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We present the Berkeley Library for Optimization Modeling (BLOM), an open-source tool for optimization-based modeling and control formulation implemented in Simulink. The underlying structure for BLOM is a novel way of representing linear and nonlinear mathematical functions that allows for easy computation of closed form gradients, Jacobians and Hessians.… (More)

- Yudong Ma, Sergey Vichik, Francesco Borrelli
- CDC
- 2012

This paper presents a method for solving linear stochastic model predictive control (SMPC) subject to joint chance constraints. The chance constraints are decoupled using Boole’s inequality and by introducing a set of unknowns representing allowable violation for each constraint (the risk). A tailored interior point method is proposed to explore the special… (More)

- Sergey Vichik, Francesco Borrelli
- Computers & Chemical Engineering
- 2014

We present the design of an analog circuit which solves linear programming (LP) or Quadratic Programming (QP) problems. In particular, the steadystate circuit voltages are the components of the LP (QP) optimal solution. The paper shows how to construct the circuit and provides a proof of equivalence between the circuit and the LP (QP) problem. The proposed… (More)

We consider a problem encountered when trying to estimate a Gaussian random field using a distributed estimation approach based on Gaussian graphical models. Because of constraints imposed by estimation tools used in Gaussian graphical models, the a priori covariance of the random field is constrained to embed conditional independence constraints among a… (More)

- Veronica Adetola, Sorin C. Bengea, +11 authors Anthony Kelman
- 2014

The paper presents the development and application of Model Predictive Control (MPC) and Fault Detection and Diagnostics (FDD) technologies to a large-scale HVAC system, their on-line implementation, and results from several demonstrations. The two technologies are executed at the supervisory level in a hierarchical control architecture as extensions of a… (More)

- Sergey Vichik, Murat Arcak, Francesco Borrelli
- Systems & Control Letters
- 2016

- Sorin C. Bengea, Pengfei Li, +6 authors Anthony Kelman
- 2014

The paper presents the development and application of Model Predictive Control (MPC) and Fault Detection and Diagnostics (FDD) technologies to a large-scale HVAC system, their on-line implementation, and results from several demonstrations. The two technologies are executed at the supervisory level in a hierarchical control architecture as extensions of a… (More)

- Sergey Vichik, Francesco Borrelli
- ACC
- 2014

We present the design of an analog circuit which solves linear programming (LP) or Quadratic Programming (QP) problems. In particular, the steady-state circuit voltages are the components of the LP (QP) optimal solution. The proposed method is used to implement a LP-based Model Predictive Controller by using an analog circuit. VLSI design of an LP problem… (More)

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