An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems

Song, Chunyue; Wu, Bing; Zhao, Jun; Li, Ping

doi:10.1016/j.jprocont.2014.10.010

Cited by 30 publications

(24 citation statements)

References 41 publications

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“…The solution is iteration with the continuous states are sampled for each discrete state. More details about the method for evaluating the value function are provided in [15].…”

Section: Value Function and State Space Partitionmentioning

confidence: 99%

“…CSTRs are common chemical devices and this process is a nonlinear system with multiple operating points. It is also considered by [15] and can be modeled by the following differential equations: …”

Section: A Case Studymentioning

confidence: 99%

“…However, this method aims on stability firstly which makes it conservative in control performance. [15] develops a new systematic method of integrated state space partition and controller design based on hybrid systems optimal control problem. However, it is not applicable when the states are unknown due to the requirement of optimization on-line.…”

Section: Introductionmentioning

confidence: 99%

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An integrated state space partition and optimal control method of multi-model for nonlinear systems with state estimation

Xia

Song

2015

The 27th Chinese Control and Decision Conference (2015 CCDC)

Self Cite

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Linear analysis and control system are more popular and simple, which leads to the popularity of dealing with complex systems by multiple model approaches. To answer the question that how to obtain the optimal boundaries between the ranges where the submodels are active, a systematic method of state space partition based on closed-loop systems by hybrid systems optimal control theory is utilized. Additionally, a MLD-based MPC controller with corresponding optimal control problem is designed. In order to address the puzzle brought by unavailable states, this paper also develops an adaptive EKF estimator for the PWA model with fictitious noises. By applying this whole strategy to a CSTR process, the simulation demonstrates a satisfactory result.

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“…The solution is iteration with the continuous states are sampled for each discrete state. More details about the method for evaluating the value function are provided in [15].…”

Section: Value Function and State Space Partitionmentioning

confidence: 99%

Section: A Case Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An integrated state space partition and optimal control method of multi-model for nonlinear systems with state estimation

Xia

Song

2015

The 27th Chinese Control and Decision Conference (2015 CCDC)

Self Cite

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show abstract

“…A bank of reduced-order Luenberger observers is designed in [7] to locate a specific fault source. The hybrid system-based combination of state-space partition and optimal control of multi-model for nonlinear systems is suggested in [35] and the state constrained control of nonlinear systems is treated in [3]. A nonlinear state observer for the estimation of different gas species concentration profiles is proposed in [18] and a state-space approach to predictive control is given in [17].…”

Section: Introductionmentioning

confidence: 99%

An Approach to the Design of Nonlinear State-Space Control Systems

Pozna¹,

Precup²

2018

STUD INFORM CONTROL

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This paper proposes a cost-effective approach to the design of nonlinear state-space control systems. The approach is supported by a geometrical illustration of systems evolution in the state space, by the Lyapunov's direct method, the native behaviour of the controlled process, and the desired system matrix. The method is exemplified through the medium of a realworld process represented by the pendulum-cart system laboratory equipment.

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“…Such systems are called Hybrid systems due to the hybrid evolution of their state: One part of the state or variable changes discretely, the other part changes continuously over time [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Simulation of Simplified Aid for EVA Rescue Using Virtual Prototype Technology

Wen¹,

Zhang²,

Lin³

et al. 2014

TOAUTOCJ

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Abstract:The Simplified Aid for EVA Rescue (SAFER) System uses 24 GN2 thrusters to achieve six degree-of freedom maneuvering control and Automated Attitude Hold (AAH) control. It is a typical hybrid control system and difficult to model. In this article, we applied the virtual prototyping technology; and used MATLAB/Simmechanics for modeling and simulation of the SAFER system. The implementation model of hybrid control system for SAFER is demonstrated, including kinematic and dynamic model, and logical status for Automated Attitude Control (AAH). The model of SAFER is modeled by 3D modeling software, and then imported in Simmechanics as a virtual machine. Together with other Simulink module such as STATEFLOW, Look-up Table block, etc, the virtual SAFER hybrid control system can be modeled and simulated in Simulink. The result shows the validation possibilities of such a combined tool. Simulation result verifies the effectiveness of the method.

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An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems

Cited by 30 publications

References 41 publications

An integrated state space partition and optimal control method of multi-model for nonlinear systems with state estimation

An integrated state space partition and optimal control method of multi-model for nonlinear systems with state estimation

An Approach to the Design of Nonlinear State-Space Control Systems

Modeling and Simulation of Simplified Aid for EVA Rescue Using Virtual Prototype Technology

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