Over the past few years, there has been an increasing demand for modal sensors and actuators for precision sensing and actuation of single or multiple modes in distributed systems, such as plates, and beams. These systems have a wide range of applications and are used in many electro-mechanical devices. The efficiency of such devices largely depends on the precise dynamics of the structural components, as in micro-electro-mechanical (MEMs) devices. Therefore, better sensing of the dynamics of such components and necessary actuation is key to increasing the precision of such devices. The use of distributed modal sensors and actuators in active control mitigates the problem of spillover effects, which occurs when high-frequency unmodeled modes affect the stability of a closed-loop system. A comprehensive study on the control of the deterministic and stochastic system using discrete transducer design and distributed rectangular shape transducers for controlling the dynamics of systems is reported. This thesis places its focus on the shape design of distributed transducers with the objective of achieving effective control over both deterministic and stochastic systems under various loading conditions. The ultimate goal is to enable the transducers to sense and actuate the desired modes of the system. General boundary conditions are considered with a finite element framework so that the transducer design is applicable to any vibrating beam. The distributed transducer’s shape width is approximated using the finite element beam shape function, keeping the length of transducers constant and equal to the length of the beam. Piezoelectric composites are considered as transducers (actuators and sensors), and the signal is considered proportional to the excited response of the targeted mode for optimization. Designing the shape of transducers, whether they serve as actuators or sensors, has proven to be a highly challenging task, especially when the objective is to efficiently stimulate or detect a specific mode. The primary challenge lies in designing the transducer in such a way that it enables effective control of deterministic systems, ultimately leading to enhanced performance with the same input voltage. When it comes to actuators, the shape design should aim to optimize the excitation of the desired mode while minimizing the unwanted modes. Achieving effective control of the deterministic system involves ensuring that the transducer’s shape allows for precise and accurate actuation, resulting in improved performance. Similarly, for sensors, the shape design should be tailored to maximize the sensitivity to the desired mode while minimizing interference from other modes or external disturbances. The principles of shape design for transducers is then extended to the control of stochastic systems with assumed random uncertainty. The chapter explores the use of Monte Carlo simulation as a numerical analysis technique for studying these systems. The principles of shape design revolve around optimizing the transducer’s geometry and characteristics to achieve effective control in the presence of random uncertainty. This involves considering factors such as material properties and shape modifications that can enhance control performance under uncertain conditions. To analyze the performance of the designed transducers, Monte Carlo simulation is utilized. This simulation technique involves generating a large number of random samples based on the assumed probability distribution of the uncertain variables. These samples are then used to evaluate the system’s behavior and performance, allowing for statistical analysis and assessment of the control effectiveness. The thesis then delves into the mathematical formulation of control techniques for both deterministic and stochastic systems. A numerical example featuring a cantilever beam subjected to various loading’s, illustrating the application of the formulated control techniques is reported. Finally, the optimally shaped transducer is used to control an externally excited beam under different loading conditions with a cantilever boundary condition. The voltage inputs required to control a shaped modal actuator are compared with a regular rectangular-shaped.