The role of control in design: From fixing problems to the design of dynamics

Banaszuk, Andrzej; Mehta, Prashant G.; Hagen, Gregory

doi:10.1016/j.conengprac.2006.11.006

Cited by 8 publications

(8 citation statements)

References 48 publications

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“…We consider the PDE system (1.123,1.124) with wave-speed mistuning and a feedback nonlinearity satisfying a sector bound. As discussed in [7], [26] it is known that wave-speed mistuning acts abilize thermo-acoustic systems with skew-symmetric heat-release coupling. However, in these cases the results were established only for finite-dimensional models.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Analysis of the system truncated to a single pair of modes has appeared in [33,26], where the mistuning produces beneficial coupling between the first pair of modes [7]. The mistuning also produces coupling The mistuned t her mo-acoustic model described above serves as a specific example motivating the study of, possibly infinite-dimensional, systems with the following structure.…”

Section: Thermo-acoustic Model With Mistuningmentioning

confidence: 99%

“…In most combustion dynamic applications, identifying the exact form of the heat-release coupling is difficult, and therefore it is appropriate to study the absolute stability properties of such systems, where the skew-symmetric feedback is characterized by a sector bound. Recent work has revealed the importance of skew-symmetric coupling in wave-equation systems [7,8] and how mistuning can enhance the stability of such systems. This phenomena is also common in suppression of blade flutter instabilities [10,60,58,70].…”

Section: Periodic Systemsmentioning

confidence: 99%

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Design of Beneficial Wave Dynamics for Engine Life and Operability Enhancement

Hagen¹

2010

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Summary of AccomplishmentsThe accomplishments of this research program emphasized the more promising directions of points (2) and (3) listed above, where the uncertainty management called out in point (1) was implicitly accommodated in the analysis. A particular emphasis of this research was the identification of nonlinear models based on high-speed video of flame dynamics. This is a key component of the thermo-acoustic feedback model studied extensively in previous AFOSR-sponsored research programs at UTRC. These results are presented in section 1.1.These concepts were extended to nonlinear model reduction based on tangent space approximations. Here local gramians are empirically computed based on perturbation trajectories. Key components of this research were the development and application of algorithms for approximating the nonlinear manifold for which a data set belongs, and identification of the nonlinear dynamics on the particular manifold. This lead to the concept of a hybrid (switching) locally affine dynamic texture model, based on the local tangent space approximation of the manifold. These results are presented in section 1.2. ^oUo^wvn Stability Analysis of Systems with Symmetry-Breaking is presented in section 1.3. Here, sufficient conditions are established for a nonlinear PDE model of thermo-acoustics with wave-speed mistuning. In investigating a new approach to stability analysis of the nonlinear thermo-acoustic model we developed the concept of continued fraction convergence as a condition for stability. Initial results are presented for a string of oscillators and the concepts are extended to the application of subsystems connected in a ring structure.The results of the current research are summarized in 7 journal papers (1 published, 1 accepted, 5 in preparation), 9 conference papers, and another 2 conference papers currently in preparation.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Thermo-acoustic Model With Mistuningmentioning

confidence: 99%

Section: Periodic Systemsmentioning

confidence: 99%

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Design of Beneficial Wave Dynamics for Engine Life and Operability Enhancement

Hagen¹

2010

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“…3, the sensor feeds back the measured dynamics of the system. This is especially important for separation control applications where large fl uctuation levels may be present, which can destabilize the controller (Banaszuk et al, 2006a;Ogata, 2001;Tian et al, 2006a, b). The ideal sensor system should possess known constant gain and phase responses, because large phase lags can lead to controller instabilities (Ogata, 2001).…”

Section: Control System Issuesmentioning

confidence: 99%

Fundamentals and Applications of Modern Flow Control

Joslin¹,

Miller²,

Miller³

2009

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“…Such a process often involves experts from different disciplines who need to integrate models of various domains to analyze their interaction or to redesign components in a way that increases system-level efficiency or controllability [Banaszuk et al, 2007]. Such processes require models that can be used beyond time-domain simulation, for example in conjunction with frequency domain analysis (to analyze stability and design beneficial dynamic behavior) or with optimization algorithms (to optimize the design or operation).…”

Section: Introductionmentioning

confidence: 99%

Modelica-based modelling and simulation to support research and development in building energy and control systems

Wetter

2009

Journal of Building Performance Simulation

159

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Traditional building simulation programs possess attributes that make them difficult to use for the design and analysis of building energy and control systems and for the support of model-based research and development of systems that may not already be implemented in these programs. This paper presents characteristic features of such applications, and it shows how equation-based object-oriented modeling can meet requirements that arise in such applications. Next, the implementation of an open-source component model library for building energy systems is presented. The library has been developed using the equation-based object-oriented Modelica modeling language. Technical challenges of modeling and simulating such systems are discussed. Research needs are presented to make this technology accessible to user groups that have more stringent requirements with respect to the numerical robustness of simulation than a research community may have. Two examples are presented in which models from the here described library were used. The first example describes the design of a controller for a nonlinear model of a heating coil using model reduction and frequency domain analysis. The second example describes the tuning of control parameters for a static pressure reset controller of a variable air volume flow system. The tuning has been done by solving a non-convex optimization problem that minimizes fan energy subject to state constraints.

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The role of control in design: From fixing problems to the design of dynamics

Cited by 8 publications

References 48 publications

Design of Beneficial Wave Dynamics for Engine Life and Operability Enhancement

Design of Beneficial Wave Dynamics for Engine Life and Operability Enhancement

Fundamentals and Applications of Modern Flow Control

Modelica-based modelling and simulation to support research and development in building energy and control systems

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