of a spatial multi-axis test facility with six servo-hydraulic actuators. Starting with a linear modeling of the control plant including the spatial equations of motion of the rigid test facility and the servo-hydraulic actuator dynamics, different control concepts are investigated. These are a standard single-axis P-controller concept using actuator displacement measurenaents, an extended multi-sensor control concept using measurements of the actuator displacements, velocities and accelerations, and a multi-axis decoupling control concept based on test facility degree-of-freedom measurements.
Abstracts
138 On the Design of Decentralized Observers M. Hou, P.C. MOiler, pp 287-292 On the basis of an extended result of unknown input observers, an easy and systematic design procedure is Sented for decentralized linear state function observers. present problem formulation permits a rather general class of interconnected large-scale linear systems to be taken into consideration. When these decentralized observers are used within decentralized dynamical feedback controllers, the desired separation property of the overall closed-loop system is proved. Two design principles of decentralized observers are also presented for the case that the required perfect disturbance decoupling condition cannotbe satisfied.
139 Linear and Nonlinear Local State Feedback for Decentralized Stabilization of Stochastic Large Scale Systems Gong-You Tang, Zhao-Shu Feng, Yong-Qing Llu, pp 293-297 By introducing both linear and nonlinear local state feedback controllers, criteria are established for the decentralized stabilization of time-invariant and timevarying stochastic large-scale systems. These criteria are given by the hypotheses for diffusion coefficients and expressed by the matrix Riccati equations. In the timeinvariant case, the hypotheses for matrix Riccati equations can be ensured by the conditions of stabilizability and observability of the isolated stochastic subsystems.
140 Some Results on Nonlinear Decentralized Systems Feng Gao, Zheng-zhi Han, Zhong-jun Zhang, pp 299-303 This paper studies two design problems for nonlinear decentralized systems. Some criteria for decentralized disturbance decoupling (DDD) and decentralized linearization (DL) are given, via the differential geometry method.
141 The Structure Decomposition for Afflne Nonlinear Systems YI Zheng, Si-ying Zhang, pp 305-308 This paper mainly discusses the decomposition conditions for nonlinear systems. For a complex nonlinear system, if it can be decomposed into several simple parts, then this nonlinear system can be studied by studying the decomposed system.
142 Hierarchical Control of Large-Scale Time-Varying Systems via Modified Laguerre Polynomials Qlan Feng, Yu Jlnshou, Jiang Weisun, pp 309-314 This paper presents a new method of hierarchical control for large-scale time-varying systems with the final state restrictions in the quadratic performance criteria via the modified Laguerre polynomials. The proposed method and algorithms are simple in form and convenient for computation, which is especially attractive for the computation of large-scale problems. A numerical example is given to compare the solutions obtained by the hierarchical method with those obtained by the global method.
143 Hierarchical Control for Distributed-Parameter Systems - The Application of PMCP Approximation Technique for Hierarchical Optimization of Large-Scale Systems Gu Xlngsheng, Hu Yangzeng, Jiang Weisum, pp 315-320 Optimal control for distributed-parameter systerns is much more difficult than for lumped-parameter systems. Various approximation techniques have been studied. Their greatest problems are accuracy and computation time. In this paper, piecewise multiple Chebyshev polynomials are studied, and a new approach - PMCP approximation - is proposed for optimal control of distributed-parameter systems. The systems are converted into N interactive lumped linear sub-systems which usually have higher dimensions. Hierarchical control is used to design the optimal controllers. To simplify the design and avoid solving the continuous-time Riecati equations, the PMCP approximation method has again been adopted, and a wellposed algorithm has been obtained. Simulation results are satisfactory.
144 Hierarchical Models for the Time Delays of Command and Control (C2) Systems Jiacun Wang, Zhigang Wang, Zhitong Huang, Huanxln Xiong, pp 321-326 A hierarchical aggregation approach for the time delay analysis of a class of complex discrete-event systems whose activity durations are generally distributed is presented via stochastic Petri-net models. The basic idea is to turn the time delay research of a complex stochastic Petri-net model into that of several simple subnets. The Petri net of a generic naval C2 system is given, and its time delay characteristics are analyzed by using the algorithm developed in this paper. 145 Mechanical Networks Model for Analysis of Elasto-Plastic Truss Systems
Kesheng Wang, O. Bjerke, pp 327-334 This paper demonstrates how to solve a nonlinear system which contains elements with linear and nonlinear properties by the use of the mechanical networks model. A complete program written in the APL programming language is used here to solve a detailed numerical example of a truss system with ten nonlinear elements. The principles and concepts are easily understood, and the modelling, formulation and computation can be carried out systematically and consistently. This work aims to develop a general, unified and systematic theory and method which can be employed in the design process to analyze and synthesize a great variety of complex systems. The mechanical network model developed has proved to be ideal for this type of analysis. 146 Theoretical Modeling and Control Concept of a Multi-Axis Servo-Hydraulic Test Facility H. Hahn, K.-D. Leimbach, X. Zhang, pp 335-340 This paper presents a linear control theoretical investigation of a spatial multi-axis test facility with six servo-hydraulic actuators. Starting with a linear modeling of the control plant including the spatial equations of motion of the rigid test facility and the servo-hydraulic actuator dynamics, different control concepts are investigated. These are a standard single-axis P-controller concept using actuator displacement measurenaents, an extended multi-sensor control concept using measurements of the actuator displacements, velocities and accelerations, and a multi-axis decoupling control concept based on test facility degree-of-freedom measurements.