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This is a tutorial on the mathematical theory and process control applications of linear matrix inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities common in process control applications are shown to be LMIs. Proofs are included to familiarize the reader with the mathematics of LMIs and BMIs. LMIs and BMIs are applied to… (More)

Ž . Principal component analysis PCA is the most commonly used dimensionality reduction technique for detecting and diagnosing faults in chemical processes. Although PCA contains certain optimality properties in terms of fault detection, and Ž . has been widely applied for fault diagnosis, it is not best suited for fault diagnosis. Discriminant partial… (More)

The recognition that optimal control trajectories for batch processes can be highly sensitive to model uncertainties has motivated the development of methods for explicitly addressing robustness during batch processes. This study explores the incorporation of robust performance analysis into open-loop and closed-loop optimal control design. Several types of… (More)

Ž . Principal component analysis PCA is a well-known data dimensionality technique that has been used to detect faults Ž . during the operation of industrial processes. Dynamic principal component analysis DPCA and canonical variate analysis Ž . CVA are data dimensionality techniques which take into account serial correlations, but their effectiveness in… (More)

- Richard D. Braatz
- Annual Reviews in Control
- 2002

- Mitsuko Fujiwara, Zoltan K. Nagy, Jie W. Chew, Richard D. Braatz
- 2005

Crystallization is the main separation and purification process for the manufacturing of drug substances. Not only does crystallization affect the efficiency of downstream operations such as filtering, drying, and formulating, the efficacy of the drug can be dependent on the final crystal form. Advances in simulation and control algorithms and process… (More)

- Joshua D. Isom, Sean P. Meyn, Richard D. Braatz
- AAAI
- 2008

We describe an exact dynamic programming update for constrained partially observable Markov decision processes (CPOMDPs). State-of-the-art exact solution of unconstrained POMDPs relies on implicit enumeration of the vectors in the piecewise linear value function, and pruning operations to obtain a minimal representation of the updated value function. In… (More)

- Rudiyanto Gunawan, Irene Fusman, Richard D. Braatz
- 2004

Population balance equations have been used to model a wide range of processes including polymerization, crystallization, cloud formation, and cell dynamics. Rather than developing new algorithms specific to population balance equations, it is proposed to adapt the high-resolution finite volume methods developed for compressible gas dynamics, which have… (More)

- David L. Ma, Richard D. Braatz
- IEEE Trans. Contr. Sys. Techn.
- 2001

Finite-time control policies are common in batch and semibatch operations. A novel approach is proposed that quantifies the impact of parameter and control implementation inaccuracies on the performance of such control policies. This information can be used to decide whether more experiments are needed to produce parameter estimates of higher accuracy, or… (More)

- Venkatasailanathan Ramadesigan, Paul W. C. Northrop, Sumitava De, Shriram Santhanagopalan, Richard D. Braatz, Venkat R. Subramaniana
- 2012

The lithium-ion battery is an ideal candidate for a wide variety of applications due to its high energy/power density and operating voltage. Some limitations of existing lithium-ion battery technology include underutilization, stress-induced material damage, capacity fade, and the potential for thermal runaway. This paper reviews efforts in the modeling and… (More)