Basic-

      •  Linear Systems
        Introduction to the fundamental theory of finite-dimensional linear systems with emphasis on the state-space representation. The topics to be covered include but are not limited to 1)mathematical representations of systems, 2) linear dynamic solutions, 3) controllability, observability, and stability, 4) linearization and realization theory, and 5) state feedback and state observer.
      •  Nonlinear Systems
        Failure of superposition of effects; phase-plane analysis; limit-cycles; Lyapunov stability; hyperstability and input-output stability; controllability and observability of nonliear systems; feedback linearization; robust nonlinear control system design.
      •  Stochastic Systems
        Theory and applications involving probability, random variables, functions of random variables, and stochastic processes, including Gaussian and Markov processes. Correlation, power spectral density, and nonstationary random processes. Response of linear systems to stochastic processes. State-space formulation and covariance analysis.
      •  Neural Networks
        Introduction to mathematical analysis of networks and learning rules, and on the application of neural networks to certain engineering problems inimage and signal processing and control systems.
      •  Intelligent Systems
        Introduction to the state-of-the art intelligent control and system successfully deployed to industrial and defense applications. The topics to be covered include, but are not limited to, 1) emerging intelligent algorithms (e.g., NN, FS, GA, EP, DES), 2) intelligent control architecture (e.g., bottom-up, top-down, seminotics), 3 reinforcement learning and hybrid systems, and 4) case studies and design projects.
      •  Optimization
        The concepts, issues, and most practicable methods for linear and nonlinear, unconstrained and constrained, multivariable optimiation. This applications oriented course is intended for all engineering and science disciplines.
      •  Digital Control Systems
        Input-output and state-space representation of linear discrete-time systems. Approximate methods in discrete-time representation. Stability methods. Controllability, observability, state estimation, and parameter identification. Design and analysis of feedback control system using frequency-domain and state-space methods. Introduction to optimal control.
      •  Digital Data Acquisition
        Use of microcomputers operating in realtime applied to engineering systems for data acquisition and control, use of analog to digital, digital to analog, and digital input/output, synchronous and asynchronous programming. Competence in the engineering use of microcomputers through lectures and laboratory applications.
      •  Discrete Event Simulation
      •  Production Control
        Principles and practice of industrial control. Modern quality philosophy, including a process improvement strategy incorporating charter, documentation of knowledge and improvement cycle. Theory and use of statistical process control (SPC) tools for problem solving and continuous improvement. Variables and attributes control charts for both discrete and continuous flow/batch processes. Process capability and performance analysis including strengths and weaknesses of Cpk and Ppk indices. Introduction to acceptance sampling, including ANSI/ASQC Z1.4 standards.

      Advanced-

      •  Robotics
        Design and performance analysis of robots and manipulators as applied in flexible manufacturing and automation. Structural synthesis, kinematic and dynamic analysis, dexterity analysis, motion programming, and control system analysis and synthesis.
      •  System Identification
        Linear and nonlinear system modeling of random systems. Models of linear time-invariant systems, nonparametric methods and preliminary model development, parameter estimation methods, convergence and consistency, asymptotic distributions of parameter estimates. Nonlinear modeling.
      •  Adaptive Control
        Analysis and design of control techniques which modify their performance to adapt to changes in system operation. Review of systems analysis techniques, including state variable representations, linearization, discretization, covariance analysis, stability, and linear quadratic Gaussian design. On-line parameter estimation, model reference adaptive systems, self-tuning regulators, stable adaptive systems.
      •  Optimal Control
        Optimal control theory for modern systems design. Specification of optimum performance indices. Dynamic programming, calculus of variations and Pontryagin's minimum principle. Iterative numerical techniques for trajectory optimization.
      •  Multivariable Control
        Introduction to multivariable sysems: SISO robustness vs. MIMO robustness; multivariable system poles and zeros; MIMO transfer functions; multivariable frequency response analysis; multivariable Nyquist theorem; performance specifications; stability of feedback systems; linear fractional transformations (LFT's); parameterization of all stabilizing controllers; structured singular value; algebraic ricatti equations; H2 optimal control; H-infinity controller design.
      •  Intelligent Control
      •  Real-time Distributed Systems
        Fundamental concepts associated with the design of software for implementation on distributed computer systems using real-time operating systems. Parallel computing in a real-time environment and control algorithm design. State-of-the-art boards including analog-to-digital and digital-to-analog equipment and newest computer-aided software engineering tools.
      •  Estimation Theory
        Optimal estimation theory including linear and nonlinear estimation of discrete and continuous random functions. Wiener and Kalman filter theory included.
      •  Queuing Theory
      •  Advanced Systems Modeling
      •  Advanced Nonlinear Control
        Introduction to vector fields and Lie algebra; controllability and observability of nonlinear systems; local decompositions; input-output and state-space representation of nonlinear systems; feedback linearization; controlled invariance and distribution; control of Hamiltonian systems.
      •  Advanced Process Control
      •  Advanced Production Control
        Modern quality philosophy and application. Theory and application of traditional and nontraditional control charting techniques. Special emphasis on underlying assumptions such as normality and error-free inspection. Oriented toward economically-based statistical monitoring of processes, including optimization of decision variables such as sample size, frequency, and control limit spread.
      •  Reliability and Maintainability
         

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